bluuebunny/crossref_metadata_2025 huggingface dataset:
UNCORRELATED LOCAL FISHER DISCRIMINANT ANALYSIS FOR FACE RECOGNITION
Authors: HUANG HONG , LIU JIAMIN , FENG HAILIANG
Published: March 2011

An improved manifold learning method, called Uncorrelated Local Fisher Discriminant Analysis (ULFDA), for face recognition is proposed. Motivated by the fact that statistically uncorrelated features are desirable for dimension reduction, we propose a new difference-based optimization objective function to seek a feature submanifold such that the within-manifold scatter is minimized, and between-manifold scatter is maximized simultaneously in the embedding space. We impose an appropriate constraint to make the extracted features statistically uncorrelated. The uncorrelated discriminant method has an analytic global optimal solution, and it can be computed based on eigen decomposition. As a result, the proposed algorithm not only derives the optimal and lossless discriminative information, but also guarantees that all extracted features are statistically uncorrelated. Experiments on synthetic data and AT&T, extended YaleB and CMU PIE face databases are performed to test and evaluate the proposed algorithm. The results demonstrate the effectiveness of the proposed method.
RESEARCH ON ATTRIBUTE-BASED TRUST ELEVATION PROBLEMS IN P2P ENVIRONMENT
Authors: JIANG ZHENG-TAO , ZOU DEBIN , FENG YAO-QIU
Published: March 2011

Besides security, trust is another key factor affecting resource sharing. The progress and existing problems of trust management related works were analyzed, and several key factors for impacting trust construction were pointed out. Trust management from the aspect of attribute-based recommended trust, trust improvement, trust domain and trust evaluation is investigated. Under certain conditions, a member can improve its direct and recommended trust by initiative cooperation and thus obtain more resource sharing opportunities. These methods were then used in new-member joining problems. With the debit and credit method, a small group with related benefit was established, and at the same time new-member joining, behavior monitoring, resource sharing competence were encouraged.
GAS MIXTURE QUANTIFICATION BASED ON HILBERT–HUANG TRANSFORM AND NEURAL NETWORK BY A SINGLE SENSOR
Authors: WEI GUANGFEN , AN WEN , ZHU ZHILIN
Published: March 2011

Temperature modulation has been proved to be an efficient technique for improving the selectivity and stability of gas sensors. In this paper, a new signal processing approach is proposed for metal oxide gas sensor signals under the modulation of its operating temperature, which combined a novel global feature extraction method based on the Hilbert–Huang Transform with a pattern recognition method based on neural network. By using the empirical mode decomposition method, the dynamic signals are decomposed into the intrinsic modes that coexist in the sensor system, and a better understanding of the nature of the gas sensing response information contained in the sensor response signals is approached. The method is demonstrated by an application in the identification and quantification of gas mixtures containing three flammable species using a micro gas sensor. The three gas analytes are methane ( CH4), ethanol ( C2H6O ) and carbon monoxide (CO). And the relative average quantification errors for the three gases are about 7%, 8% and 12%, respectively.
ON MAXIMAL SUBGROUPS OF FREE OBJECTS OF CERTAIN COMPLETELY REGULAR SEMIGROUP VARIETIES
Authors: DOLINKA IGOR
Published: March 2011

By adjusting a method of Kadourek and Polák developed for free semigroups satisfying xr≏ x, we prove that if [Formula: see text] is a periodic group variety, then any maximal subgroup of the free object in the completely regular semigroup variety of the form [Formula: see text] is a relatively free group in [Formula: see text] over a suitable set of free generators. When [Formula: see text] is locally finite, we provide some bounds for the sizes of its finitely generated members.
TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS
Authors: BOVDI V. A. , KONOVALOV A. B. , LINTON S.
Published: March 2011

Using the Luthar–Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2and Co3.
COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS
Authors: EICK BETTINA , FEICHTENSCHLAGER DÖRTE
Published: March 2011

Eick and Leedham-Green introduced infinite sequences of p-groups of fixed coclass. Here we describe an algorithm to compute the Schur multiplicators of all groups in an infinite sequence simultaneously. Based on this, we prove that these Schur multiplicators can be described by a single parametrised presentation; this confirms a conjecture by Eick. Similar results are obtained for certain low-dimensional cohomology groups; these results support a conjecture by Carlson.
DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
Authors: LAMACZ AGNES
Published: March 2011

We study the long-time behavior of waves in a strongly heterogeneous medium, starting from the one-dimensional scalar wave equation with variable coefficients. We assume that the coefficients are periodic with period ε and ε > 0 is a small length parameter. Our main result concerns homogenization and consists in the rigorous derivation of two different dispersive models. The first is a fourth-order equation with constant coefficients including powers of ε. In the second model, the ε-dependence is completely avoided by considering a third-order linearized Korteweg–de Vries equation. Our result is that both simplified models describe the long-time behavior well. An essential tool in our analysis is an adaption operator which modifies smooth functions according to the periodic structure of the medium.
PSEUDODIFFERENTIAL EQUATIONS ON THE SPHERE WITH SPHERICAL SPLINES
Authors: PHAM T. D. , TRAN T. , CHERNOV A.
Published: March 2011

Spherical splines are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy. The approximate solutions are found by using Galerkin method. We prove optimal convergence (in Sobolev norms) of the approximate solution by spherical splines to the exact solution. Our numerical results underlie the theoretical result.
COLLAPSE AND DISPERSAL IN MASSLESS SCALAR FIELD MODELS
Authors: BHATTACHARYA SWASTIK , GOSWAMI RITUPARNO , JOSHI PANKAJ S.
Published: March 2011

