cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Jacaena zhui Zhang and Fu 2011, comb. nov.
Creators: name: Dankittipakul, Pakawin
name: Tavano, Maria
name: Singtripop, Tippawan
Publisher: name: Zenodo
Year: 2013
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Arachnida
Araneae
Liocranidae
Jacaena
Jacaena zhui

description: Jacaena zhui (Zhang and Fu, 2011) comb. nov. Sesieutes zhui Zhang and Fu, 2011: 71, figs 1–15, description of ♂♀. Diagnosis Females of J. zhui comb. nov. can be distinguished from those of J. schwendingeri comb. nov. by their smaller copulatory orifices that are located more anteriorly, internal ducts that are simple, and the spermathecae that are robust. In J. schwendingeri comb. nov. the copulatory orifices are distinctly larger and medially situated on the epigynal plate (Figure 7 A), the internal ducts are partially enlarged, and the anterior portion of the spermathecae is spherical (Figure 8 F). Males differ by the apex of the conductor, which is blunt, whereas in J. schwendingeri comb. nov. the conductor is sharply pointed and more elongate (Figures 4 A, 9 A). Distribution Yunnan Province, southern China.
description: Published as part of Dankittipakul, Pakawin, Tavano, Maria & Singtripop, Tippawan, 2013, Revision of the spider genus Jacaena Thorell, 1897, with descriptions of four new species from Thailand (Araneae: Corinnidae), pp. 1539-1567 in Journal of Natural History 47 (23) on page 1556, DOI: 10.1080/00222933.2012.763059, http://zenodo.org/record/556127
description: {"references": ["Zhang F, Fu JY. 2011. First report of the genus Sesieutes Simon (Araneae: Liocranidae) from China, with description of one new species. Ent News. 121: 69 - 74."]}
Measurement of zero degree single photon energy spectra for sqrt(s) = 7TeV proton-proton collisions at LHC
Creators: name: Adriani, O.
name: Bonechi, L.
name: Bongi, M.
name: Castellini, G.
name: D'Alessandro, R.
name: Faus, A.
name: Fukatsu, K.
name: Haguenauer, M.
name: Itow, Y.
name: Kasahara, K.
name: Kawade, K.
name: Macina, D.
name: Mase, T.
name: Masuda, K.
name: Matsubara, Y.
name: Menjo, H.
name: Mitsuka, G.
name: Muraki, Y.
name: Nakai, M.
name: Noda, K.
name: Papini, P.
name: Perrot, A. -L.
name: Ricciarini, S.
name: Sako, T.
name: Shimizu, Y.
name: Suzuki, K.
name: Suzuki, T.
name: Taki, K.
name: Tamura, T.
name: Torii, S.
name: Tricomi, A.
name: Turner, W. C.
name: Velasco, J.
name: Viciani, A.
name: Yoshida, K.
Publisher: name: arXiv
Year: 2011
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences

description: In early 2010, the Large Hadron Collider forward (LHCf) experiment measured very forward neutral particle spectra in LHC proton-proton collisions. From a limited data set taken under the best beam conditions (low beam-gas background and low occurance of pile-up events), the single photon spectra at sqrt(s)=7TeV and pseudo-rapidity (eta) ranges from 8.81 to 8.99 and from 10.94 to infinity were obtained for the first time and are reported in this paper. The spectra from two independent LHCf detectors are consistent with one another and serve as a cross check of the data. The photon spectra are also compared with the predictions of several hadron interaction models that are used extensively for modeling ultra high energy cosmic ray showers. Despite conservative estimates for the systematic errors, none of the models agree perfectly with the measurements. A notable difference is found between the data and the DPMJET 3.04 and PYTHIA 8.145 hadron interaction models above 2TeV where the models predict higher photon yield than the data. The QGSJET II-03 model predicts overall lower photon yield than the data, especially above 2TeV in the rapidity range 8.81
ЖИНОЯТЧИЛИКНИНГ КЕЛАЖАКДАГИ ТЕНДЕНЦИЯЛАРИНИ ҚЎЗҒАТУВЧИ ОМИЛЛАР, УЛАРНИ ПРОГНОЗЛАШ ВА ОЛДИНИ ОЛИШ ЧОРА-ТАДБИРЛАРИ
Creators: name: Холмирзаев, Муҳсинбек
Publisher: name: Zenodo
Year: 2024

