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Effects of high vs moderate-intensity training on neuroplasticity and functional recovery after focal ischemiaFeb 08 2018Background and Purpose: This study was designed to compare the effects of high-intensity interval training (HIT) and moderate-intensity continuous training (MOD) on functional recovery and cerebral plasticity during the first 2 weeks following cerebral ... More

On Algorithms Based on Joint Estimation of Currents and Contrast in Microwave TomographyJan 29 2009This paper deals with improvements to the contrast source inversion method which is widely used in microwave tomography. First, the method is reviewed and weaknesses of both the criterion form and the optimization strategy are underlined. Then, two new ... More

Reaching Fleming's dicrimination boundApr 13 2012Any rule for identifying a quantum system's state within a set of two non-orthogonal pure states by a single measurement is flawed. It has a non-zero probability of either yielding the wrong result or leaving the query undecided. This also holds if the ... More

Optimized geometries for future generation optical lattice clocksJun 30 2015Sep 28 2015Atoms deeply trapped in magic wavelength optical lattices provide a Doppler- and collision-free dense ensemble of quantum emitters ideal for high precision spectroscopy. Thus, they are the basis of some of the best optical clock setups to date. However, ... More

Protected state enhanced quantum metrology with interacting two-level ensemblesJul 09 2013Ramsey interferometry is routinely used in quantum metrology for the most sensitive measurements of optical clock frequencies. Spontaneous decay to the electromagnetic vacuum ultimately limits the interrogation time and thus sets a lower bound to the ... More

Roots, symmetries and conjugacy of pseudo-Anosov mapping classesOct 10 2007An algorithm is proposed that solves two decision problems for pseudo-Anosov elements in the mapping class group of a surface with at least one marked fixed point. The first problem is the root problem: decide if the element is a power and in this case ... More

QuantumOptics.jl: A Julia framework for simulating open quantum systemsJul 04 2017Mar 12 2018We present an open source computational framework geared towards the efficient numerical investigation of open quantum systems written in the Julia programming language. Built exclusively in Julia and based on standard quantum optics notation, the toolbox ... More

Correlation function of the 8-vertex model with free boundary conditions using triangular probabilistic cellular automataJul 18 2016This paper is devoted to the 8-vertex model and its edge correlation function. In some particular (integrable) cases, we find a closed form of the edge correlation function and we deduce also its asymptotic. To do this, we introduce probabilistic cellular ... More

Implementation of the direct evaluation of strains using a phase analysis code for random patternsSep 09 2011A new approach for decoding directly strains from surfaces encoded with random patterns has been developed and validated. It is based on phase analysis of small region of interest. Here we adapt to random patterns new concepts proposed by Badulescu (2009) ... More

Un résultat de connexité pour les variétés analytiques p-adiques. Privilège et noethérianitéNov 28 2006Sep 16 2008Let $k$ be a non-Archimedean field, $X$ a $k$-affinoid space and $f$ an analytic function over $X$. We precisely describe how the geometric connected components of the spaces $\{x \in X, |f(x)| \ge \varepsilon\}$ behave with regards to $\varepsilon$. ... More

Sur les composantes connexes d'une famille d'espaces analytiques p-adiquesJan 10 2014Let $X=\mathcal{M}(A)$ be an affinoid space and let $f,g \in A$. We study the sets of connected components of the spaces defined by an inequality of the form $|f|\le r|g|$, with $r\ge 0$. We prove that there exists a finite partition of $\mathbb{R}_+$ ... More

Polynomial approximation of Berkovich spaces and definable typesApr 16 2012We investigate affine Berkovich spaces over maximally complete fields and prove that they may be approximated by simpler spaces when the only functions we need to evaluate are polynomials of bounded degree. We derive applications to semi-algebraic sets ... More

Infinite sequence of fixed point free pseudo-Anosov homeomorphismsJun 25 2008Aug 24 2009We construct infinite sequences of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of abelian differentials. The existence ... More

General limit value in Dynamic ProgrammingJan 03 2013We consider a dynamic programming problem with arbitrary state space and bounded rewards. Is it possible to define in an unique way a limit value for the problem, where the "patience" of the decision-maker tends to infinity ? We consider, for each evaluation ... More

Recurrence rates for observations of flowsJan 27 2011We study Poincar\'e recurrence for flows and observations of flows. For Anosov flow, we prove that the recurrence rates are linked to the local dimension of the invariant measure. More generally, we give for the recurrence rates for the observation an ... More

Almost sure convergence of randomly truncated stochastic algorithms under verifiable conditionsJun 06 2007We study the almost sure convergence of randomly truncated stochastic algorithms. We present a new convergence theorem which extends the already known results by making vanish the classical condition on the noise terms. The aim of this work is to prove ... More

The IDSA and the homogeneous sphere: Issues and possible improvementsJun 13 2016In this paper, we are concerned with the study of the Isotropic Diffusion Source Approximation (IDSA) (Baxter et al., Phys. Rev. E 73, 046118, 2006) of radiative transfer. After having recalled well-known limits of the radiative transfer equation, we ... More