The phenomena of collapse and dispersal for a massless scalar field have drawn considerable interest in recent years, mainly from a numerical perspective. We give here a sufficient condition for the dispersal to take place for a scalar field that initially begins with a collapse. It is shown that the change of the gradient of the scalar field from a timelike to a spacelike vector must be accompanied by the dispersal of the scalar field. This result holds independently of any symmetries of the spacetime. We demonstrate the result explicitly by means of an example, which is the scalar field solution given by Roberts. The implications of the result are discussed.
STAGGERING OF THE B(M1) VALUE AS A FINGERPRINT OF SPECIFIC CHIRAL BANDS STRUCTURE
Authors: GRODNER E.
Published: March 2011

Nuclear chirality has been intensively studdied for the last several years in the context of experimental as well as theoretical approach. Characteristic gamma selection rules have been predicted for the strong chiral symmetry breaking limit that has been observed in Cs isotopes. The presented analysis shows that the gamma selection rules cannot be attributed only to chiral symmetry breaking. The selection rules relate to structural composition of the chiral rotational bands, i.e., to odd particle configuration and the deformation of the core.
Fund Rating Model Based on Finite Normal Mixture Distribution
Authors: Gao Zhangpeng , Rahman Shahidur , Rahman Shafiqur
Published: March 2011

This paper proposes a new method of fund rating based on the cross-sectional distribution of fund performance measured by alpha. This distribution-based fund rating model is more flexible and provides more interesting results than current commercial fund rating method used by Morningstar. Unlike Morningstar's rating, this method does not use preset percentiles to rate funds. It is the distribution of alpha that dictates the number of performance groups in a given fund category and time period. The framework is based on the crucial assumption that the expected fund performance may be different, and the difference of the expected fund performance arises from the segmented market information and/or the differentiated ability of mangers to acquire and analyze information. The multimodal shape and formal normality tests prompt us to model the distribution of alpha by finite normal mixture model. We introduce the parametric bootstrap procedure to determine the number of performance groups in the model. We then employ expectation and maximization (EM) algorithm to estimate the model. Based on the estimated posterior probabilities of the fund, we assign the rating to funds. Our empirical results show that the number of performance groups is not fixed and varies across time and fund categories. We observe a clear tendency of the merging of information sets, which implies that the fund market has become gradually more efficient over time as information was well transmitted and analyzed.
Fiscal and Monetary Policies in Reaction to the Financial Tsunami by the Taiwanese Government
Authors: Chen Hsiao-Yin , Lee Cheng-Few , Tai Tzu , Wang Kehluh
Published: March 2011

The main purpose of this paper is to investigate the impact of the 2007 financial tsunami on the Taiwanese financial market. We find that, although significant for banks, security firms, and insurance companies, the effect was relatively lower if compared with that in Europe and the United States. In addition, we present fiscal and monetary policies issued by the Taiwanese government in reaction to the global financial crisis. These policy measures focused on stabilizing the financial market, reducing the level of unemployment, and creating more lending opportunities in support of Taiwanese companies. We also discuss the policy measures of the US government and other Asian countries in relation to the global financial crisis. Finally, we provide some suggestions to improve financial supervision and enhance financial reforms in Taiwan.
The Impacts of R&D Investment on Company Performance: US vs. Taiwanese Technology-Intensive Industry
Authors: Han I , Chuang Cheng-Min
Published: March 2011

Based upon the resource-based view and national culture perspectives, this paper investigates the two-way relationship between R&D investment and company performance. We propose that company performance and R&D investment have mutual effects, and the magnitude of these mutual effects varies with different national cultures, different company rewarding systems, and different decision-making patterns of management teams. Related hypotheses are developed and tested on the data of the US and Taiwanese technology-intensive companies during 1998–2003, and are generally supported by the statistical results.
MODULES WITH COINDEPENDENT MAXIMAL SUBMODULES
Authors: SMITH PATRICK F.
Published: March 2011

Let R be a ring with identity. A unital left R-module M has the min-property provided the simple submodules of M are independent. On the other hand a left R-module M has the complete max-property provided the maximal submodules of M are completely coindependent, in other words every maximal submodule of M does not contain the intersection of the other maximal submodules of M. A semisimple module X has the min-property if and only if X does not contain distinct isomorphic simple submodules and this occurs if and only if X has the complete max-property. A left R-module M has the max-property if [Formula: see text] for every positive integer n and distinct maximal submodules L, Li(1 ≤ i ≤ n) of M. It is proved that a left R-module M has the complete max-property if and only if M has the max-property and every maximal submodule of M/Rad M is a direct summand, where Rad M denotes the radical of M, and in this case every maximal submodule of M is fully invariant. Various characterizations are given for when a module M has the max-property and when M has the complete max-property.
IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES
Authors: BORGES INÊS , LOMP CHRISTIAN
Published: March 2011

Any finite set of linear operators on an algebra A yields an operator algebra B and a module structure on A, whose endomorphism ring is isomorphic to a subring AB of certain invariant elements of A. We show that if A is a critically compressible left B-module, then the dimension of its self-injective hull Â over the ring of fractions of AB is bounded by the uniform dimension of A and the number of linear operators generating B. This extends a known result on irreducible Hopf actions and applies in particular to weak Hopf action. Furthermore we prove necessary and sufficient conditions for an algebra A to be critically compressible in the case of group actions, group gradings and Lie actions.
SUBSTRUCTURES OF HOM
Authors: LEE TSIU-KWEN , ZHOU YIQIANG
Published: March 2011

