bandt pompe approach to the classical quantum transition abstract by regarding the celebrated classical quantum transition problem as one pertaining to the domain of dynamic systems theory we present a discussion that exhibits the superiority of the bandt pompe approach to the extraction of a probability distribution from time series values

linear preservers of weak majorization on l1 i when i is an infinite set abstract the necessary and sufficient conditions that a bounded linear map on the banach space l 1 i may be considered as a linear preserver of weak majorization on l 1 i where i is an arbitrary infinite set are given also we prove that the set of all linear preservers of weak majorization is closed under the norm topology

sampling period statistical complexity and chaotic attractors abstract we analyze the statistical complexity measure vs entropy plane representation of sampled chaotic attractors as a function of the sampling period and show that if the bandt and pompe procedure is used to assign a probability distribution function pdf to the pertinent time series the statistical complexity measure scm attains a definite maximum for a specific sampling period t m on the contrary the usual histogram approach for assigning pdfs to a time series leads to essentially constant scm values for any sampling period the significance of t m is further investigated by comparing it with typical times found in the literature for the two main reconstruction processes the takens one in a delay time embedding on one hand and the exact nyquist shannon reconstruction on the other one it is shown that t m is compatible with those times recommended as adequate delay ones in takens reconstruction the reported results correspond to three representative chaotic systems having correlation dimension 2 d 2 3 one recent experiment confirms the analysis presented here

the coupling analysis between stock market indices based on permutation measures abstract many information theoretic methods have been proposed for analyzing the coupling dependence between time series and it is significant to quantify the correlation relationship between financial sequences since the financial market is a complex evolved dynamic system recently we developed a new permutation based entropy called cross permutation entropy cpe to detect the coupling structures between two synchronous time series in this paper we extend the cpe method to weighted cross permutation entropy wcpe to address some of cpe s limitations mainly its inability to differentiate between distinct patterns of a certain motif and the sensitivity of patterns close to the noise floor it shows more stable and reliable results than cpe does when applied it to spiky data and ar 1 processes besides we adapt the cpe method to infer the complexity of short length time series by freely changing the time delay and test it with gaussian random series and random walks the modified method shows the advantages in reducing deviations of entropy estimation compared with the conventional one finally the weighted cross permutation entropy of eight important stock indices from the world financial markets is investigated and some useful and interesting empirical results are obtained

non linear vibrations of free edge thin spherical shells modal interaction rules and 1 1 2 internal resonance this paper is devoted to the derivation and the analysis of vibrations of shallow spherical shell subjected to large amplitude transverse displacement the analog for thin shallow shells of von karman s theory for large deflection of plates is used the validity range of the approximations is assessed by comparing the analytical modal analysis with a numerical solution the specific case of a free edge is considered the governing partial differential equations are expanded onto the natural modes of vibration of the shell the problem is replaced by an infinite set of coupled second order differential equations with quadratic and cubic non linear terms analytical expressions of the non linear coefficients are derived and a number of them are found to vanish as a consequence of the symmetry of revolution of the structure then for all the possible internal resonances a number of rules are deduced thus predicting the activation of the energy exchanges between the involved modes finally a specific mode coupling due to a 1 1 2 internal resonance between two companion modes and an axisymmetric mode is studied 2004 elsevier ltd all rights reserved

ambiguities in bandt pompe s methodology for local entropic quantifiers abstract the bandt pompe bp prescription for building up probability densities c bandt b pompe permutation entropy a natural complexity measure for time series phys rev lett 88 2002 174102 constituted a significant advance in the treatment of time series however as we show here ambiguities arise in applying the bp technique with reference to the permutation of ordinal patterns this happens if one wishes to employ the bp probability density to construct local entropic quantifiers that would characterize time series generated by nonlinear dynamical systems explicit evidence of this fact is presented by comparing two different procedures frequently found in the literature that generate sequences of ordinal patterns in opposition to the case of global quantifiers in the orthodox shannon fashion the proper order of the pertinent symbols turns out to be not uniquely predetermined for local entropic indicators we advance the idea of employing the fisher shannon information plane as a tool to resolve the ambiguity and give illustrative examples

evaluation of the status of rotary machines by time causal information theory quantifiers abstract in this paper several causal information theory quantifiers i e shannon entropy statistical complexity and fisher information using the bandt and pompe permutation probability distribution measure are applied to describe the behavior of a rotating machine an experiment was conducted where a rotating machine runs balanced and then after a misalignment runs unbalanced all the causal information theory quantifiers applied are capable to distinguish between both states and grasp the corresponding transition between them