description: Мазкур мақолада жиноятчиликнинг келажакдаги тенденцияларини қўзғатувчи омиллар нималар бўлиши мумкинлиги, уларнинг жиноятчиликнинг ўсишига ёки янги турдаги жиноятларни келиб чиқишига таъсири, уларни криминологик прогнозлашнинг имкониятлари, пронозлаш натижаларидан фойдаланишнинг самарадорлиги  ҳақида ва шу билан бирга соҳани такомиллаштиришга қаратилган бир қатор таклифлар, мулоҳазалар ўз аксини топган.
Flavoured soft leptogenesis and natural values of the B term
Creators: name: Fong, Chee Sheng
name: Gonzalez-Garcia, M. C.
name: Nardi, Enrico
name: Racker, J.
Publisher: name: arXiv
Year: 2010
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: We revisit flavour effects in soft leptogenesis relaxing the assumption of universality for the soft supersymmetry breaking terms. We find that with respect to the case in which the heavy sneutrinos decay with equal rates and equal CP asymmetries for all lepton flavours, hierarchical flavour configurations can enhance the efficiency by more than two orders of magnitude. This translates in more than three order of magnitude with respect to the one-flavour approximation. We verify that lepton flavour equilibration effects related to off-diagonal soft slepton masses are ineffective for damping these large enhancements. We show that soft leptogenesis can be successful for unusual values of the relevant parameters, allowing for $B\sim {\cal O}({\rm TeV})$ and for values of the washout parameter up to $m_{\rm eff}/m_* \sim 5\times 10^{3}$.
description: 23 pages, 5 figures postscript, Minor changes to match the published version in JHEP
The Spread of Evidence-Poor Medicine via Flawed Social-Network Analysis
Creators: name: Lyons, Russell
Publisher: name: arXiv
Year: 2010
Subjects: subject: Methodology (stat.ME)
subject: Social and Information Networks (cs.SI)
subject: Physics and Society (physics.soc-ph)
subject: FOS: Computer and information sciences
subject: FOS: Physical sciences

description: The chronic widespread misuse of statistics is usually inadvertent, not intentional. We find cautionary examples in a series of recent papers by Christakis and Fowler that advance statistical arguments for the transmission via social networks of various personal characteristics, including obesity, smoking cessation, happiness, and loneliness. Those papers also assert that such influence extends to three degrees of separation in social networks. We shall show that these conclusions do not follow from Christakis and Fowler's statistical analyses. In fact, their studies even provide some evidence against the existence of such transmission. The errors that we expose arose, in part, because the assumptions behind the statistical procedures used were insufficiently examined, not only by the authors, but also by the reviewers. Our examples are instructive because the practitioners are highly reputed, their results have received enormous popular attention, and the journals that published their studies are among the most respected in the world. An educational bonus emerges from the difficulty we report in getting our critique published. We discuss the relevance of this episode to understanding statistical literacy and the role of scientific review, as well as to reforming statistics education.
description: 16 pp, 2 figures
title: Unit cell based evaluation of strain energy densities in transforming three-phase materials
Creators: name: Chavert, Alfonso Bartolomé
Publisher: name: TU Wien
Year: 2011
Subjects: subject: Kontinuumsmikromechanik
subject: Micromechanics
subject: Simulation
subject: Phasenübergänge
subject: Phase Transitions
subject: Einheitszellen
subject: Unit Cells
subject: Finite Elemente
subject: Finite Element Method
subject: Continuum micromechanics
subject: simulation
subject: phase transitions
subject: unit cells
subject: finite elements
subject: finite element method

description: Over the past 25 years ternary hard coatings produced by chemical vapor deposition (CVD) have played an increasingly important role in many applications, e.g. in machining and in the automotive and aerospace industries. A group of important representatives of this class of material are titanium aluminium nitride (TiAlN) systems, which age harden at elevated temperatures due to spinodal decomposition of TiAlN into TiN and cubic AlN. In order to describe the energetic balance and kinetics of the decomposition of supersaturated Ti(1-x)AlxN the strain energy density (SED) associated with this transformation must be known. In the present work this SED is evaluated by treating the three-phase system as a composite consisting of two types of transforming particles (TiN, AlN) embedded in a matrix (TiAlN) or as a random three-phase material. Under these assumptions, the analytical and numerical methods of continuum micromechanics can be brought to bear on the problem, the emphasis being put on Finite-Element-based unit cell methods in the present case. Cube-shaped volume elements consisting of a predefined number of periodic, nonoverlapping, equally sized, spherical particles embedded in a matrix were generated by a Random Sequential Insertion technique. Periodicity boundary conditions were applied to these unit cells and the Finite ElementMethod (FEM) was used to obtain the elastic fields due to transformation strains prescribed to the particles. These fields, in turn, allowed evaluating the SED of the transformed system. Primarily, effects of the Al mole fraction, of the volume fractions of the particles and of the macroscopic constraints (unconstrained, fully constrained, layer-constrained) on the SED were studied. In addition, results were obtained for particles of polyhedral shape and for voxel-type random phase arrangements. The predictions of the FEM-based periodic homogenization show that the SED is most strongly determined by the volume fraction of transformed material, by the Al mole fraction and by the microtopology of the volume elements used. In the case of matrix-inclusion topologies, the influence of the particle shape turned out to be rather small. Excellent agreement with analytical Transformation Field Analysis models based on Mori-Tanaka methods was achieved when using matrix-inclusion microtopologies, thus verifying previous modeling work. This good agreement was traced to the low elastic contrast of the constituents of the TiAlN-TiN-AlN system.
ARGUMENTATION AS A COMPONENT OF THE PERSUASION PROCESS IN JUDICIAL DISCOURSE
Creators: name: Matiienko-Silnytska, A.
Publisher: name: The Scientific Heritage
Year: 2020
Subjects: judicial speech
argumentation
persuasion.

