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Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equationsJun 12 2012We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ($-1<\alpha<0$) or wave ($0<\alpha<1$) equation. A numerical solution is found by applying a piecewise-linear, discontinuous ... More

Time-stepping error bounds for fractional diffusion problems with non-smooth initial dataMay 09 2014We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that the method is first order accurate at the \$n\$th time level \$t_n\$, but ... More

FEM for time-fractional diffusion equations, novel optimal error analysesOct 18 2016A semidiscrete Galerkin finite element method applied to time-fractional diffusion equations with time-space dependent diffusivity on bounded convex spatial domains will be studied. The main focus is on achieving optimal error results with respect to ... More

Time-stepping discontinuous Galerkin methods for fractional diffusion problemsSep 24 2014Time-stepping $hp$-versions discontinuous Galerkin (DG) methods for the numerical solution of fractional subdiffusion problems of order $-\alpha$ with $-1<\alpha<0$ will be proposed and analyzed. Generic $hp$-version error estimates are derived after ... More

A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernelsJan 28 2013We study the numerical solution for Volerra integro-differential equations with smooth and non-smooth kernels. We use a $h$-version discontinuous Galerkin (DG) method and derive nodal error bounds that are explicit in the parameters of interest. In the ... More

Regularity theory for time-fractional advection-diffusion-reaction equationsFeb 03 2019We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our focus is ... More

A hybridizable discontinuous Galerkin method for fractional diffusion problemsSep 25 2014We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order $-\alpha$ with $-1<\alpha<0$. For exact time-marching, we derive optimal algebraic error estimates {assuming} that ... More

A priori estimates of a finite element method for fractional diffusion problems by energy argumentsMay 30 2016In this article, the Galerkin piecewise-linear finite element (FE) method is applied to approximate the solution of time-fractional diffusion equations with variable diffusivity on bounded convex domains. Standard energy arguments do not provide satisfactory ... More

Convergence and superconvergence analyses of HDG methods for time fractional diffusion problemsDec 05 2014We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order $0<\alpha<1$. For each time $t \in [0,T]$, the HDG approximations are taken to be piecewise ... More

A discontinuous Petrov-Galerkin method for time-fractional diffusion equationsSep 05 2014We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of time-fractional subdiffusion problems. We prove the existence, uniqueness ... More

Optimal error analysis of a FEM for fractional diffusion problems by energy argumentsMay 30 2016Nov 04 2018In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard energy arguments do not provide satisfactory results for such a problem ... More

A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial dataFeb 08 2019We present a new stability and convergence analysis for the spatial discretization of a time-fractional Fokker--Planck equation in a convex polyhedral domain, using continuous, piecewise-linear, finite elements. The forcing may depend on time as well ... More

Finite volume element method for two-dimensional fractional subdiffusion problemsOct 26 2015In this paper, a semi-discrete spatial finite volume (FV) method is proposed and analyzed for approximating solutions of anomalous subdiffusion equations involving a temporal fractional derivative of order $\alpha \in (0,1)$ in a two-dimensional convex ... More

Numerical solution of the time-fractional Fokker-Planck equation with general forcingJul 21 2015We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method. ... More

Next-to-next-to-leading order Skyrme interaction in nuclear matter: Nuclear bulk quantities at second order in perturbation theoryJul 20 2016We present the explicit form of the next-to-next-to-leading order (N$^2$LO) Skyrme interaction in momentum space by including the fourth-order gradient potentials to the standard Skyrme interaction. With the N$^2$LO Skyrme interaction, we evaluate the ... More

An inverse source problem for a two-parameter anomalous diffusion with local time datumApr 23 2016We determine the space-dependent source term for a two-parameter fractional diffusion problem subject to nonlocal non-self-adjoint boundary conditions and two local time-distinct datum. A bi-orthogonal pair of bases is used to construct a series representation ... More