monomer dimer problem on random planar honeycomb lattice we consider the monomer dimer md problem on a random planar honeycomb lattice model namely the random multiple chain this is a lattice system with non periodic boundary condition whose generating process is inspired by the growth of single walled zigzag carbon nanotubes by applying algebraic and combinatorial techniques we establish a calculating expression of the md partition function for bipartite graphs which corresponds to the permanent of a matrix further by using the transfer matrix argument we show that the computing problem of the permanent of high order matrix can be converted into some lower order matrices for this family of lattices based on which we derive an explicit recurrence formula for evaluating the md partition function of multiple chains and random multiple chains finally we analyze the expectation of the number of monomer dimer arrangements on a random multiple chain and the asymptotic behavior of the annealed md entropy when the multiple chain becomes infinite in width and length respectively

on sub and superadditive vector valued maps with applications to group majorization in this paper motivated by results in s s dragomir quasilinearity of some functionals associated with monotonic convex functions rgmia res rep coll 14 2011 artcle 24 13 pp and m niezgoda cone orderings group majorizations and similarly separable sequences linear algebra appl 436 3 2012 pp 579 594 we investigate maps involving quotient p p with an 1 subadditive operator and a positive superadditive functional we pay special attention to vector valued operators we study the subadditivity of the map p p f p p with 1 increasing convex f next we give applications for group majorization preorders we establish some preorder preservation results for the map p p p with a group majorization g and a combination 1 2 of preorders 1 and 2 in consequence we show that the function p f p p is g increasing

log majorization related to renyi divergences abstract for z 0 with 1 motivated by comparison between different kinds of renyi divergences in quantum information we consider log majorization between the matrix functions p a b b 1 2 b 1 2 a b 1 2 b 1 2 q z a b b 1 2 z a z b 1 2 z z of two positive semi definite matrices a b we precisely determine the parameters z for which p a b log q z a b and q z a b log p a b hold respectively

an extension of a result of hwang and pyo abstract in this paper we extend a majorization result of hwang and pyo laa 332 334 2001 pp 15 21 from the ordinary majorization ordering to the class of group induced cone orderings induced by non effective groups the case of effective groups is also investigated a particular attention is paid to positive operators

some majorization inequalities induced by schur products in euclidean jordan algebras abstract in a euclidean jordan algebra v of rank n an element x is said to be majorized by an element y symbolically x y if the corresponding eigenvalue vector x is majorized by y in r n in this article we describe pointwise majorization inequalities of the form t x s x where t and s are linear transformations induced by schur products specializing we recover analogs of majorization inequalities of schur hadamard and oppenheimer stated in the setting of euclidean jordan algebras as well as majorization inequalities connecting quadratic and lyapunov transformations on v we also show how schur products induced by certain scalar means such as arithmetic geometric harmonic and logarithmic means naturally lead to majorization inequalities

the non linear vibration and dynamic instability of thin shallow shells in this paper the non linear vibration and dynamic instability of thin shallow spherical and conical shells subjected to periodic transverse and in plane loads are investigated the marguerre type dynamic equations used for the analysis of shallow shells when treated by the galerkin method will result in a system of total differential equations in the time functions known as duffing and mathieu equations from which the various kinds of non linear vibration and dynamic instability are determined by using numerical methods numerical results are presented for axisymmetric vibrations and dynamic instabilities of shallow spherical and conical shells with a clamped and b supported edge conditions as numerical examples non linear vibration frequencies and instability regions for shells are determined the effects of static load as well as static snap through buckling on the instability are also investigated

linear maps preserving group majorization abstract a necessary and sufficient condition for a linear map to preserve group majorizations is given the condition is applied to prove some preservation results

ordinal analysis of time series abstract in order to develop fast and robust methods for extracting qualitative information from non linear time series bandt and pompe have proposed to consider time series from the pure ordinal viewpoint on the basis of counting ordinal patterns which describe the up and down in a time series they have introduced the concept of permutation entropy for quantifying the complexity of a system behind a time series the permutation entropy only provides one detail of the ordinal structure of a time series here we present a method for extracting the whole ordinal information