Continuous time limits of the Utterance Selection ModelJun 27 2016In this paper, we derive new continuous time limits of the Utterance Selection Model (USM) for language change (Baxter et al., Phys. Rev. E {\bf 73}, 046118, 2006). This is motivated by the fact that the Fokker-Planck continuous time limit derived in ... More

Variational Formulation of Time-Dependent Density Functional TheoryOct 25 2012We present a variational formulation of Time-Dependent Density Functional Theory similar to the constrained-search variational formulation of ground-state density-function theory. The formulation is applied to justify the time-dependent Kohn-Sham method. ... More

Parametrizing modified gravity for cosmological surveysMay 12 2017One of the challenges in testing gravity with cosmology is the vast freedom opened when extending General Relativity. For linear perturbations, one solution consists in using the Effective Field Theory of Dark Energy (EFT of DE). Even then, the theory ... More

Les espaces de Berkovich sont angéliquesMay 02 2011Dec 14 2012Although Berkovich spaces may fail to be metrizable when defined over too big a field, we prove that a large part of their topology can be recovered through sequences: for instance, limit points of subsets are actual limits of sequences and compact subsets ... More

Edge correlation function of the 8-vertex model when $a+c = b+d$Jul 18 2016Feb 07 2017This paper is devoted to the 8-vertex model and its edge correlation function. In some particular (integrable) cases, we find a closed form of the edge correlation function and we deduce also its asymptotic. In addition, we quantify influence of boundary ... More

Estimating copula measure using ranks and subsampling: a simulation studySep 25 2007We describe here a new method to estimate copula measure. From N observations of two variables X and Y, we draw a huge number m of subsamples (size n<N), and we compute the joint ranks in these subsamples. Then, for each bivariate rank (p,q) (0<p,q<n+1), ... More

La droite de Berkovich sur ZSep 17 2008We study here the Berkovich line over the ring of integers of a number field. It is a natural object which contains complex and non-Archimedean analytic spaces associated to each place. We prove that this line satisfies good topological and algebraic ... More

Existence d'une courbe à courbure positive maximisant le minimum du rayon de courbure -- "Observation numérique"Jun 19 2019We consider the set E of curves with positive algebraic curvature, whose extremities and tangents in their extremities are given. For each of the curves of E, we define the minimum of the radius of curvature. We first prove that there exists a curve of ... More

Volume entropy for surface groups via Bowen-Series like mapsAug 25 2009We define a Bowen-Series like map for every geometric presentation of a co-compact surface group and we prove that the volume entropy of the presentation is the topological entropy of this particular (circle) map. Finally we find the minimal volume entropy ... More

Pricing American options using martingale basesApr 12 2016In this work, we propose an algorithm to price American options by directly solving the dual minimization problem introduced by Rogers. Our approach relies on approximating the set of uniformly square integrable martingales by a finite dimensional Wiener ... More

A note on Liouville type results for a fractional obstacle problemFeb 28 2019This note is a synthesis of my reflexions on some questions that have emerged during the MATRIX event "Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type" concerning the qualitative properties of solutions to some non local reaction-diffusion ... More

Particle motion driven by non-uniform thermodynamic forcesFeb 13 2019We present a complete reciprocal description of particle motion inside multi-component fluids that extends the conventional Onsager formulation of non-equilibrium transport to systems where the thermodynamic forces are locally non-uniform on the colloidal ... More

Non abelian twisted Reidemeister torsion for fibered knotsMar 18 2004Feb 11 2005In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reidemeister torsion of the exterior of a fibered knot in terms of its monodromy. As an application, we give explicit formulae for the non abelian Reidemeister ... More

Pricing path-dependent Bermudan options using Wiener chaos expansion: an embarrassingly parallel approachJan 17 2019In this work, we propose a new policy iteration algorithm for pricing Bermudan options when the payoff process cannot be written as a function of a lifted Markov process. Our approach is based on a modification of the well-known Longstaff Schwartz algorithm, ... More

Analytic p-adic Banach spaces and the fundamental lemma of Colmez and FontaineOct 31 2016This article gives a new proof of the fundamental lemma of the "weakly admissible implies admissible" theorem of Colmez-Fontaine that describes the semi-stable p-adic representations. To this end, we introduce the category of spectral Banach spaces, which ... More

Espaces de Berkovich sur Z : étude localeFeb 03 2012Oct 15 2012We investigate the local properties of Berkovich spaces over Z. Using Weierstrass theorems, we prove that the local rings of those spaces are noetherian, regular in the case of affine spaces and excellent. We also show that the structure sheaf is coherent. ... More

Raccord sur les espaces de BerkovichSep 22 2008Oct 26 2009Let $X$ be a Berkovich space over a valued field. We prove that every finite group is a Galois group over $\Ms(B)(T)$, where $\Ms(B)$ is the field of meromorphic functions over a part $B$ of $X$ satisfying some conditions. This gives a new geometric proof ... More