Well-posedness of time-fractional, advection-diffusion-reaction equationsOct 11 2018Feb 05 2019We establish the well-posedness of an initial-boundary value problem for a general class of time-fractional, advection-diffusion-reaction equations, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. ... More

Les interprétations de la mécanique quantique : une vue d'ensemble introductiveSep 07 2015La m\'ecanique quantique est une th\'eorie physique contemporaine r\'eput\'ee pour ses d\'efis au sens commun et ses paradoxes. Depuis bient\^ot un si\`ecle, plusieurs interpr\'etations de la th\'eorie ont \'et\'e propos\'ees par les physiciens et les ... More

Dimensional regularization applied to nuclear matter with a zero--range interactionFeb 15 2012Jul 07 2012We apply the dimensional regularization procedure to treat an ultraviolet divergence occurring in the framework of the nuclear many-body problem. We consider the second--order correction (beyond the mean-field approximation) to the equation of state of ... More

Modelling the Incomplete Intermodal Terminal Location ProblemMar 03 2019Mar 09 2019In this paper, we introduce and study the incomplete version of the intermodal terminal location problem. It's a generalization of the classical version by relaxing the assumption that the induced graph by located terminals is complete. We propose a mixed ... More

Remarks on the formulation of the cosmological constant/dark energy problemsApr 19 2005Sep 25 2007Associated with the cosmic acceleration are the old and new cosmological constant problems, recently put into the more general context of the dark energy problem. In broad terms, the old problem is related to an unexpected order of magnitude of this component ... More

Notes sur l'indice des algèbres de Lie (I)May 18 2006Mar 30 2009This article contains: - Proofs of certain results recently obtained by D. Panyushev. - An addendum to the "inequality of Panyushev". - Calculations of indexes of certain contracted Lie algebras. - Examples of additivity of the index of Lie algebras. ... More

Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$Feb 27 2006It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on ${\mathbf{Z}}^d$ admits upper and lower Gaussian estimates.

Note sur les invariants du groupe affineJul 05 2007In the paper, it is proved that any $C^{1}$-function on GL(n) which is locally $P$-invariant (here $P$ is the affine (sub)group of GL(n)) is locally $G$-invairant. There is also a statement for distributions (a very weak form of Baruch's results).

Notes sur l'indice des algèbres de Lie (II)May 18 2006Mar 30 2009This text is a continuation to "Notes sur l'indice des alg\`ebres de Lie (I)", math.RT/0605499 ----- Ce texte est une suite \`a : "Notes sur l'indice des alg\`ebres de Lie (I)".

La propriété de Dixmier pour les algèbres de Lie de champs de vecteursNov 20 2009Given a linear representation $\rho : \mathfrak{g} \longrightarrow \mathfrak{g}\ell(V)$ of a Lie algebra $\mathfrak{g}$, one can define a linear representation $\rho_m : \mathfrak{g}_m \longrightarrow \mathfrak{g}\ell(V^m)$ of the generalized Takiff algebra ... More

Continuous Authentication for Voice AssistantsJan 17 2017Voice has become an increasingly popular User Interaction (UI) channel, mainly contributing to the ongoing trend of wearables, smart vehicles, and home automation systems. Voice assistants such as Siri, Google Now and Cortana, have become our everyday ... More

Testing quantum-like models of judgment for question order effectJan 19 2015Mar 07 2016Lately, so-called "quantum" models, based on parts of the mathematics of quantum mechanics, have been developed in decision theory and cognitive sciences to account for seemingly irrational or paradoxical human judgments. We consider here some such quantum-like ... More

A new Backdoor Attack in CNNs by training set corruption without label poisoningFeb 12 2019Backdoor attacks against CNNs represent a new threat against deep learning systems, due to the possibility of corrupting the training set so to induce an incorrect behaviour at test time. To avoid that the trainer recognises the presence of the corrupted ... More