randomizing nonlinear maps via symbolic dynamics abstract pseudo random number generators prng have attracted intense attention due to their obvious importance for many branches of science and technology a randomizing technique is a procedure designed to improve the prng randomness degree according the specific requirements it is obviously important to quantify its effectiveness in order to classify randomizing techniques based on a symbolic dynamics approach we advance a novel physically motivated representation based on the statistical properties of chaotic systems recourse is made to a plane that has as coordinates i the shannon entropy and ii a form of the statistical complexity measure each statistical quantifier incorporates a different probability distribution function generating thus a representation that i sheds insight into just how each randomizing technique operates and also ii quantifies its effectiveness using the logistic map and the three way bernoulli map as typical examples of chaotic dynamics it is shown that our methodology allows for choosing the more convenient randomizing technique in each instance comparison with measures of complexity based on diagonal lines on the recurrence plots n marwan m c romano m thiel j kurths phys rep 438 2007 237 support the main conclusions of this paper

forbidden patterns permutation entropy and stock market inefficiency abstract in this paper we introduce two new quantifiers for the stock market inefficiency the number of forbidden patterns and the normalized permutation entropy they are model independent measures thus they have more general applicability we find robust evidence that degree of market inefficiency is positively correlated with the number of forbidden patterns and negatively correlated with the permutation entropy our empirical results suggest that these two physical tools are useful to discriminate the stage of stock market development and can be easily implemented

iterative analytical solution of nonlinear analysis of shallow spherical shell with computer algebra systems maplev abstract this paper is concerned with the application of computer algebra system maplev to the nonlinear analysis of shallow spherical shells in the present paper the nonlinear equations of the shell to the nonlinear problem could be solved by using cases method detailed high order iterative solution expressions and analytical results for the third iteration are given in cases forms the numerical results show that the solutions of this paper contain other cases where the solutions were the second iteration the effects of various inner radius parameters have been investigated in detail the results of the third iterative expressions are obtained firstly it has been shown that the adoption of cases method would be useful in nonlinear problems

laguerre samuelson type inequalities abstract we give a generalization of laguerre samuelson s inequality in the framework of group theory this extends a recent result of trenkler and puntanen g trenkler s puntanen a multivariate version of samuelson s inequality linear algebra appl 410 2005 143 149 some examples are given

g majorization with applications to matrix orderings abstract a vector x is said to g majorize a vector y if y lies in the convex hull of the orbit of x under a group g the present paper contains a straightforward account with two important statements equivalent to g majorization in certain cases for example when g is a finite reflection group one equivalent condition reduces to a finite set of linear inequalities representing a cone ordering in the fundamental region of the group the other condition is that every convex g invariant function of y is less than the same function of x upper and lower weak majorizations gw majorizations are introduced by combining g with a second ordering compatible with it the results are applied where possible to matrix orderings where a g b is g majorization when g is a subgroup of the orthogonal group o n acting by congruence i e g b qbq t with q the matrix representation for an element of o n when g is the symmetric group of permutation matrices this defines a new ordering and generalizes a proposition of kiefer in the design of experiments

application of cass to iterative solution of nonlinear analysis of shallow conical shell abstract this paper deals with the application of computer algebra systems cass maple v to the nonlinear analysis of shallow conical shells it is shown that the nonlinear equations of the shell to the nonlinear problem could be solved by using the cass method detailed high order iterative solution expressions and analytical results or the third iteration are given in cass forms the numerical results show that the solutions of this paper contain other cases when the solutions were the second order iteration the effects of various inner radius parameters have been investigated in detail the results of the third iterative expressions are obtained first it has been shown that the adoption of the cass method would be useful in nonlinear problems

inequalities for monotonic arrangements of eigenvalues abstract this article corrects clarifies and extends results in 5 on inequalities for sequence rearrangements and for eigenvalues the prototypes for these results are the inequalities of hardy littlewood and polya about monotonic rearrangements we examine some analogous results for eigenvalues of matrices and of their products

non linear free periodic vibrations of open cylindrical shallow shells this paper is concerned with the non linear free periodic vibrations of thin open cylindrical and shallow shells vibrating in the geometrically non linear regime a multi degree of freedom model with hierarchical basis functions is adopted and the principle of the virtual work is used to define the time domain equations of motion these equations are transformed into the frequency domain by the harmonic balance method and are finally solved by an arc length continuation method shells of different thicknesses and of different curvature radius are analysed and the variation of the non linear natural frequencies of these shells with the vibration amplitude are investigated in some detail the variation of the mode shapes with the vibration amplitude is demonstrated it is found that both softening and hardening spring effects occur and that the number of couplings between vibration modes is rather large in undamped shells