Let M and N be two modules over a ring R. The concern is about the four substructures of hom R(M, N): the Jacobson radical J[M, N], the singular ideal Δ[M, N], the co-singular ideal ∇[M, N] and the total Tot [M, N]. One natural question is to characterize when the total is equal to one or more of the other structures. We review some known results and prove several new results towards this question and, as consequences, give answers to some related questions.
THEORETICAL STUDY OF STEREODYNAMICS AND ISOTOPIC EFFECTS FOR THE REACTIONC(3P) + OD(X2Π) → CO(X1Σ+) + D(2S)
Authors: LIU RUNZE , DING YIJUE , WEN CHENGYUAN , LI JINFENG , ZHONG MINGWANG , SHI YING
Published: March 2011

Theoretical study on stereodynamics for the title reaction as well as its isotopic effects has been studied via QCT calculations on the ground X2A′ state of ab initio potential energy surface according to the study by Zanchet et al. Four polarization-dependent generalized differential cross-sections PDDCSs ((2π/σ) (dσ00/dωt), (2π/σ)(dσ20/dωt)), (2π/σ)(dσ22+/dωt), (2π/σ)(dσ21-/dωt), and the distributions of P(θr) and P(φr) that denotes the correlations of k-j′ and k-k′-j′ are presented in this work. Product angular distribution and rotational polarization have been analyzed at different collision energies and compared with C+OH reaction. Product angular distribution shows strong forward scattering at low collision energy and becomes more symmetric with forward and backward scattering with the increasing collision energy. The alignment and orientation of product angular momentum presents a different behavior with collision energy, the former one increases monotonically with collision energy, whereas the latter one shows first decreasing and then increasing behavior, which have been analyzed in the present paper. Product rotational polarization for C+OD is weaker than that for C+OH , which is mainly due to the mass factor and zero point energy of C+OD .
ROBUST JPEG2000 IMAGE TRANSMISSION THROUGH LOW SNR MULTI-CARRIER CDMA SYSTEM IN FREQUENCY-SELECTIVE RAYLEIGH FADING CHANNELS: A PERFORMANCE STUDY
Authors: THIYAGU KATHIYAIAH , OH T. H.
Published: March 2011

The demand for high data rate transmission is ever increasing every day. Multi-carrier code division multiple access (MC-CDMA) system is considered as the forerunner and advancement in the mobile communication system. In this paper, two types of JPEG2000 lossily-compressed test images are transmitted through an MC-CDMA channel in low SNR (as low as 4 dB) environment and their quality are evaluated objectively by using peak signal-to-noise ratio (PSNR) and root mean square error (RMSE). The test images are all compressed from ratio of 10 : 1 up to 70 : 1 and the system involves multi-user image transmission in near real-time low SNR (±5 dB). It is found that JPEG2000 image compression technique that applies wavelet transform performed quite well in the low SNR multipath fading channel — as low as 4 dB, and this looks promising for future applications.
WAVELET NEURO-FUZZY MODEL WITH HYBRID LEARNING ALGORITHM OF GRADIENT DESCENT AND GENETIC ALGORITHM
Authors: BANAKAR AHMAD , AZEEM MOHAMMAD FAZLE
Published: March 2011

In this paper, a Wavelet Neuro-Fuzzy model has been proposed. The proposed work caters an application of wavelet network used in fuzzy systems for forecasting of dynamic systems. A wavelet network approximates the consequent part of each fuzzy rule. The wavelet network is a feed-forward neural network with one hidden layer that uses a combination of Wavelet and Sigmoid Activation Function. A hybrid learning method composed of genetic algorithm and gradient descent is proposed to tune the learning parameters of the proposed Wavelet Neuro-Fuzzy model. Further, an analysis regarding the convergence and stability of gradient descent learning is presented for the proposed Wavelet Neuro-Fuzzy model. To evaluate the effectiveness of proposed model and learning strategy, three different classes of benchmark problems have been considered.
SYSTEM DESIGN OF ENERGY-EFFICIENT COOPERATIVE MIMO SCHEME FOR CLUSTER-BASED WIRELESS SENSOR NETWORKS
Authors: TANG BO , WANG YANDONG , ZHOU MINGTIAN
Published: March 2011

Wireless Sensor Networks (WSNs) with limited energy resource demand the implementation of energy-efficient techniques in applications. Recently, the scheme based on cooperative MIMO (Multiple-Input-Multiple-Output) has been proposed to enhance energy saving in WSNs. In this paper, we analyze the performance of energy consumption of inter-cluster communication based on cooperative MIMO techniques in cluster-based WSNs, and then propose a novel method to optimize the energy consumption analysis by changing the network topology into an equivalent double-string topology which can be easily solved by using optimization programming problem in SISO (Single-Input-Single-Output) system model, where cooperating nodes within each MIMO scheme transmission steps are treated as a virtual node. The simulation results show that our proposed data transmission with cooperative MIMO scheme outperforms the protocol without MIMO techniques significantly in terms of energy, lifetime and delay in multi-hop WSNs.
OUTLIERS DETECTION WITH CORRELATED SUBSPACES FOR HIGH DIMENSIONAL DATASETS
Authors: LENG JINSONG , HUANG ZHIHU
Published: March 2011