Errors, chaos and the collisionless limitApr 18 2018Jan 02 2019We simultaneously study the dynamics of the growth of errors and the question of the faithfulness of simulations of $N$-body systems. The errors are quantified through the numerical reversibility of small-$N$ spherical systems, and by comparing fixed-timestep ... More

Quantum-like models cannot account for the conjunction fallacyOct 12 2015Jun 14 2016Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities---this is the conjunction fallacy. One of the most discussed accounts of this fallacy is currently ... More

Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graphJul 27 2016May 05 2017Terpai [22] proved the Nordhaus-Gaddum bound that $\mu(G) + \mu(\overline{G}) \le 4n/3 - 1$, where $\mu(G)$ is the spectral radius of a graph $G$ with $n$ vertices. Let $s^+$ denote the sum of the squares of the positive eigenvalues of $G$. We prove that ... More

Cyclic and heteroclinic flows near general static spherically symmetric black holes: Semi-cyclic flows -- Addendum and corrigendumMay 19 2016Jan 19 2017We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological horizons as well ... More

Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V termsNov 10 2014Mar 23 2015The early literature on black hole thermodynamics ignored the $P$-$V$ term associated with the existence of a fundamental physical constant in the black hole solution. The inclusion of this constant in the first law becomes inconsistent with the Smarr ... More

Geometrothermodynamics: Comments, critics, and supportsNov 27 2013Jun 02 2014We write explicitly the Euler identity and the Gibbs-Duhem relation for thermodynamic potentials that are not homogeneous first-order functions of their natural extensive variables. We apply the rules to the theory of geometrothermodynamics and show how ... More

Data Stream Clustering: Challenges and IssuesJun 28 2010Very large databases are required to store massive amounts of data that are continuously inserted and queried. Analyzing huge data sets and extracting valuable pattern in many applications are interesting for researchers. We can identify two main groups ... More

A minimal set of invariants as a systematic approach to higher order gravity modelsAug 07 2008Dec 28 2008Higher-order gravity models have been recently the subject of much attention in the context of cosmic acceleration. These models are derived by adding various curvature invariants to the Einstein-Hilbert action. Several studies showed that these models ... More

Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular OscillatorApr 22 2002The geometrical phase of a time-dependent singular oscillator is obtained in the framework of Gaussian wave packet. It is shown by a simple geometrical approach that the geometrical phase is connected to the classical nonadiabatic Hannay angle of the ... More

Numerical solutions to the cosmological 3-fluid problemFeb 27 2013Sep 24 2013We show that, for the scalar field cosmology with exponential potential, the set of values of the coupling parameter for which the solutions undergo a transient period of acceleration is much larger than the set discussed in the literature. The gradual ... More

Quadratic superconducting cosmic strings revisitedFeb 22 2008It has been shown that 5-dimensional general relativity action extended by appropriate quadratic terms admits a singular superconducting cosmic string solution. We search for cosmic strings endowed with similar and extended physical properties by directly ... More

Stability of Transparent Spherically Symmetric Thin Shells and WormholesAug 24 2001Dec 11 2001The stability of transparent spherically symmetric thin shells (and wormholes) to linearized spherically symmetric perturbations about static equilibrium is examined. This work generalizes and systematizes previous studies and explores the consequences ... More

Instability of two-dimensional heterotic stringy black holesFeb 01 1999We solve the eigenvalue problem of general relativity for the case of charged black holes in two-dimensional heterotic string theory, derived by McGuigan et al. For the case of $m^{2}>q^{2}$, we find a physically acceptable time-dependent growing mode; ... More

Solutions Stationnaires en Théorie de Kaluza-KleinNov 06 1995Dec 21 1995Kaluza-Klein theory is a 5-dimensional Einstein general relativity; it has the interest of describing on an equal footing the laws of gravitation and electromagnetism in a geometrically unified way. We present it in Chapter 1, and we generalize it by ... More