majorization doubly stochastic matrices and comparison of eigenvalues abstract 1 basic properties of majorization 2 isotone maps and algebraic operations 3 double sub and superstochasticity 4 doubly stochastic matrices 5 doubly stochastic matrices with minimum permanent 6 comparison of eigenvalues 7 doubly stochastic maps

chaotic behavior resulting in transient and steady state instabilities of pressure loaded shallow spherical shells abstract in this paper the axisymmetric dynamic behavior and snap through buckling of thin elastic shallow spherical shells under harmonic excitation is investigated based on marguerre kinematical assumptions the governing partial differential equations of motion for a pre loaded cap are presented in the form of a compatibility equation and a transverse motion equation the continuous model is reduced to a finite degree of freedom system using the galerkin method and a fourier bessel approach results show that pre loaded shells may exhibit co existing stable equilibrium states and that with the application of sufficiently large dynamic loads the structure escapes from the well corresponding to pre buckling configurations to another this escape load may be much lower than the corresponding quasi static buckling load indeed complex resonances can occur until the system snaps through often signalling the loss of stability as parameters are slowly varied steady state instabilities may occur these can include jumps to resonance subharmonic period doubling bifurcations cascades to chaos etc moreover a sudden pulse of excitation may lead to a transient failure of the system in this paper we examine how spherical caps under harmonic loading may be assessed in an engineering context with a view to design against steady state instabilities as well as the various modes of transient failure steady state and transient stability boundaries are presented in which special attention is devoted to the determination of the critical load conditions from this theoretical analysis dynamic buckling criteria can be properly established which may constitute a consistent and rational basis for design of these shell structures under harmonic loading

missing ordinal patterns in correlated noises abstract recent research aiming at the distinction between deterministic or stochastic behavior in observational time series has looked into the properties of the ordinal patterns c bandt b pompe phys rev lett 88 2002 174102 in particular new insight has been obtained considering the emergence of the so called forbidden ordinal patterns j m amigo s zambrano m a f sanjuan europhys lett 79 2007 50001 it was shown that deterministic one dimensional maps always have forbidden ordinal patterns in contrast with time series generated by an unconstrained stochastic process in which all the patterns appear with probability one techniques based on the comparison of this property in an observational time series and in white gaussian noise were implemented however the comparison with correlated stochastic processes was not considered in this paper we used the concept of missing ordinal patterns to study their decay rate as a function of the time series length in three stochastic processes with different degrees of correlation fractional brownian motion fractional gaussian noise and noises with f k power spectrum we show that the decay rate of missing ordinal patterns in these processes depend on their correlation structures we finally discuss the implications of the present results for the use of these properties as a tool for distinguishing deterministic from stochastic processes

some eigenvalue inequalities for positive semidefinite matrix power products abstract we study the eigenvalues of positive semidefinite matrix power products and obtain some inequalities most of which are in terms of majorization in particular for a b 0 0 we prove log 1 a b log 1 a b the result is a generalization of some work of marcus lieb thirring le couteur bushell and trustrum

gas liquid two phase flow structure in the multi scale weighted complexity entropy causality plane abstract the multi scale weighted complexity entropy causality plane ms wcecp is proposed for characterizing the physical structure of complex system firstly we use the method to investigate typical nonlinear time series compared with the multi scale complexity entropy causality plane ms cecp the ms wcecp can not only uncover the dynamic information loss of complex system with the increase of scale but also can characterize the complexity of nonlinear dynamic system in particular the algorithm of ms wcecp performs strong anti noise ability then we calculate the ms wcecp for the conductance fluctuating signals measured from vertical upward gas liquid two phase flow experiments in a small diameter pipe the results demonstrate that the ms wcecp is a useful approach for exploring the stability and complexity in gas liquid two phase flows

testing for structural breaks via ordinal pattern dependence abstractwe propose new concepts to analyze and model the dependence structure between two time series our methods rely exclusively on the order structure of the data points hence the methods are stable under monotone transformations of the time series and robust against small perturbations or measurement errors ordinal pattern dependence can be characterized by four parameters we propose estimators for these parameters and we calculate their asymptotic distributions furthermore we derive a test for structural breaks within the dependence structure all results are supplemented by simulation studies and empirical examples for three consecutive data points attaining different values there are six possibilities how their values can be ordered these possibilities are called ordinal patterns our first idea is simply to count the number of coincidences of patterns in both time series and to compare this with the expected number in the case of independence if we detect a lot of coincident patterns