Detecting outliers in high dimensional datasets is quite a difficult data mining task. Mining outliers in subspaces seems to be a promising solution, because outliers may be embedded in some interesting subspaces. Due to the existence of many irrelevant dimensions in high dimensional datasets, it is of great importance to eliminate the irrelevant or unimportant dimensions and identify outliers in interesting subspaces with strong correlation. Normally, the correlation among dimensions can be determined by traditional feature selection techniques and subspace-based clustering methods. The dimension-growth subspace clustering techniques find interesting subspaces in relatively lower possible dimension space, while dimension-growth approaches intend to find the maximum cliques in high dimensional datasets. This paper presents a novel approach by identifying outliers in correlated subspaces. The degree of correlation among dimensions is measured in terms of the mean squared residue. In doing so, we employ the frequent pattern algorithms to find the correlated subspaces. Based on the correlated subspaces obtained, outliers are distinguished from the projected subspaces by using classical outlier detection techniques. Empirical studies show that the proposed approach can identify outliers effectively in high dimensional datasets.
OPTIMAL ERROR BOUND AND APPROXIMATION METHODS FOR A CAUCHY PROBLEM OF THE MODIFIED HELMHOLTZ EQUATION
Authors: QIAN AILIN , WU YUJIANG
Published: March 2011

We consider a Cauchy problem for a modified Helmholtz equation, especially when we give the optimal error bound for this problem. Some spectral regularization methods and a revised Tikhonov regularization method are used to stabilize the problem from the viewpoint of general regularization theory. Hölder-type stability error estimates are provided for these regularization methods. According to the optimality theory of regularization, the error estimates are order optimal.
CHAOS BASED PARTIAL ENCRYPTION OF SPIHT COMPRESSED IMAGES
Authors: TANEJA NIDHI , RAMAN BALASUBRAMANIAN , GUPTA INDRA
Published: March 2011

Resource-constrained wireless IP networks require compression based encryption techniques for secure archival, transmission and distribution of multimedia data. A partial encryption technique based on SPIHT encoder is thus proposed that provides enhanced security level by encrypting selected bit values and keeping the encrypted bit locations as secret. The proposed technique preserves the scalability property of the encoder and provides high data security without adversely affecting the compression efficiency. Two new edge based parameters, edge ratio and edge differential ratio are also proposed to measure the degradation in the encrypted image. Thorough performance and security analysis as regards to various evaluation metrics ascertains its high performance and ability to withstand cryptanalytic attacks.
TRANSFER LEARNING FOR CYTOCHROME P450 ISOZYME SELECTIVITY PREDICTION
Authors: TERAMOTO REIJI , KATO TSUYOSHI
Published: March 2011

In the drug discovery process, the metabolic fate of drugs is crucially important to prevent drug–drug interactions. Therefore, P450 isozyme selectivity prediction is an important task for screening drugs of appropriate metabolism profiles. Recently, large-scale activity data of five P450 isozymes (CYP1A2 CYP2C9, CYP3A4, CYP2D6, and CYP2C19) have been obtained using quantitative high-throughput screening with a bioluminescence assay. Although some isozymes share similar selectivities, conventional supervised learning algorithms independently learn a prediction model from each P450 isozyme. They are unable to exploit the other P450 isozyme activity data to improve the predictive performance of each P450 isozyme's selectivity. To address this issue, we apply transfer learning that uses activity data of the other isozymes to learn a prediction model from multiple P450 isozymes. After using the large-scale P450 isozyme selectivity dataset for five P450 isozymes, we evaluate the model's predictive performance. Experimental results show that, overall, our algorithm outperforms conventional supervised learning algorithms such as support vector machine (SVM), Weighted k-nearest neighbor classifier, Bagging, Adaboost, and latent semantic indexing (LSI). Moreover, our results show that the predictive performance of our algorithm is improved by exploiting the multiple P450 isozyme activity data in the learning process. Our algorithm can be an effective tool for P450 selectivity prediction for new chemical entities using multiple P450 isozyme activity data.
A NEW GENOTYPE CALLING METHOD FOR AFFYMETRIX SNP ARRAYS
Authors: FU BILIN , XU JIN
Published: March 2011

Current genotype-calling methods such as Robust Linear Model with Mahalanobis Distance Classifier (RLMM) and Corrected Robust Linear Model with Maximum Likelihood Classification (CRLMM) provide accurate calling results for Affymetrix Single Nucleotide Polymorphisms (SNP) chips. However, these methods are computationally expensive as they employ preprocess procedures, including chip data normalization and other sophisticated statistical techniques. In the small sample case the accuracy rate may drop significantly. We develop a new genotype calling method for Affymetrix 100 k and 500 k SNP chips. A two-stage classification scheme is proposed to obtain a fast genotype calling algorithm. The first stage uses unsupervised classification to quickly discriminate genotypes with high accuracy for the majority of the SNPs. And the second stage employs a supervised classification method to incorporate allele frequency information either from the HapMap data or from a self-training scheme. Confidence score is provided for every genotype call. The overall performance is shown to be comparable to that of CRLMM as verified by the known gold standard HapMap data and is superior in small sample cases. The new algorithm is computationally simple and standalone in the sense that a self-training scheme can be used without employing any other training data. A package implementing the calling algorithm is freely available at .
NONCLASSICALITY AND DECOHERENCE OF PHOTON-ADDED THERMAL STATE
Authors: WANG SHU-JING , XU XUE-XIANG , MA SHAN-JUN
Published: March 2011