Cosmological discordances: a new measure, marginalization effects, and application to geometry vs growth current data setsMay 15 2017Aug 29 2017The continuous progress toward more precise cosmological surveys and experiments has galvanized recent interest into consistency tests on cosmological parameters and models. At the heart of this effort is quantifying the degree of inconsistency between ... More

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravityApr 04 2016The scenario consistent with a wealth of observations for the missing mass problem is that of weakly interacting dark matter particles. However, arguments or proposals for a Newtonian or relativistic modified gravity scenario continue to be made. A distinguishing ... More

Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graphJul 27 2016Terpai [22] proved the Nordhaus-Gaddum bound that $\mu(G) + \mu(\overline{G}) \le 4n/3 - 1$, where $\mu(G)$ is the spectral radius of a graph $G$ with $n$ vertices. Let $s^+$ denote the sum of the squares of the positive eigenvalues of $G$. We prove that ... More

Some Inequalities involving Heron and Heinz Means of two Convex FunctionalsSep 06 2018Dec 19 2018In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are immediately deduced. ... More

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravityApr 04 2016Nov 18 2016The scenario consistent with a wealth of observations for the missing mass problem is that of weakly interacting dark matter particles. However, arguments or proposals for a Newtonian or relativistic modified gravity scenario continue to be made. A distinguishing ... More

Testing gravity theories using tensor perturbationsMay 11 2016Primordial gravitational waves constitute a promising probe of the very-early universe and the laws of gravity. We study changes to tensor mode perturbations that can arise in various proposed modified gravity (MG) theories. These include additional friction ... More

Expansion and Growth of Structure Observables in a Macroscopic Gravity Averaged UniverseMar 19 2015We investigate the effect of averaging inhomogeneities on expansion and large-scale structure growth observables using the exact and covariant framework of Macroscopic Gravity (MG). It is well-known that applying the Einstein's equations and spatial averaging ... More

Cosmological discordances II: Hubble constant, Planck and large-scale-structure data setsAug 31 2017Oct 31 2017We examine systematically the (in)consistency between cosmological constraints as obtained from various current data sets of the expansion history, Large Scale Structure (LSS), and Cosmic Microwave Background (CMB) from Planck. We run (dis)concordance ... More

Lattice gas model in random medium and open boundaries: hydrodynamic and relaxation to the steady stateNov 13 2008Dec 21 2008We consider a lattice gas interacting by the exclusion rule in the presence of a random field given by i.i.d. bounded random variables in a bounded domain in contact with particles reservoir at different densities. We show, in dimensions $d \ge 3$, that ... More

Functional Version for Furuta Parametric Relative Operator EntropyMar 29 2018Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functional approach immediately imply those of operator ... More

Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field modelsApr 06 2012In a quantum Fermi system the energy per particle calculated at the second order beyond the mean-field approximation diverges if a zero-range interaction is employed. We have previously analyzed this problem in symmetric nuclear matter by using a simplified ... More

Testing gravity theories using tensor perturbationsMay 11 2016Dec 27 2016Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG) theories. These ... More

Nuclear structure investigation of even-even and odd Pb isotopes by using the Hartree-Fock-Bogoliubov methodJan 06 2018The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the neutron-rich ... More

New SU(1, 1) Position-Dependent Effective Mass Coherent States for the Generalized Shifted Harmonic OscillatorJun 02 2013A new SU(1, 1) position-dependent effective mass coherent states (PDEM CS) related to the shifted harmonic oscillator (SHO) are deduced. This is accomplished by applying a similarity transformation to the generally deformed oscillator algebra (GDOA) generators ... More

Kaluza-Klein and Gauss-Bonnet cosmic stringsMar 29 1996We make a systematic investigation of stationary cylindrically symmetric solutions to the five-dimensional Einstein and Einstein-Gauss-Bonnet equations. Apart from the five-dimensional neutral cosmic string metric, we find two new exact solutions which ... More

Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall LawsNov 25 2010We consider a new way of establishing Navier wall laws. Considering a bounded domain $\Omega$ of R N , N=2,3, surrounded by a thin layer $\Sigma \epsilon$, along a part $\Gamma$2 of its boundary $\partial \Omega$, we consider a Navier-Stokes flow in $\Omega ... More

SIR epidemics on evolving graphsJan 19 2019We consider evoSIR, a variant of the SIR model, on Erd\H os-Renyi random graphs in which susceptibles with an infected neighbor break that connection at rate $\rho$ and rewire to a randomly chosen individual. We compute the critical infection rate $\lambda_c$ ... More

Signal injection and averaging for position estimation of Permanent-Magnet Synchronous MotorsMar 26 2012Sensorless control of Permanent-Magnet Synchronous Motors at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and magnetic-saturation induced. ... More

Optimum Fusion of Possibly Corrupted Reports for Distributed Detection in Multi-Sensor NetworksMar 19 2015The most common approach to mitigate the impact that the presence of malicious nodes has on the accuracy of decision fusion schemes consists in observing the behavior of the nodes over a time interval T and then removing the reports of suspect nodes from ... More

Revival structures of coherent states for Xm exceptional orthogonal polynomials of the Scarf I potential within position-dependent effective massJan 15 2017The revival structures for the X_m exceptional orthogonal polynomials of the Scarf I potential endowed with position-dependent effective mass is studied in the context of the generalized Gazeau-Klauder coherent states. It is shown that in the case of ... More

Pseudo-radial solutions of semi-linear elliptic equations on symmetric domainsJun 07 2008In this paper we investigate existence and characterization of non-radial pseudo-radial (or separable) solutions of some semi-linear elliptic equations on symmetric 2-dimensional domains. The problem reduces to the phase plane analysis of a dynamical ... More

Spectral theory and time asymptotics of size-structured two-phase population modelsFeb 08 2019This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of finite maximal size. We characterize the irreducibility of the corresponding ... More

Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2Feb 18 2017Jun 29 2017The magnetization process of single crystals of the metallic kagom\'e ferromagnet Co3Sn2S2 was carefully measured via magnetization and AC susceptibility. Field-dependent anomalous transitions in the magnetization indicate a low-field unconventionally ... More

Averaged universe confronted to cosmological observations: a fully covariant approachApr 12 2016One of the outstanding problems in general relativistic cosmology is that of the averaging. That is, how the lumpy universe that we observe at small scales averages out to a smooth Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The root of the problem ... More

Axiomatization of an importance index for $k$-ary gamesApr 07 2017We consider MultiCriteria Decision Analysis models which are defined over discrete attributes, taking a finite number of values. We do not assume that the model is monotonically increasing with respect to the attributes values. Our aim is to define an ... More

Metastability of the two-dimentional Blume-Capel model with zero chemical potential and small magnetic field on a large torusJun 20 2018We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increaseswith the inverse of the temeprature. We prove the mestastable behavior and that starting from a configuration with ... More

Consumption Factor Optimization for Multihop Relaying over Nakagami-m Fading channelsNov 19 2014In this paper, the energy efficiency of multihop relaying over Nakagami-$m$ fading channels is investigated. The "consumption factor" is used as a metric to evaluate the energy efficiency, and it is derived in closed-form for both amplify-and-forward ... More

Figures of merit and constraints from testing General Relativity using the latest cosmological data sets including refined COSMOS 3D weak lensingMar 07 2011Dec 27 2011We use cosmological constraints from current data sets and a figure of merit (FoM) approach to probe any deviations from general relativity (GR) at cosmological scales. The FoM approach is used to study the constraining power of various combinations of ... More

Optical phase extraction algorithm based on the continuous wavelet and the Hilbert transformsMay 21 2010In this paper we present an algorithm for optical phase evaluation based on the wavelet transform technique. The main advantage of this method is that it requires only one fringe pattern. This algorithm is based on the use of a second {\pi}/2 phase shifted ... More