the experimental signals analysis for bubbly oil in water flow using multi scale weighted permutation entropy abstract we firstly combine multi scale method ms and weighted permutation entropy wpe to analyze chaotic noisy and fractal time series and find that mswpe can distinguish different nonlinear time series and exhibit a better robustness in the presence of higher levels of noise a task that multi scale permutation entropy mspe fails to work we then apply mswpe to analyze the signals from vertical upward oil in water two phase flow experiments our results suggest that the change rate of mswpe enables to characterize the transition of flow patterns and multi scale weighted permutation entropy allows indicating the discrepancy of complexity of oil in water two phase flow

majorization and singular values iii abstract we obtain a majorization inequality which relates the singular values of a complex square matrix a and those of t a where t is a linear map the inequality takes a particularly simple form if t is positive the results generalize several known majorization inequalities for eigenvalues and singular values

cases of equality for certain inequalities involving a g doubly stochastic map abstract we study inner product inequalities for a g doubly stochastic map with respect to a group induced cone ordering we give necessary and sufficient conditions for the inequalities to become equalities a special condition is obtained if a birkhoff type theorem holds for a finite reflection group related to the ordering the conditions are applied to derive some classical and new results on equality cases for majorization inequalities connected with certain group actions

a note on the lyapunov equation some results on the sensitivity of the solution of the stable lyapunov equation are shown to follow easily from well known theorems of functional analysis

permutation invariant proper polyhedral cones and their lyapunov rank abstract the lyapunov rank of a proper cone k in a finite dimensional real hilbert space is defined as the dimension of the space of all lyapunov like transformations on k or equivalently the dimension of the lie algebra of the automorphism group of k this rank measures the number of linearly independent bilinear relations needed to express a complementarity system on k that arises for example from a linear program or a complementarity problem on the cone motivated by the problem of describing spectral proper cones where the complementarity system can be expressed as a square system that is where the lyapunov rank is greater than equal to the dimension of the ambient space we consider proper polyhedral cones in r n that are permutation invariant for such cones we show that the lyapunov rank is either 1 in which case the cone is irreducible or n in which case the cone is isomorphic to r n in the latter case we show that the corresponding spectral cone is isomorphic to a symmetric cone

on lattice property of group induced cone orderings abstract the problem of existence and uniqueness of greatest lower bound glb and least upper bound lub of a set in group induced cone gic ordering is discussed explicit formula for the glb is given the results are applied to obtain the best possible upper bound ingic ordering for values of linear and nonnegative linear maps

info quantifiers map characterization revisited abstract we highlight the potentiality of a special information theory it approach in order to unravel the intricacies of nonlinear dynamics the methodology being illustrated with reference to the logistic map a rather surprising dynamic feature plane topography map becomes available

majorization and relative concavity abstract in this paper some results established in h n shi refinement and generalization of a class of inequalities for symmetric functions math practice theory 29 4 1999 pp 81 84 are extended from the classical majorization preordering to group induced cone orderings to this end the notion of relative concavity introduced in c p niculescu f popovici the extension of majorization inequalities within the framework of relative convexity j inequal pure appl math 7 1 2005 article 27 is used in addition some ky fan s inequalities are discussed

parametric instability of doubly curved panels subjected to non uniform harmonic loading the parametric instability characteristics of doubly curved panels subjected to various in plane static and periodic compressive edge loadings including partial and concentrated edge loadings are studied using finite element analysis the first order shear deformation theory is used to model the doubly curved panels considering the effects of transverse shear deformation and rotary inertia the theory used is the extension of dynamic shear deformable theory according to the sander s first approximation for doubly curved shells which can be reduced to love s and donnell s theories by means of tracers the effects of static load factor aspect ratio radius to thickness ratio shallowness ratio boundary conditions and the load parameters on the principal instability regions of doubly curved panels are studied in detail using bolotin s method quantitative results are presented to show the effects of shell geometry and load parameters on the stability boundaries results for plates and cylindrical shells are also presented as special cases and are compared with those available in the literature