Using the normally ordered form of thermal state characteristic of average photon number nc, we introduce the photon-added thermal state (PATS) and investigate its statistical properties, such as Mandel's Q-parameter, photon number distribution (PND), and Wigner function (WF). We then study its decoherence in a thermal environment with average thermal photon number [Formula: see text] and dissipative coefficient κ by deriving analytical expressions of the WF. The nonclassicality is discussed in terms of the negativity of the WF. It is found that the WF is always positive when [Formula: see text] for any number PATS. The expression for time evolution of the PND and the tomogram of PATS are also derived analytically, which are related to hypergeometric function and single variable Hermite polynomials.
A DETERMINISTIC SECURE QUANTUM COMMUNICATION PROTOCOL THROUGH A COLLECTIVE ROTATION NOISE CHANNEL
Authors: DONG HAI-KUAN , DONG LI , XIU XIAO-MING , GAO YA-JUN
Published: March 2011

A deterministic secure quantum communication protocol against collective rotation noise is proposed. If the security check is passed, the receiver can obtain a one-bit secret message with the aid of a one-bit classical message for two photons. It does not need a photon storing technique and only single photon measurement is necessary.
A FINE ESTIMATE OF QUANTUM FACTORIZATION SUCCESS PROBABILITY
Authors: ZAWADZKI PIOTR
Published: March 2011

The quantum algorithm for factorization is probably the most famous one in quantum computation. The algorithm succeeds only when some random number with an even order relative to the number to be factorized is fed as the input to the quantum order finding algorithm. It is well-known that numbers with even orders are found with probability not less than 1/2. In consequence, quantum device has to be used many times in the course of the factorization process to amplify the success probability. However, the above-mentioned limit is a rough estimate. Presented theoretical analysis and numerical simulation prove that the probability of finding a parameter with an even order is significantly higher for many composite numbers. It immediately follows that so far, presented analyses of factorization efficiency are highly underestimated in terms of required number of quantum device usage.
PHOTON INDUCED ENTANGLEMENT IN ATOM-CAVITY SYSTEMS
Authors: LAN LI-LI , WANG XIANG-BIN , FEI SHAO-MING
Published: March 2011

We study the evolution of quantum entanglement in double cavity systems. The entanglement of cavity atoms induced by entangled pair of photons is investigated. Both entanglement sudden death and entanglement sudden birth phenomena are shown to exist and are analyzed in detail. We also propose a strategy to enhance the entanglement between the atom in one cavity and the photon in another cavity by using quantum Zeno effect.
REMOTE PREPARATION OF A TWO-PARTICLE ENTANGLED STATE
Authors: PAN HAIJUN , YU HONG , YAN HONGYE
Published: March 2011

In this paper, we propose a scheme for probabilistic remote preparation of a two-particle nonmaximally entangled state. In this scheme, two pairs of the two-particle partially entangled state are used as quantum channel. Alice performs the single-particle measurement three times and sends the information to the receiver. In accordance with the information, the receiver can construct the original state. By this method, the total probability of successful preparation is enhanced.
EXOTIC SMOOTHNESS IN FOUR DIMENSIONS AND EUCLIDEAN QUANTUM GRAVITY
Authors: DUSTON CHRISTOPHER L.
Published: March 2011

In this paper we calculate the effect of the inclusion of exotic smooth structures on typical observables in Euclidean quantum gravity. We do this in the semiclassical regime for several gravitational free-field actions and find that the results are similar, independent of the particular action that is chosen. These are the first results of their kind in dimension four, which we extend to include one-loop contributions as well. We find these topological features can have physically significant results without the need for additional exotic physics.
A MATRIX MODEL FOR $\nu_{k_1k_2} = {k_1+k_2 \over k_1 k_2}$ FRACTIONAL QUANTUM HALL STATES
Authors: JELLAL AHMED , SAIDI EL HASSAN , GEYER HENDRIK B.
Published: March 2011

We propose a matrix model to describe a class of Fractional Quantum Hall (FQH), states for a system of (N1 + N2) electrons with filling factor more general than in the Laughlin case. Our model, which is developed for FQH states with filling factor of the form [Formula: see text] (k1 and k2 odd integers), has a U(N1) × U(N2) gauge invariance. Assumes that FQH fluids are composed of coupled branches of the Laughlin type, and uses ideas borrowed from hierarchy scenarios. Interactions are carried, amongst others, by fields in the bi-fundamentals of the gauge group. They simultaneously play the role of a regulator, exactly as does the Polychronakos field. We build the vacuum configurations for FQH states with filling factors given by the series [Formula: see text], p1 and p2 integers. Electrons are interpreted as a condensate of fractional D0-branes and the usual degeneracy of the fundamental state is shown to be lifted by the non-commutative geometry behavior of the plane. The formalism is illustrated for the state at [Formula: see text].
CONFORMAL SPINNING QUANTUM PARTICLES IN COMPLEX MINKOWSKI SPACE AS CONSTRAINED NONLINEAR SIGMA MODELS IN U(2, 2) AND BORN'S RECIPROCITY
Authors: CALIXTO M. , PÉREZ-ROMERO E.
Published: March 2011

We revise the use of eight-dimensional conformal, complex (Cartan) domains as a base for the construction of conformally invariant quantum (field) theory, either as phase or configuration spaces. We follow a gauge-invariant Lagrangian approach (of nonlinear sigma-model type) and use a generalized Dirac method for the quantization of constrained systems, which resembles in some aspects the standard approach to quantizing coadjoint orbits of a group G. Physical wave functions, Haar measures, orthonormal basis and reproducing (Bergman) kernels are explicitly calculated in and holomorphic picture in these Cartan domains for both scalar and spinning quantum particles. Similarities and differences with other results in the literature are also discussed and an extension of Schwinger's Master theorem is commented in connection with closure relations. An adaptation of the Born's Reciprocity Principle (BRP) to the conformal relativity, the replacement of space-time by the eight-dimensional conformal domain at short distances and the existence of a maximal acceleration are also put forward.
ON A GENERALIZATION OF A THEOREM OF LICHNEROWICZ TO MANIFOLDS WITH BOUNDARY
Authors: BRACKEN PAUL
Published: March 2011