description: The article is devoted to the identification of the role of argumentation in providing the influencing effect of a judicial speech. The basic laws of logic on which the argumentation is based, the levels of argumentation in judicial speech, the elements of argumentation are considered. The basic requirements for the methods of presenting evidence that contribute to the achievement of persuasion are given.
Chiral symmetry breaking with lattice propagators
Creators: name: Aguilar, A. C.
name: Papavassiliou, J.
Publisher: name: arXiv
Year: 2010
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: High Energy Physics - Lattice (hep-lat)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We study chiral symmetry breaking using the standard gap equation, supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of this analysis is the non-abelian quark-gluon vertex, which controls the way the ghost sector enters into the gap equation. Specifically, this vertex introduces a numerically crucial dependence on the ghost dressing function and the quark-ghost scattering amplitude. This latter quantity satisfies its own, previously unexplored, dynamical equation, which may be decomposed into individual integral equations for its various form factors. In particular, the scalar form factor is obtained from an approximate version of the "one-loop dressed" integral equation, and its numerical impact turns out to be rather considerable. The detailed numerical analysis of the resulting gap equation reveals that the constituent quark mass obtained is about 300 MeV, while fermions in the adjoint representation acquire a mass in the range of (750-962) MeV.
description: 32 pages, 13 figures
Arch-supported lateral wedge insoles for biomechanical management of knee osteoarthritis
Creators: name: Tse, Calvin
Publisher: name: University of British Columbia
Year: 2024

description: Introduction: Lateral wedge insoles (LWIs) are a biomechanically-informed intervention designed to reduce magnitudes of the knee adduction moment (KAM), a primary risk factor for medial tibiofemoral osteoarthritis (medial TFOA) progression. Alternative LWIs with arch support and variable-stiffness construction have yet to be investigated comprehensively for their effects on gait biomechanics, internal knee loading characteristics, and implementation for clinical use. This Dissertation investigated the effects of LWIs, and the feasibility of predicting biomechanical responses to LWIs in individuals with medial TFOA. Methods: Three-dimensional gait biomechanics were measured with motion capture technology in healthy adults and those with medial TFOA. All participants completed iterations of walking trials with various LWIs and a flat control insole. Plantar pressure distribution was measured from healthy adults using shoe-embedded pressure sensors (Chapter 4). Tibiofemoral joint contact characteristics during weightbearing with LWIs were assessed by upright magnetic resonance imaging (MRI) in participants with medial TFOA (Chapter 5). Demographic, anthropometric, descriptors of medial TFOA, joint alignment, and movement characteristics of participants with medial TFOA were obtained by clinically-accessible and laboratory-derived methods; these variables were examined for their ability to predict biomechanical responders to LWIs with and without arch support. (Chapter 6). Results: KAM impulse reduction was possible with standalone LWIs and arch-supported LWIs with a variable-stiffness design. Further, ankle eversion from LWIs was mitigated by LWIs with a variable-stiffness arch support. Regional plantar pressure distribution differed between LWIs, such that rearfoot and forefoot pressures were lower with the arch-supported LWIs, while midfoot pressure was lower with the standalone LWIs. MRI demonstrated LWIs can modify tibiofemoral joint contact characteristics during weightbearing, but additional research is necessary to confirm these exploratory findings. Clinically-accessible observations of participant information successfully predicted biomechanical responders to standalone and arch-supported LWIs, with a similar predictive ability as models using laboratory-derived predictors. Conclusion: LWIs are a cost effective and low risk biomechanical intervention for medial TFOA. Nuances between lateral wedge designs may highlight the specific insole that is best suited for different patient presentations. By predicting biomechanical response prior to intervention, improved treatment efficacy with LWIs for managing medial TFOA may be possible.
Fair Sampling Error Analysis on NISQ Devices
Creators: name: Golden, John
name: Bärtschi, Andreas
name: O'Malley, Daniel
name: Eidenbenz, Stephan
Publisher: name: arXiv
Year: 2021
Subjects: subject: Quantum Physics (quant-ph)
subject: Data Structures and Algorithms (cs.DS)
subject: FOS: Physical sciences
subject: FOS: Computer and information sciences

description: We study the status of fair sampling on Noisy Intermediate Scale Quantum (NISQ) devices, in particular the IBM Q family of backends. Using the recently introduced Grover Mixer-QAOA algorithm for discrete optimization, we generate fair sampling circuits to solve six problems of varying difficulty, each with several optimal solutions, which we then run on twenty backends across the IBM Q system. For a given circuit evaluated on a specific set of qubits, we evaluate: how frequently the qubits return an optimal solution to the problem, the fairness with which the qubits sample from all optimal solutions, and the reported hardware error rate of the qubits. To quantify fairness, we define a novel metric based on Pearson's $χ^2$ test. We find that fairness is relatively high for circuits with small and large error rates, but drops for circuits with medium error rates. This indicates that structured errors dominate in this regime, while unstructured errors, which are random and thus inherently fair, dominate in noisier qubits and longer circuits. Our results show that fairness can be a powerful tool for understanding the intricate web of errors affecting current NISQ hardware.
Algebraic Spivak's theorem and applications
Creators: name: Annala, Toni
Publisher: name: arXiv
Year: 2021
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: We prove an analogue of Lowrey--Schürg's algebraic Spivak's theorem when working over a base ring $A$ that is either a field or a nice enough discrete valuation ring, and after inverting the residual characteristic exponent $e$ in the coefficients. By this result algebraic bordism groups of quasi-projective derived $A$-schemes can be generated by classical cycles, leading to vanishing results for low degree $e$-inverted bordism classes, as well as to the classification of quasi-smooth projective $A$-schemes of low virtual dimension up to $e$-inverted cobordism. As another application, we prove that $e$-inverted bordism classes can be extended from an open subset, leading to the proof of homotopy invariance of $e$-inverted bordism groups for quasi-projective derived $A$-schemes.
description: 45 pages. Submitted version
Electron transport in doped semiconductor nanocrystals
Creators: name: Staller, Corey Michael
Publisher: name: The University of Texas at Austin
Year: 2019
Subjects: Conduction
Nanocrystals
Tin-doped indium oxide
Depletion
Metal-insulator transition