Adaptation of TURN protocol to SIP protocolFeb 05 2010Today, SIP is a protocol par Excellence in the field of communication over Internet. But, the fact that it belongs to the application layer constitutes a weakness vis-a-vis the NAT traversal. This weakness is due to the way in which the server replies ... More

Growth factor parametrization in curved spaceMar 02 2009Jul 01 2009The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining cosmic acceleration. We explore here the inclusion of spatial curvature into the growth factor. ... More

Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributionsMar 28 2017Mar 17 2018We consider continuous-time Markov chains which display a family of wells at the same depth. We provide sufficient conditions which entail the convergence of the finite-dimensional distributions of the order parameter to the ones of a finite state Markov ... More

Invariant density & time asymptotics for collisionless kinetic equations with partly diffuse boundary operatorsDec 13 2018This paper deals with collisionless transport equations in bounded open domains $\Omega \subset \R^{d}$ $(d\geq 2)$ with $\mathcal{C}^{1}$ boundary $\partial \Omega $, orthogonally invariant velocity measure $\bm{m}(\d v)$ with support $V\subset \R^{d}$ ... More

Outage Probability of Diversity Combining Receivers in Arbitrarily Fading ChannelsMay 22 2011We propose a simple and accurate method to evaluate the outage probability at the output of arbitrarily fading L-branch diversity combining receiver. The method is based on the saddlepoint approximation, which only requires the knowledge of the moment ... More

A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditionsJan 26 2007In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condition. We give local existence result and prove global existence for small initial data. A natural non increasing in time energy is associated to this equation. ... More

Dynamical large deviations for the boundary driven weakly asymmetric exclusion processApr 15 2008Dec 14 2009We consider the weakly asymmetric exclusion process on a bounded interval with particle reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in the diffusive scaling, is given by the viscous Burgers equation with Dirichlet ... More

Free monoids and generalized metric spacesMay 27 2017Let $A$ be an ordered alphabet, $A^{\ast}$ be the free monoid over $A$ ordered by the Higman ordering, and let $F(A^{\ast})$ be the set of final segments of $A^{\ast}$. With the operation of concatenation, this set is a monoid. We show that the submonoid ... More

An interaction index for multichoice gamesMar 20 2018Models in Multicriteria Decision Analysis (MCDA) can be analyzed by means of an importance index and an interaction index for every group of criteria. We consider first discrete models in MCDA, without further restriction, which amounts to considering ... More

Helgason Gabor Fourier transform and uncertainty principlesDec 06 2018Windowing a Fourier transform is a useful tool, which gives us the similarity between the signal and time frequency signal, and it allows to get sense when/where ceratin frequencies occur in the input signal, this method is introduced by Dennis Gabor. ... More

Greatest least eigenvalue of the Laplacian on the Klein bottleJun 29 2005We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $\mathbb{K}$ one has $$\lambda\_1 (\mathbb{K}, g) A (\mathbb{K}, g)\le 12 \pi E(2\sqrt 2/3),$$ ... More

An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic fieldOct 11 2010Oct 14 2010A general treatment of the quantal time-dependent coupled oscillators in presence of the variable magnetic field is presented. The treatment is based on the use of an alternative canonical transformations, time-dependent unitary transformations and the ... More

A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volumeOct 02 2015We consider a two species process which evolves in an infinite domain in contact with particles reservoirs at different densities,according to the superposition of a generalised contact process and a rapid-stirring dynamics in the bulk of the domain, ... More

Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusionMar 31 2009We prove hydrostatics of boundary driven gradient exclusion processes, Fick's law and we present a simple proof of the dynamical large deviations principle which holds in any dimension

A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottleJan 26 2007We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: on the Klein bottle $\mathbb{K}$, the metric of revolution $$g_0= {9+ (1+8\cos ^2v)^2\over 1+8\cos ^2v} (du^2 + {dv^2\over 1+8\cos ^2v}),$$ $0\le ... More