topological permutation entropy permutation entropy quantifies the diversity of possible ordering of the successively observed values a random or deterministic system can take just as shannon entropy quantifies the diversity of the values themselves when the observable or state variable has a natural order relation making permutation entropy possible to compute then the asymptotic rate of growth in permutation entropy with word length forms an alternative means of describing the intrinsic entropy rate of a source herein extending a previous result on metric entropy rate we show that the topological permutation entropy rate for expansive maps equals the conventional topological entropy rate familiar from symbolic dynamics this result is not limited to one dimensional maps

majorizations and inequalities in matrix theory abstract in matrix theory majorization plays a significant role for instance majorization relations among eigenvalues and singular values of matrices produce a lot of norm inequalities and even matrix inequalities this survey article is intended as a review of recent results in matrix theory related to majorization

on orthogonal projectors induced by compact groups and haar measures we study the difference of two orthogonal projectors induced by compact groups of linear operators acting on a vector space an upper bound for the difference is derived using the haar measures of the groups a particular attention is paid to finite groups some applications are given for complex matrices and unitarily invariant norms majorization inequalities of fan and hoffmann and of causey are rediscovered

non linear vibration characteristics of clamped laminated shallow shells abstract this paper examines non linear free vibration characteristics of first and second vibration modes of laminated shallow shells with rigidly clamped edges non linear equations of motion for the shells based on the first order shear deformation and classical shell theories are derived by means of hamilton s principle we apply galerkin s procedure to the equations of motion in which eigenvectors for first and second modes of linear vibration obtained by the ritz method are employed as trial functions then simultaneous non linear ordinary differential equations are derived in terms of amplitudes of the first and second vibration modes backbone curves for the first and second vibration modes are solved numerically by the gauss legendre integration method and the shooting method respectively the effects of lamination sequences and transverse shear deformation on the behavior are discussed it is also shown that the motion of the first vibration mode affects the response for the second vibration mode

causality and the entropy complexity plane robustness and missing ordinal patterns abstract we deal here with the issue of determinism versus randomness in time series one wishes to identify their relative weights in a given time series two different tools have been advanced in the literature to such effect namely i the causal entropy complexity plane o a rosso h a larrondo m t martin a plastino m a fuentes distinguishing noise from chaos phys rev lett 99 2007 154102 and ii the estimation of the decay rate of missing ordinal patterns j m amigo s zambrano m a f sanjuan true and false forbidden patterns in deterministic and random dynamics europhys lett 79 2007 50001 l c carpi p m saco o a rosso missing ordinal patterns in correlated noises physica a 389 2010 2020 2029 in this work we extend the use of these techniques to address the analysis of deterministic finite time series contaminated with additive noises of different degree of correlation the chaotic series studied here was via the logistic map r 4 to which we added correlated noise colored noise with f k power spectrum 0 k 2 of varying amplitudes in such a fashion important insights pertaining to the deterministic component of the original time series can be gained we find that in the entropy complexity plane this goal can be achieved without additional computations

the solution of van der waerden s problem for permanents in this paper a solution to van der waerden s problem is presented it is hoped that the solution of this problem will stimulate new and vigorous interest in the theory of permanents and related topics permanents are ideal objects of study having both practical applications and abstract mathematical problems problems involving permanents tend to be easily stated but only solvable using deep methods the theory of permanents as an independent branch of mathematics which has developed parallel to the theory of determinants is far from exhausted many difficult questions must still be resolved in particular the problem of calculation and estimation of permanents for specific classes of matrices is of prime importance the solution of van der waerden s problem makes use of the penetrating force of the method of mixed volumes from combinatorial analysis even hilbert noted that there were connections to be uncovered between the theory of mixed volumes and other areas of mathematics the method of mixed volumes is ideally suited to solving extremal problems and problems of uniqueness and obtaining deep new inequalities it is reasonable to assume that in the future the method of mixed volumes will stand with that of generating functions as one of the basic analytic tools of computational combinatorial analysis

extremal majorizing and anti majorizing matrices in this note we study the convex set of all real n x n matrices which either increase or decrease mi xednlnrss when applied to any monotonously ordered probability n vector and we compute a complete list of its extremals in both cases 0 i998 published by

hadamard products and golden thompson type inequalities abstract by using hadamard products we give some reasonable upper and lower bounds of golden thompson type for e h 1 h m where h i i 1 2 m are arbitrary hermitian matrices and is an arbitrary unitarily invariant norm