description: Electron transport through semiconductor nanocrystal (NC) systems is almost entirely understood by analogs to bulk science. The physics governing electron transport within NCs is entirely analogous to bulk semiconductors with extreme spatial constraints. In contrast, the physics of electrons conducting between NCs is understood through the physics of amorphous materials, granular metals, or bulk semiconductors, depending on the structure of the NC ensemble. Herein is an investigation of how dopant distribution engineering can be utilized to modulate near surface depletion in NC films. The dependence of NC film conductivity on dopant distribution is eliminated by surface passivation. A code to fit the optical absorption of colloidal NCs is developed to account for surface scattering, depletion, size heterogeneity, and dopant heterogeneity. This code is used to define the conduction within an individual NC. The intra-NC conduction is used as a metric to describe and define the phase diagram of NC film electron transport. Using the criteria developed here, we make metallic films in a controlled manner. This work illustrates an overview of bulk electron transport and an introduction of NC film electron transport in Chapter 1. These descriptions will then be used to investigate the powerful capability to engineer intra-NC dopant distribution to manipulate NC film conductivity in Chapter 2. The intra-NC conductance is then investigated using a novel code to fit the optical absorption of NCs in Chapter 3. With a deep understanding of intra-NC transport, the electron transport phase diagram is constructed in Chapter 4.
Discriminant groups of wild cyclic quotient singularities
Creators: name: Lorenzini, Dino
name: Schröer, Stefan
Publisher: name: arXiv
Year: 2021
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics
subject: 14J17, 14B05, 13A50, 14E15

description: Let p be prime. We describe explicitly the resolution of singularities of several families of wild Z/pZ-quotient singularities in dimension two, including families that generalize the quotient singularities of type E_6, E_7, and E_8 from p=2 to arbitrary characteristics. We prove that for odd primes, any power of p can appear as the determinant of the intersection matrix of a wild Z/pZ-quotient singularity. We also provide evidence towards the conjecture that in this situation one may choose the wild action to be ramified precisely at the origin.
description: 44 pages
Brain Network Analysis: Separating Cost from Topology using Cost-integration
Creators: name: Ginestet, Cedric E.
name: Nichols, Thomas E.
name: Bullmore, Ed T.
name: Simmons, Andrew
Publisher: name: arXiv
Year: 2011
Subjects: subject: Molecular Networks (q-bio.MN)
subject: Neurons and Cognition (q-bio.NC)
subject: Quantitative Methods (q-bio.QM)
subject: Methodology (stat.ME)
subject: FOS: Biological sciences
subject: FOS: Computer and information sciences

description: A statistically principled way of conducting weighted network analysis is still lacking. Comparison of different populations of weighted networks is hard because topology is inherently dependent on wiring cost, where cost is defined as the number of edges in an unweighted graph. In this paper, we evaluate the benefits and limitations associated with using cost-integrated topological metrics. Our focus is on comparing populations of weighted undirected graphs using global efficiency. We evaluate different approaches to the comparison of weighted networks that differ in mean association weight. Our key result shows that integrating over cost is equivalent to controlling for any monotonic transformation of the weight set of a weighted graph. That is, when integrating over cost, we eliminate the differences in topology that may be due to a monotonic transformation of the weight set. Our result holds for any unweighted topological measure. Cost-integration is therefore helpful in disentangling differences in cost from differences in topology. By contrast, we show that the use of the weighted version of a topological metric does not constitute a valid approach to this problem. Indeed, we prove that, under mild conditions, the use of the weighted version of global efficiency is equivalent to simply comparing weighted costs. Thus, we recommend the reporting of (i) differences in weighted costs and (ii) differences in cost-integrated topological measures. We demonstrate the application of these techniques in a re-analysis of an fMRI working memory task. Finally, we discuss the limitations of integrating topology over cost, which may pose problems when some weights are zero, when multiplicities exist in the ranks of the weights, and when one expects subtle cost-dependent topological differences, which could be masked by cost-integration.
description: Accepted for publication in PLoS one, in June 2011
Collapsing Calabi-Yau fibrations and uniform diameter bounds
Creators: name: Li, Yang
Publisher: name: arXiv
Year: 2021
Subjects: subject: Differential Geometry (math.DG)
subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: As a sequel to \cite{Licollapsing}, we study Calabi-Yau metrics collapsing along a holomorphic fibration over a Riemann surface. Assuming at worst canonical singular fibres, we prove a uniform diameter bound for all fibres in the suitable rescaling. This has consequences on the geometry around the singular fibres.
Twisted Derived Equivalences and Isogenies between K3 Surfaces in Positive Characteristic
Creators: name: Bragg, Daniel
name: Yang, Ziquan
Publisher: name: arXiv
Year: 2021
Subjects: subject: Algebraic Geometry (math.AG)
subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 14G17, 11G99