A theorem due to Lichnerowicz which establishes a lower bound on the lowest nonzero eigenvalue of the Laplacian acting on functions on a compact, closed manifold is reviewed. It is shown how this theorem can be extended to the case of a manifold with nonempty boundary. Lower bounds for different boundary conditions, analogous to the empty boundary case, are formulated and some novel proofs are presented.
AFFINE DUALITY AND LAGRANGIAN AND HAMILTONIAN SYSTEMS
Authors: KRUPKOVÁ OLGA , SAUNDERS DAVID J.
Published: March 2011

We use affine duals of jet bundles to describe how Legendre maps may be used to provide Hamiltonian representations of variational problems in a single independent variable. Such a problem may be given as a Lagrangian (of first-order or of higher-order), or alternatively as a locally variational form on a jet bundle of arbitrary order with no preferred Lagrangian.
Isomeric separation and identification of tetra-, tri-, and di-β-sulphonic phthalocyanine zinc complexes
Authors: Jiang Zhou , He Wenyi , Yao Huisheng , Wang Jian , Chen Naisheng , Huang Jinling
Published: March 2011

The synthesis, isomeric separation, and identification of β-sulphonic phthalocyanine zinc complexes were reported. While the sulphonic phthalocyanines have been studied extensively, the development of separation technology may enable deeper insights into their isomeric constitution. An ion-pair reversed-phase high performance liquid chromatography (IP-RP-HPLC) method was developed to separate the sulphonic phthalocyanine isomers. The results showed that the product of the condensation reaction is a mixture of all possible isomers with statistical distribution. Several isomers were obtained and structural determination was undertaken by NMR. Based on the IP-RP-HPLC elution sequence of these well-identified isomers, a relationship between the structure and efficiency was deduced: closely spaced intervals of sulphonic groups lead to higher hydrophobicity and shorter retention times on HPLC. Based on this relationship, each HPLC peak was assigned to the corresponding isomeric structure.
Light harvesting phthalocyanine/subphthalocyanine system: intermolecular electron-transfer and energy-transfer reactionsviathe triplet subphthalocyanine
Authors: El-Khouly Mohamed E. , Fukuzumi Shunichi
Published: March 2011

Photoinduced electron transfer from the electron-donating zinc tetra-tert-butylphthalocyanine, ZnTBPc , to the electron-accepting dodecafluorosubphthalocyanine, SubPcF12, in the polar benzonitrile has been investigated with nanosecond laser photolysis method. The examined ZnTBPc/SubPcF12mixture absorbs the light in a wide section of the UV/vis/NIR spectra. Owing to the particular electronic properties of both entities, such combination seems to be perfectly suited for the study of intermolecular electron-transfer process in the polar solvents via the triplet-excited state of SubPcF12. Upon excitation of SubPcF12with 570 nm laser light in polar benzonitrile (εs= 25.2), the electron transfer from ZnTBPc to the triplet-excited state of SubPcF12was confirmed by observing the transient absorption bands of ZnTBPc radical cation and SubPcF12radical anion in the visible and near-IR region. On addition of an appropriate electron acceptor with excellent electron-accepting properties, namely dicyanoperylene-3,4,9,10-bis(dicarboximide) ( PDICN2), the anion radical of SubPcF12transfers to the PDICN2yielding the PDICN2radical anion. These observations confirm the photosensitized electron-transfer/electron-mediating cycle of ZnTBPc/SubPcF12/PDICN2system. In non-polar toluene (εs= 2.2), the energy-transfer process from the triplet-excited state of SubPcF12to the low-lying triplet state of ZnTBPc was confirmed by the consecutive appearance of the triplet ZnTBPc .
EXPLICIT DOUBLING INTEGRALS FOR Sp2(F) AND $\widetilde{{{\rm Sp}}_{2}}(F)$ USING "GOOD TEST VECTORS"
Authors: ZORN CHRISTIAN
Published: March 2011

In this paper, we offer some explicit computations of a formulation of the doubling method of Piatetski-Shapiro and Rallis for the groups Sp 2(F) (the rank 2 symplectic group) and its metaplectic cover [Formula: see text] for F a finite extension of ℚp with p ≠ 2. We determine a set of "good test vectors" for the irreducible constituents of unramified principal series representations for these groups as well as a set of "good theta test sections" in a family of degenerate principal series representations of Sp 4(F) and [Formula: see text]. Determining "good test data" that produces a non-vanishing doubling integral should indicate the existence of a non-vanishing theta lifts for dual pairs of the type ( Sp 2(F), O (V)) (respectively [Formula: see text]) where V is a quadratic space of an even (respectively odd) dimension.
ON THE TRANSCENDENCE OF CERTAIN INFINITE SERIES
Authors: RAM MURTY M. , WEATHERBY CHESTER J.
Published: March 2011

We investigate the transcendental nature of the sum [Formula: see text] where A(x), B(x) are polynomials with algebraic coefficients with deg A < deg B and the sum is over integers n which are not zeros of B(x). We relate this question to the celebrated conjectures of Gel'fond and Schneider. In certain cases, these conjectures are known, and this allows us to obtain some unconditional results of a general nature.
ON THE NON-VANISHING OF CERTAIN MODULAR FORMS
Authors: MUIĆ GORAN
Published: March 2011