Self-calibration method for II and GI types of intrinsic alignments of galaxiesSep 19 2018We introduce a self-calibration method that can be applied to the intrinsic ellipticity--intrinsic ellipticity (II) and gravitational shear -- intrinsic ellipticity (GI) types of intrinsic alignment of galaxies. The method combines previous self-calibration ... More

Time-dependent coupled oscillator model for charged particle motion in the presence of a time varyingmagnetic fieldOct 11 2010The dynamics of time-dependent coupled oscillator model for the charged particle motion subjected to a time-dependent external magnetic field is investigated. We used canonical transformation approach for the classical treatment of the system, whereas ... More

Unification of the phonon mode behaviour in semiconductor alloys: Theory and ab initio calculationsSep 06 2007Feb 06 2008We demonstrate how to overcome serious problems in understanding and classification of vibration spectra in semiconductor alloys, following from traditional use of the virtual crystal approximation (VCA). We show that such different systems as InGaAs ... More

Adding virtual measurements by signal injectionOct 01 2015Mar 19 2016We propose a method to "create" a new measurement output by exciting the system with a high-frequency oscillation. This new "virtual" measurement may be useful to facilitate the design of a suitable control law. The approach is especially interesting ... More

The Contact Process on Periodic TreesAug 06 2018Jan 18 2019A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that the critical values $\lambda_1$ and $\lambda_2$ for global and local survival were different. Here, we will consider the case of trees in which the ... More

Polisis: Automated Analysis and Presentation of Privacy Policies Using Deep LearningFeb 07 2018Privacy policies are the primary channel through which companies inform users about their data collection and sharing practices. In their current form, policies remain long and difficult to comprehend, thus merely serving the goal of legally protecting ... More

Performance Analysis of M-QAM Multihop Relaying over mmWave Weibull Fading ChannelsOct 26 2016The paper presents a comprehensive closed-form performance analysis framework of multihop cooperative communications as promising schemes in the next generation mmwave systems. As fading channel model, we adopt the advocated Weibull channel for its flexible ... More

Bifurcation structure of cavity soliton dynamics in a VCSEL with saturable absorber and time-delayed feedbackMay 05 2017We consider a wide-aperture surface-emitting laser with a saturable absorber section subjected to time-delayed feedback. We adopt the mean-field approach assuming a single longitudinal mode operation of the solitary VCSEL. We investigate cavity soliton ... More

Low rank approximate solutions to large-scale differential matrix Riccati equationsDec 01 2016Apr 11 2017In the present paper, we consider large-scale continuous-time differential matrix Riccati equations having low rank right-hand sides. These equations are generally solved by Backward Differentiation Formula (BDF) or Rosenbrock methods leading to a large ... More

Quenched large deviations for Glauber evolution with Kac interaction and Random FieldMay 31 2011May 07 2012We study a spin-flip model with Kac type interaction, in the presence of a random field given by i.i.d. bounded random variables. The system, spatially inhomogeneous, evolves according to a non conservative (Glauber) dynamics. We show an almost sure (with ... More

Splitting method for spatio-temporal search efforts planningMay 17 2011Feb 23 2017This article deals with the spatio-temporal sensors deployment in order to maximize detection probability of an intelligent and randomly moving target in an area under surveillance. Our work is based on the rare events simulation framework. More precisely, ... More

Notes sur la notion d'invariant caractéristiqueJul 05 2007Let $G$ be a Lie group acting on a vector space $V$. Given a set of $G$-invariants, one can ask the question : does this set of invariants characterize the group $G$ ? We recall here some known results, ask questions and state some conjectures for different ... More

On Multihop Weibull-Fading Communications: Performance Analysis Framework and ApplicationsOct 26 2016Feb 20 2018The paper presents a comprehensive closed-form performance analysis framework for multihop communications over Weibull fading channels. The analyzed scheme consists basically of multiple regenerative relays with generalized high-order quadrature amplitude ... More