description: We study isogenies between K3 surfaces in positive characteristic. Our main result is a characterization of K3 surfaces isogenous to a given K3 surface $X$ in terms of certain integral sublattices of the second rational $\ell$-adic and crystalline cohomology groups of $X$. This is a positive characteristic analog of a result of Huybrechts, and extends results of the second author. We give applications to the reduction types of K3 surfaces and to the surjectivity of the period morphism. To prove these results we describe a theory of B-fields and Mukai lattices in positive characteristic, which may be of independent interest. We also prove some results on lifting twisted Fourier--Mukai equivalences to characteristic 0, generalizing results of Lieblich and Olsson.
description: Improvements to exposition following referee report. To appear in Algebra & Number Theory
Ontological security in the new climate regime
Creators: name: Ayer, Joshua
Publisher: name: University of British Columbia
Year: 2022

description: By sealing off economics from ecology as distinct disciplines, modern economics gained a subject of study that was wholly liberated from the physical restraints of the planet. However, limits, imposed by the environment, have seemingly returned and maintaining a strict division between economics and ecology is no longer advantageous. Where modern economics saw its potential as boundless and the environment as something from which societies could draw endlessly, ecology now threatens to limit how fast and how much societies can grow. Ecological economics is the (inter-) disciplinary attempt to reconcile the modern hopes of a boundless economy with an ecology that appears increasingly volatile to human interventions. Growth (how much and how fast) is one of the key focal points in ecological economics. In this thesis I argue that modern economic growth is propelled (energized) by phenomena that arise ontologically, that is, from a modern mode of being itself. I propose that Modern being is characterized by an experience of ontological anxiety that culminates in nihilistic expansion, and that this expansion is confronting physical limitations. I begin with a brief overview of the ecological economics literature that problematizes growth as a structural-cultural-political phenomenon and argue that where philosophical approaches have been successful in the ecological economics literature, an ontological approach like the one I propose is unique. The next chapter (chapter I) theorizes ontological anxiety where chapter II analyzes a specifically modern articulation of anxiety. Finally, chapter III brings the topics of modernity and anxiety together in an analysis of contemporary eco-politics (which philosopher Bruno Latour refers to as the new climate regime). I conclude with a discussion of trust and social capital, indicating that both have strong potential for future research and constructive policy solutions.
Self-consistent electron counting statistics
Creators: name: Emary, Clive
Publisher: name: arXiv
Year: 2010
Subjects: subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment brings. We describe how counting fields may be included in a self-consistent manner in this formalism such that the full counting statistics can be calculated. NonMarkovian effects are also incorporated. Several different self-consistent approximations are introduced and we discuss their relative strengths with a simple example.
description: 11 pages, 2 figures
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titleType: Subtitle
title: Low mass-dimensional microwave frequency standard on Hg-199 ions for telecommunication systems
Creators: name: ÐÑÐºÐ°ÑÐµÐ², ÐÐ¸ÐºÐ¸ÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2019
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quantum frequency standard
telecommunications
ion trap
auomatic frequency control algorithm
control system
hg standard
photon counter

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð¿ÑÐ¾ÑÐ¾ÑÐ¸Ð¿Ð° ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¼Ð°Ð»Ð¾Ð³Ð°Ð±Ð°ÑÐ¸ÑÐ½Ð¾Ð³Ð¾ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ° ÑÐ°ÑÑÐ¾ÑÑ Ð½Ð° Ð¸Ð¾Ð½Ð°Ñ ÑÑÑÑÐ¸-199. ÐÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐ½ÑÐ¹ Ð¾Ð±Ð·Ð¾Ñ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð½Ð°ÑÑÐ½ÑÑ Ð¿ÑÐ±Ð»Ð¸ÐºÐ°ÑÐ¸Ð¹ Ð¸ ÑÑÐ°ÑÐµÐ¹ Ð½Ð° ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÐ¼ÑÑ ÑÐµÐ¼Ð°ÑÐ¸ÐºÑ. Ð Ð°ÑÑÑÐ¸ÑÐ°Ð½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¾Ð¿ÐµÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð³Ð½Ð°Ð»Ð°, Ð¿Ð¸ÑÐ°ÑÑÐµÐ³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð»Ð¾Ð²ÑÑÐºÑ. ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÑÐµÐ¼Ð¾ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾ Ð¿Ð¾ÑÑÑÐ¾Ð¹ÐºÐµ Ð´ÑÐ°Ð¹Ð²ÐµÑÐ°-ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°ÑÐµÐ»Ñ Ð´Ð»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÑÑÑÐµÐ³Ð¾ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð»Ð¾Ð²ÑÑÐºÐ¸. ÐÐ¿Ð¸ÑÐ°Ð½Ñ Ð¸ Ð²Ð½ÐµÐ´ÑÐµÐ½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð¾ÑÐ¸Ð±ÐºÐ¸ Ð² ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð¼ ÑÑÐ°Ð½Ð´Ð°ÑÑÐµ, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÐºÐ¾Ð½ÑÑÐ¾Ð»Ñ Ð·Ð° ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼ Ð»Ð¾Ð²ÑÑÐºÐ¸. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑ Ð³Ð¾Ð²Ð¾ÑÐ¸ÑÑ Ð¾ ÑÐ¾ÑÑÐ°Ð½ÐµÐ½Ð¸Ð¸ ÑÐ¾ÑÐ½Ð¾ÑÑÐ½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¸ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¼ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ð¸ Ð¼Ð°ÑÑÐ¾Ð³Ð°Ð±Ð°ÑÐ¸ÑÐ½ÑÑ.
description: In the given work the results of constructing the control system for the new low mass-dimensional frequency standard prototype are presented. The research of the latest scientific papers and patents on the given issue has been done. Parameters of the drive signal, feeding the trap, have been calculated. Circuitry ways of constructing the trap drive are presented. The new algorithms for automatic frequency control and trap field control are and implemented. The given results show saving the precisions characteristics while significant decrease of mass-dimensional parameters is seen.
Threshold scattering for the focusing NLS with a repulsive potential
Creators: name: Miao, Changxing
name: Murphy, Jason
name: Zheng, Jiqiang
Publisher: name: arXiv
Year: 2021
Subjects: subject: Analysis of PDEs (math.AP)
subject: FOS: Mathematics