Let Γ ⊂ SL2(ℝ) be a Fuchsian group of the first kind. In this paper, we study the non-vanishing of the spanning set for the space of cuspidal modular forms [Formula: see text] of weight m ≥ 3 constructed in [5, Corollary 2.6.11]. Our approach is based on the generalization of the non-vanishing criterion for L1-Poincaré series defined for locally compact groups and proved in [6, Theorem 4.1]. We obtain very sharp bounds for the non-vanishing of the spaces of cusp forms [Formula: see text] for general Γ having at least one cusp. We obtain explicit results for congruence subgroups Γ(N), Γ0(N), and Γ1(N) (N ≥ 1).
POWER SERIES EXPANSIONS OF MODULAR FORMS AND THEIR INTERPOLATION PROPERTIES
Authors: MORI ANDREA
Published: March 2011

We define a power series expansion of an holomorphic modular form f in the p-adic neighborhood of a CM point x of type K for a split good prime p. The modularity group can be either a classical conguence group or a group of norm 1 elements in an order of an indefinite quaternion algebra. The expansion coefficients are shown to be closely related to the classical Maass operators and give p-adic information on the ring of definition of f. By letting the CM point x vary in its Galois orbit, the rth coefficients define a p-adic K×-modular form in the sense of Hida. By coupling this form with the p-adic avatars of algebraic Hecke characters belonging to a suitable family and using a Rankin–Selberg type formula due to Harris and Kudla along with some explicit computations of Watson and of Prasanna, we obtain in the even weight case a p-adic measure whose moments are essentially the square roots of a family of twisted special values of the automorphic L-function associated with the base change of f to K.
NONSOLVABLE POLYNOMIALS WITH FIELD DISCRIMINANT 5A
Authors: ROBERTS DAVID P.
Published: March 2011

We present the first explicitly known polynomials in Z[x] with nonsolvable Galois group and field discriminant of the form ±pA for p ≤ 7 a prime. Our main polynomial has degree 25, Galois group of the form PSL2(5)5.10, and field discriminant 569. A closely related polynomial has degree 120, Galois group of the form SL2(5)5.20, and field discriminant 5311. We completely describe 5-adic behavior, finding in particular that the root discriminant of both splitting fields is 125 · 5-1/12500 ≈ 124.984 and the class number of the latter field is divisible by 54.
ON THE NUMBER OF RATIONAL ITERATED PREIMAGES OF THE ORIGIN UNDER QUADRATIC DYNAMICAL SYSTEMS
Authors: FABER XANDER , HUTZ BENJAMIN , STOLL MICHAEL
Published: March 2011

For a quadratic endomorphism of the affine line defined over the rationals, we consider the problem of bounding the number of rational points that eventually land at the origin after iteration. In the article "Uniform bounds on pre-images under quadratic dynamical systems," by two of the present authors and five others, it was shown that the number of rational iterated preimages of the origin is bounded as one varies the morphism in a certain one-dimensional family. Subject to the validity of the Birch and Swinnerton-Dyer conjecture and some other related conjectures for the L-series of a specific abelian variety and using a number of modern tools for locating rational points on high genus curves, we show that the maximum number of rational iterated preimages is six. We also provide further insight into the geometry of the "preimage curves."
SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES
Authors: SCHWARTZ RYAN , SOLYMOSI JÓZSEF , DE ZEEUW FRANK
Published: March 2011

A simultaneous arithmetic progression (s.a.p.) of length k consists of k points (xi, yσ(i)), where [Formula: see text] and [Formula: see text] are arithmetic progressions and σ is a permutation. Garcia-Selfa and Tornero asked whether there is a bound on the length of an s.a.p. on an elliptic curve in Weierstrass form over ℚ. We show that 4319 is such a bound for curves over ℝ. This is done by considering translates of the curve in a grid as a graph. A simple upper bound is found for the number of crossings and the "crossing inequality" gives a lower bound. Together these bound the length of an s.a.p. on the curve. We also extend this method to bound the k for which a real algebraic curve can contain k points from a k × k grid. Lastly, these results are extended to complex algebraic curves.
A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES
Authors: GHOSH ANISH
Published: March 2011

We prove the divergence case of the Khintchine–Groshev theorem for a large class of affine hyperplanes, completing the convergence case proved in [11] and answering in part a question of Beresnevich et al. ([4]). We use the mechanism of regular systems developed in [4] and estimates from [11].
ITERATED PRIMITIVES OF LOGARITHMIC POWERS
Authors: MEDINA LUIS A. , MOLL VICTOR H. , ROWLAND ERIC S.
Published: March 2011

The evaluation of iterated primitives of powers of logarithms is expressed in closed form. The expressions contain polynomials with coefficients given in terms of the harmonic numbers and their generalizations. The logconcavity of these polynomials is established.
A SPECIAL DEGREE REDUCTION OF POLYNOMIALS OVER FINITE FIELDS WITH APPLICATIONS
Authors: CAO WEI
Published: March 2011

Let f be a polynomial in n variables over the finite field 𝔽q and Nq(f) denote the number of 𝔽q-rational points on the affine hypersurface f = 0 in 𝔸n(𝔽q). A φ-reduction of f is defined to be a transformation σ : 𝔽q[x1, …, xn] → 𝔽q[x1, …, xn] such that Nq(f) = Nq(σ(f)) and deg f ≥ deg σ(f). In this paper, we investigate φ-reduction by using the degree matrix which is formed by the exponents of the variables of f. With φ-reduction, we may improve various estimates on Nq(f) and utilize the known results for polynomials with low degree. Furthermore, it can be used to find the explicit formula for Nq(f).
ON THE VANISHING OF FOURIER COEFFICIENTS OF CERTAIN GENUS ZERO NEWFORMS
Authors: BOYLAN MATTHEW , GARTHWAITE SHARON ANNE , WEBB JOHN
Published: March 2011