deterministic dynamics of neural activity during absence seizures in rats the study of brain electrical activities in terms of deterministic nonlinear dynamics has recently received much attention forbidden ordinal patterns fop is a recently proposed method to investigate the determinism of a dynamical system through the analysis of intrinsic ordinal properties of a nonstationary time series the advantages of this method in comparison to others include simplicity and low complexity in computation without further model assumptions in this paper the fop of the eeg series of genetic absence epilepsy rats from strasbourg was examined to demonstrate evidence of deterministic dynamics during epileptic states experiments showed that the number of fop of the eeg series grew significantly from an interictal to an ictal state via a preictal state these findings indicated that the deterministic dynamics of neural networks increased significantly in the transition from the interictal to the ictal states and also suggested that the fop measures of the eeg series could be considered as a predictor of absence seizures

on linear preservers of normal maps abstract we study group induced cone gic orderings generating normal maps examples of normal maps cover among others the eigenvalue map on the space of n n hermitian matrices as well as the singular value map on n n complex matrices in this paper given two linear spaces equipped with gic orderings induced by groups of orthogonal operators we investigate linear operators preserving normal maps of the orderings a characterization of the preservers is obtained in terms of the groups the result is applied to show that the normal structure of the spaces is preserved under the action of the operators in addition examples are given

efficiency characterization of a large neuronal network a causal information approach abstract when inhibitory neurons constitute about 40 of neurons they could have an important antinociceptive role as they would easily regulate the level of activity of other neurons we consider a simple network of cortical spiking neurons with axonal conduction delays and spike timing dependent plasticity representative of a cortical column or hypercolumn with a large proportion of inhibitory neurons each neuron fires following a hodgkin huxley like dynamics and it is interconnected randomly to other neurons the network dynamics is investigated estimating bandt and pompe probability distribution function associated to the interspike intervals and taking different degrees of interconnectivity across neurons more specifically we take into account the fine temporal structures of the complex neuronal signals not just by using the probability distributions associated to the interspike intervals but instead considering much more subtle measures accounting for their causal information the shannon permutation entropy fisher permutation information and permutation statistical complexity this allows us to investigate how the information of the system might saturate to a finite value as the degree of interconnectivity across neurons grows inferring the emergent dynamical properties of the system

fractional brownian motion fractional gaussian noise and tsallis permutation entropy abstract in this work we analyze two important stochastic processes the fractional brownian motion and fractional gaussian noise within the framework of the tsallis permutation entropy this entropic measure evaluated after using the bandt pompe method to extract the associated probability distribution is shown to be a powerful tool to characterize fractal stochastic processes it allows for a better discrimination of the processes than the shannon counterpart for appropriate ranges of values of the entropic index moreover we find the optimum value of this entropic index for the stochastic processes under study

notes on egoritsjev s proof of the van der waerden conjecture abstract a solution to the van der waerden conjecture on the minimum of the permanent of doubly stochastic matrices has recently been found by g p ergoritsjev in russian because of the wide interest in this conjecture it seems useful to make the solution more accessible professor van lint has kindly consented to have his notes including a direct proof of an inequality available in the literature only in a more general form published in this journal ed r a b

extracting features of gaussian self similar stochastic processes via the bandt pompe approach by recourse to appropriate information theory quantifiers normalized shannon entropy and martin plastino rosso intensive statistical complexity measure we revisit the characterization of gaussian self similar stochastic processes from a bandt pompe viewpoint we show that the ensuing approach exhibits considerable advantages with respect to other treatments in particular clear quantifiers gaps are found in the transition between the continuous processes and their associated noises

g majorization inequalities for linear maps abstract we give a unified approach to majorization inequalities for linear maps via g majorization preorderings a particular attention is paid to positive linear maps some classical and recently obtained inequalities are derived from the results

on the monotonicity of scalar curvature in classical and quantum information geometry we study the monotonicity under mixing of the scalar curvature for the geometries on the simplex of probability vectors from the results obtained and from numerical data we are led to some conjectures about quantum geometries and wigner yanase dyson information finally we show that this last conjecture implies the truth of the petz conjecture about the monotonicity of the scalar curvature of the bogoliubov kubo mori monotone metric

linear preservers of majorization on lp i abstract in this paper we use doubly stochastic operators to extend the notion of majorization on l p where i is assumed to be an infinite set and p 1 and then characterize the structure of all bounded linear maps on this space which preserve majorization we will see that the two cases p 1 and p 1 lead to different structures