description: We adapt the arguments in the recent work of Duyckaerts, Landoulsi, and Roudenko to establish a scattering result at the sharp threshold for the $3d$ focusing cubic NLS with a repulsive potential. We treat both the case of short-range potentials as previously considered in the work of Hong, as well as the inverse-square potential, previously considered in the work of the authors.
description: 37 pages
Quantum accelerometer: distinguishing inertial Bob from his accelerated twin Rob by a local measurement
Creators: name: Dragan, Andrzej
name: Fuentes, Ivette
name: Louko, Jorma
Publisher: name: arXiv
Year: 2010
Subjects: subject: Quantum Physics (quant-ph)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: Single quantum system, such as Unruh-DeWitt detector, can be used to determine absolute acceleration by local measurements on a quantum field. To show this, we consider two kinematically indistinguishable scenarios: an inertial observer, Bob, measuring the field of an uniformly accelerated cavity, and his non-inertial twin Rob accelerating and making measurements in a stationary cavity. We find that these scenarios can be distinguished in the non-relativistic regime only by measurements on highly excited massive fields, allowing one to detect non-inertialness of the reference frame.
description: I.F. previously published as Fuentes-Guridi and Fuentes-Schuller
Exact dark energy star solutions
Creators: name: Yazadjiev, Stoytcho S.
Publisher: name: arXiv
Year: 2011
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: Adopting the phantom (ghost) scalar field description of dark energy, we construct a general class of exact interior solutions describing mixed relativistic stars containing both ordinary matter and dark energy in different proportions. The exterior solution that continuously matches the interior solutions is found. Exact solutions describing extremal configuration with zero ordinary matter pressure are also constructed.
description: 8 pages, LaTex; v2 comments and references added, typos corrected
Anatomy of a Data Citation
Creators: name: ripeta, figshare admin
name: Welles DeVore, August
name: Hudson Vitale, Cynthia
name: McIntosh, Leslie D.
Publisher: name: Ripeta
Year: 2021
Subjects: subject: 100504 Data Communications
subject: FOS: Electrical engineering, electronic engineering, information engineering
subject: 160511 Research, Science and Technology Policy
subject: FOS: Political science

description: This is a guide on how to write an effective data citation.
Nonlocal gravity and the diffusion equation
Creators: name: Calcagni, Gianluca
name: Nardelli, Giuseppe
Publisher: name: arXiv
Year: 2010
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: We propose a nonlocal scalar-tensor model of gravity with pseudodifferential operators inspired by the effective action of p-adic string and string field theory on flat spacetime. An infinite number of derivatives act both on the metric and scalar field sector. The system is localized via the diffusion equation approach and its cosmology is studied. We find several exact dynamical solutions, also in the presence of a barotropic fluid, which are stationary in the diffusion flow. In particular, and contrary to standard general relativity, there exist solutions with exponential and power-law scale factor also in an open universe, as well as solutions with sudden future singularities or a bounce. Also, from the point of view of quantum field theory, spontaneous symmetry breaking can be naturally realized in the class of actions we consider.
description: 18 pages, 5 figures. v2: typos corrected, references added. Major changes are an expansion of the discussion of homogeneous perturbations and the inclusion of cosmological fluids in the dynamics
Local boundedness of Catlin q-type
Creators: name: Yazici, Ozcan
Publisher: name: arXiv
Year: 2021
Subjects: subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: In [6], D'Angelo introduced the notion of finite type for points $p$ of a real hypersurface $M$ of $\mathbb C^n$ by defining the order of contact $Δ_q(M,p)$ of complex analytic $q$-dimensional varieties with $M$ at $p$. Later, Catlin [4] defined $q$-type, $D_q(M,p)$ for points of hypersurfaces by considering generic $(n-q+1)$-dimensional complex affine subspaces of $\mathbb C^n$. We define a generalization of the Catlin's $q$-type for an arbitrary subset $M$ of $\mathbb C^n$ in a similar way that D'Angelo's 1-type, $Δ_1(M,p)$, is generalized in [13]. Using recent results connecting the D'Angelo and Catlin $q$-types in [1] and building on D'Angelo's work on the openness of the set of points of finite $Δ_q$-type, we prove the openness of the set of points of finite Catlin $q$-type for an arbitrary subset $M\subset \mathbb C^n$.
Diglot Textbooks and Dictionaries As a Means to the Assimilation of the National Language of Viet Nam
Creators: name: Lee, Ernest (Ed.)
Publisher: name: Pacific Linguistics
Year: 1978