Given a classical modular form f(z), a basic question is whether any of its Fourier coefficients vanish. This question remains open for certain modular forms. For example, let Δ(z) = ΣΓ(n)qn ∈ S12(Γ0(1)). A well-known conjecture of Lehmer asserts that τ(n) ≠ 0 for all n. In recent work, Ono constructed a family of polynomials An(x) ∈ ℚ[x] with the property that τ(n) vanishes if and only if An(0) and An(1728) do. In this paper, we establish a similar criterion for the vanishing of coefficients of certain newforms on genus zero groups of prime level.
ZERO DISTRIBUTION AND DECAY AT INFINITY OF DRINFELD MODULAR COEFFICIENT FORMS
Authors: GEKELER ERNST-ULRICH
Published: March 2011

Let Γ = GL (2, 𝔽q[T]) be the Drinfeld modular group, which acts on the rigid analytic upper half-plane Ω. We determine the zeroes of the coefficient modular forms aℓk on the standard fundamental domain [Formula: see text] for Γ on Ω, along with the dependence of |aℓk(z)| on [Formula: see text].
THE SUM OF DIGITS OF n AND n2
Authors: HARE KEVIN G. , LAISHRAM SHANTA , STOLL THOMAS
Published: March 2011

Let sq(n) denote the sum of the digits in the q-ary expansion of an integer n. In 2005, Melfi examined the structure of n such that s2(n) = s2(n2). We extend this study to the more general case of generic q and polynomials p(n), and obtain, in particular, a refinement of Melfi's result. We also give a more detailed analysis of the special case p(n) = n2, looking at the subsets of n where sq(n) = sq(n2) = k for fixed k.
ZERO-FREE REGIONS OF A q-ANALOGUE OF THE COMPLETE RIEMANN ZETA FUNCTION
Authors: MERA MITSUGU
Published: March 2011

A q-analogue of the complete Riemann zeta function presented in this paper is defined by the q-Mellin transform of the Jacobi theta function. We study zero-free regions of the q-zeta function. As a by-product, we show that the Riemann zeta function does not vanish in a sub-region of the critical strip.
NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES
Authors: BLACHE RÉGIS
Published: March 2011

In this paper, we precise the asymptotic behavior of Newton polygons of L-functions associated to character sums, coming from certain n variable Laurent polynomials. In order to do this, we use the free sum on convex polytopes. This operation allows the determination of the limit of generic Newton polygons for the sum Δ = Δ1⊕Δ2 when we know the limit of generic Newton polygons for each factor. To our knowledge, these are the first results concerning the asymptotic behavior of Newton polygons for multivariable polynomials when the generic Newton polygon differs from the combinatorial (Hodge) polygon associated to the polyhedron.
CRANK 0 PARTITIONS AND THE PARITY OF THE PARTITION FUNCTION
Authors: KAAVYA S. J.
Published: March 2011

A well-known problem regarding the integer partition function p(n) is the parity problem, how often is p(n) even or odd? Motivated by this problem, we obtain the following results:

(1) A generating function for the number of crank 0 partitions of n.

(2) An involution on the crank 0 partitions whose fixed points are called invariant partitions. We then derive a generating function for the number of invariant partitions.

(3) A generating function for the number of self-conjugate rank 0 partitions.
THE ATKIN ORTHOGONAL POLYNOMIALS FOR THE LOW-LEVEL FRICKE GROUPS AND THEIR APPLICATION
Authors: SAKAI YUICHI
Published: March 2011

Kaneko and Zagier proved the relation between the Atkin orthogonal polynomials and supersingular j-polynomials for PSL 2(ℤ). Tsutsumi also proved its relation for the Hecke subgroups of level less than or equal to 4. In this paper, we define the Atkin inner product for the Fricke groups of level less than or equal to 3 and construct the Atkin orthogonal polynomials. Then, we give the relation between supersingular [Formula: see text]-polynomials defined by Koike and its polynomials. We also give extremal quasimodular forms of depth 1 by using its orthogonal polynomials.
MULTIPLICATIVE CHARACTER SUMS OF A CLASS OF NONLINEAR RECURRENCE VECTOR SEQUENCES
Authors: OSTAFE ALINA , SHPARLINSKI IGOR E. , WINTERHOF ARNE
Published: March 2011

We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have no one-dimensional analogs.
APPROXIMATIONS FONCTIONNELLES DES COURBES DES ESPACES PROJECTIFS
Authors: PHILIPPON PATRICE
Published: March 2011

Algebraic approximation to points in projective spaces offers a new and more flexible approach to algebraic independence theory. When working over the field of algebraic numbers, it leads to open conjectures in higher dimension extending known results in Diophantine approximation. We show here that over the algebraic closure of a function field in one variable, the analog of these conjectures is true. We also derive transfer lemmas which have applications in the study of multiplicity estimates, for example.
EICHLER COHOMOLOGY THEOREM FOR GENERALIZED MODULAR FORMS
Authors: RAJI WISSAM
Published: March 2011

We show starting with relations between Fourier coefficients of weakly parabolic generalized modular forms of negative weight that we can construct automorphic integrals for large integer weights. We finally prove an Eichler isomorphism theorem for weakly parabolic generalized modular forms using the classical approach as in [3].