description: DIGLOT TEXTBOOKS AND DICTIONARIES AS A MEANS TO THE ASSIMILATION OF THE NATIONAL LANGUAGE OF VIET NAM. 357 1. Introduction 357 2. Basic Approaches for Assimilating the National Language 358 3. The Monolingual Approach for Viet Nam's Ethnic Minorities 360 4. The Bilingual Approach for Viet Nam's Ethnic Minorities 361 5. Implementation and Evaluation of the Bilingual Approach in Viet Nam 363 6. Conclusion 364Bibliography 366
Construction of self-dual normal bases and their complexity
Creators: name: Arnault, François
name: Pickett, Erik Jarl
name: Vinatier, Stéphane
Publisher: name: arXiv
Year: 2010
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics

description: Recent work of Pickett has given a construction of self-dual normal bases for extensions of finite fields, whenever they exist. In this article we present these results in an explicit and constructive manner and apply them, through computer search, to identify the lowest complexity of self-dual normal bases for extensions of low degree. Comparisons to similar searches amongst normal bases show that the lowest complexity is often achieved from a self-dual normal basis.
Pitfalls of amateur regression: The Dutch New Herring controversies
Creators: name: Gao, Fengnan
name: Gill, Richard D.
Publisher: name: arXiv
Year: 2021
Subjects: subject: Applications (stat.AP)
subject: FOS: Computer and information sciences

description: Applying simple linear regression models, an economist analysed a published dataset from an influential annual ranking in 2016 and 2017 of consumer outlets for Dutch New Herring and concluded that the ranking was manipulated. His finding was promoted by his university in national and international media, and this led to public outrage and ensuing discontinuation of the survey. We reconstitute the dataset, correcting errors and exposing features already important in a descriptive analysis of the data. The economist has continued his investigations, and in a follow-up publication repeats the same accusations. We point out errors in his reasoning and show that alleged evidence for deliberate manipulation of the ranking could easily be an artefact of specification errors. Temporal and spatial factors are both important and complex, and their effects cannot be captured using simple models, given the small sample sizes and many factors determining perceived taste of a food product.
description: 18 pages, 4 figures. Final version 8: Minor revision with two new paragraphs on "sensitivity analysis", to be published in Scandinavian Journal of Statistics
Non-linear Functional Modeling using Neural Networks
Creators: name: Rao, Aniruddha Rajendra
name: Reimherr, Matthew
Publisher: name: arXiv
Year: 2021
Subjects: subject: Machine Learning (cs.LG)
subject: Artificial Intelligence (cs.AI)
subject: Methodology (stat.ME)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences

description: We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two variations of our framework: a functional neural network with continuous hidden layers, called the Functional Direct Neural Network (FDNN), and a second version that utilizes basis expansions and continuous hidden layers, called the Functional Basis Neural Network (FBNN). Both are designed explicitly to exploit the structure inherent in functional data. To fit these models we derive a functional gradient based optimization algorithm. The effectiveness of the proposed methods in handling complex functional models is demonstrated by comprehensive simulation studies and real data examples.
description: 3 figures, 10 tables (including supplementary material), 14 pages (including supplementary material)
Nonparametric needlet estimation for partial derivatives of a probability density function on the $d$-torus
Creators: name: Durastanti, Claudio
name: Turchi, Nicola
Publisher: name: arXiv
Year: 2021
Subjects: subject: Statistics Theory (math.ST)
subject: FOS: Mathematics
subject: 62G08, 62G20, 65T60

description: This paper is concerned with the estimation of the partial derivatives of a probability density function of directional data on the $d$-dimensional torus within the local thresholding framework. The estimators here introduced are built by means of the toroidal needlets, a class of wavelets characterized by excellent concentration properties in both the real and the harmonic domains. In particular, we discuss the convergence rates of the $L^p$-risks for these estimators, investigating on their minimax properties and proving their optimality over a scale of Besov spaces, here taken as nonparametric regularity function spaces.
description: 40 pages, 4 figures, 4 tables
Intersection numbers of spectral curves
Creators: name: Eynard, B.
Publisher: name: arXiv
Year: 2011
Subjects: subject: Mathematical Physics (math-ph)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences
subject: 14-XX

description: We compute the symplectic invariants of an arbitrary spectral curve with only 1 branchpoint in terms of integrals of characteristic classes in the moduli space of curves. Our formula associates to any spectral curve, a characteristic class, which is determined by the laplace transform of the spectral curve. This is a hint to the key role of Laplace transform in mirror symmetry. When the spectral curve is y=\sqrt{x}, the formula gives Kontsevich--Witten intersection numbers, when the spectral curve is chosen to be the Lambert function \exp{x}=y\exp{-y}, the formula gives the ELSV formula for Hurwitz numbers, and when one chooses the mirror of C^3 with framing f, i.e. \exp{-x}=\exp{-yf}(1-\exp{-y}), the formula gives the Marino-Vafa formula, i.e. the generating function of Gromov-Witten invariants of C^3. In some sense this formula generalizes ELSV, Marino-Vafa formula, and Mumford formula.
description: 53 pages, 1 fig, Latex, minor modifications
title: Ð¡Ð¸ÑÑÐµÐ¼Ð° Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð±Ð¾ÑÑ ÐÐ£Ð Â«ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¼ÐµÑÑÐ¾Ð¿Ð¾Ð»Ð¸ÑÐµÐ½Â» Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ Ð²Ð½ÐµÐ´ÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³Ð° Ð¿Ð°ÑÑÐ°Ð¶Ð¸ÑÐ¾Ð¿Ð¾ÑÐ¾ÐºÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: System for analysis and optimization of work state unitary enterprise "Petersburg metro" throught the implementation of passenger traffic monitoring
Creators: name: ÐÑÐµÐ¼ÐµÐ½ÐºÐ¾, ÐÑÑÐµÑÐ»Ð°Ð²
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³ Ð¿Ð°ÑÑÐ°Ð¶Ð¸ÑÐ¾Ð¿Ð¾ÑÐ¾ÐºÐ°
Ð¾Ð±ÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð°ÑÑÐ°Ð¶Ð¸ÑÐ¾Ð²
ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ
analysis and optimization
passenger flow monitoring
examination of passengers
software development

description: Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ð° ÑÑÑÐ½Ð¾ÑÑÑ ÑÐ¸ÑÑÐµÐ¼ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¿Ð°ÑÑÐ°Ð¶Ð¸ÑÐ¾Ð¿Ð¾ÑÐ¾ÐºÐ° Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÐÐ£Ð Â«ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¼ÐµÑÑÐ¾Ð¿Ð¾Ð»Ð¸ÑÐµÐ½Â» Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ Ð²Ð½ÐµÐ´ÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³Ð°. ÐÐ°Ð½Ñ Ð¾Ð±ÑÐ¸Ðµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Ð¸ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ°ÐºÐ¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐ°. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ¸ÑÑÐµÐ¼-Ð¿ÑÐ¾ÑÐ¾ÑÐ¸Ð¿Ð¾Ð². ÐÐ·ÑÑÐµÐ½Ð° ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ñ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ ÑÐºÐ°Ð·Ð°Ð½Ð½Ð¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐ° ÑÐ¸ÑÑÐµÐ¼. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¼Ð¾Ð½Ð¸ÑÐ¾ÑÐ¸Ð½Ð³Ð°.
description: The paper describes the essence of passenger flow optimization systems using the example of the State Unitary Enterprise âPetersburg Metroâ through the implementation of monitoring. General concepts and classification of systems of this class are given. The analysis of prototype systems carried out. The technology of creating the specified class of systems is studied. The software for the monitoring system has been developed.
Hamiltonian structure of 2D fluid dynamics with broken parity
Creators: name: Monteiro, Gustavo M.
name: Abanov, Alexander G.
name: Ganeshan, Sriram
Publisher: name: arXiv
Year: 2021
Subjects: subject: Fluid Dynamics (physics.flu-dyn)
subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: Isotropic fluids in two spatial dimensions can break parity symmetry and sustain transverse stresses which do not lead to dissipation. Corresponding transport coefficients include odd viscosity, odd torque, and odd pressure. We consider an isotropic Galilean invariant fluid dynamics in the adiabatic regime with momentum and particle density conservation. We find conditions on transport coefficients that correspond to dissipationless and separately to Hamiltonian fluid dynamics. The restriction on the transport coefficients will help identify what kind of hydrodynamics can be obtained by coarse-graining a microscopic Hamiltonian system. Interestingly, not all parity-breaking transport coefficients lead to energy conservation and, generally, the fluid dynamics is energy conserving but not Hamiltonian. We show how this dynamics can be realized by imposing a nonholonomic constraint on the Hamiltonian system.
description: 25 pages, 1 figure. New version with minor revisions
Self-Dual Integral Normal Bases and Galois Module Structure
Creators: name: Pickett, Erik Jarl
name: Vinatier, Stéphane
Publisher: name: arXiv
Year: 2010
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics

description: Let $N/F$ be an odd degree Galois extension of number fields with Galois group $G$ and rings of integers ${\mathfrak O}_N$ and ${\mathfrak O}_F=\bo$ respectively. Let $\mathcal{A}$ be the unique fractional ${\mathfrak O}_N$-ideal with square equal to the inverse different of $N/F$. Erez has shown that $\mathcal{A}$ is a locally free ${\mathfrak O}[G]$-module if and only if $N/F$ is a so called weakly ramified extension. There have been a number of results regarding the freeness of $\mathcal{A}$ as a $\Z[G]$-module, however this question remains open. In this paper we prove that $\mathcal{A}$ is free as a $\Z[G]$-module assuming that $N/F$ is weakly ramified and under the hypothesis that for every prime $\wp$ of ${\mathfrak O}$ which ramifies wildly in $N/F$, the decomposition group is abelian, the ramification group is cyclic and $\wp$ is unramified in $F/\Q$. We make crucial use of a construction due to the first named author which uses Dwork's exponential power series to describe self-dual integral normal bases in Lubin-Tate extensions of local fields. This yields a new and striking relationship between the local norm-resolvent and Galois Gauss sum involved. Our results generalise work of the second named author concerning the case of base field $\Q$.