Sendov conjecture for high degree polynomialsJun 21 2011Nov 15 2011Sendov conjecture tells that if $P$ denotes a complex polynomial having all his zeros in the closed unit disk and $a$ denote a zero of $P$, the closed disk of center $a$ and radius 1 contains a zero of the derivative $P'$. The main result of this paper ... More

Impact of an off-centred dipole on neutron star binariesJul 17 2019Neutron stars are strongly magnetized rotating compact objects. Therefore they also produce huge electric fields accelerating particles to ultra-relativistic energies. The simplest magnetic topology is a dipole traditionally located at the stellar centre. ... More

Polcovar: Software for Computing the Mean and Variance of Subgraph Counts in Random GraphsFeb 24 2014May 04 2016The mean and variance of the number of appearances of a given subgraph $H$ in an Erd\H{o}s--R\'enyi random graph over $n$ nodes are rational polynomials in $n$. We present a piece of software named Polcovar (from "polynomial" and "covariance") that computes ... More

DESP-C++: A Discrete-Event Simulation Package for C++Nov 28 2016DESP-C++ is a C++ discrete-event random simulation engine that has been designed to be fast, very easy to use and expand, and valid. DESP-C++ is based on the resource view. Its complete architecture is presented in detail, as well as a short " user manual ... More

Prescription of Gauss curvature using optimal mass transportMay 18 2015In this paper we give a new proof of a theorem by Alexandrov on the Gauss curvature prescription of Euclidean convex sets. This proof is based on the duality theory of convex sets and on optimal mass transport. A noteworthy property of this proof is that ... More

The value of Repeated Games with an informed controllerMar 23 2008Apr 20 2009We consider the general model of zero-sum repeated games (or stochastic games with signals), and assume that one of the players is fully informed and controls the transitions of the state variable. We prove the existence of the uniform value, generalizing ... More

Uniform value in Dynamic ProgrammingMar 19 2008Apr 20 2009We consider dynamic programming problems with a large time horizon, and give sufficient conditions for the existence of the uniform value. As a consequence, we obtain an existence result when the state space is precompact, payoffs are uniformly continuous ... More

Taming the Penguin in the B0(t) -> Pi+Pi- CP-asymmetry: Observables and Minimal Theoretical InputJun 24 1998Oct 29 1998Penguin contributions, being not negligible in general, can hide the information on the CKM angle alpha coming from the measurement of the time-dependent B0(t) -> pi+pi- CP-asymmetry. Nevertheless, we show that this information can be summarized in a ... More

The illusion of neutron star magnetic field estimatesMar 04 2019Neutron stars radiate in a broad band spectrum from radio wavelengths up to very high energies. They have been sorted into several classes depending on their respective place in the $P-\dot{P}$ diagram and depending on spectral/temporal properties. Fundamental ... More

Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groupsMar 26 2004Apr 18 2005For a knot K in $S^3$ and a regular representation $\rho$ of its group $G_K$ into SU(2) we construct a non abelian Reidemeister torsion on the first twisted cohomology group of the knot exterior. This non abelian Reidemeister torsion provides a volume ... More

Proceedings Sixteenth Conference on Theoretical Aspects of Rationality and KnowledgeJul 25 2017This volume consists of papers presented at the Sixteenth Conference on Theoretical Aspects of Rationality and Knowledge (TARK) held at the University of Liverpool, UK, from July 24 to 26, 2017. TARK conferences bring together researchers from a wide ... More

A tutorial on Zero-sum Stochastic GamesMay 16 2019Zero-sum stochastic games generalize the notion of Markov Decision Processes (i.e. controlled Markov chains, or stochastic dynamic programming) to the 2-player competitive case : two players jointly control the evolution of a state variable, and have ... More

Slope filtration on Banach-Colmez spacesOct 31 2016We give a new proof of the "weakly admissible implies admissible" theorem of Colmez and Fontaine describing the semi-stable p-adic representations. We study Banach-Colmez spaces, i.e. p-adic Banach spaces with the extra data of a C_p-algebra of analytic ... More

Probabilistic cellular automata with general alphabets letting a Markov chain invariantOct 12 2014This paper is devoted to probabilistic cellular automata (PCA) on $\mathbb{N}$, $\mathbb{Z}$ or $\mathbb{Z}/n\mathbb{Z}$, depending of two neighbors, with a general alphabet $E$ (finite or infinite, discrete or not). We study the following question: under ... More

Construction and enumeration of circuits capable of guiding a miniature vehicleMar 29 2016In contrast to traditional toy tracks, a patented system allows the creation of a large number of tracks with a minimal number of pieces, and whose loops always close properly. These circuits strongly resemble traditional self-avoiding polygons (whose ... More

Protected subspace Ramsey spectroscopyJul 31 2014Nov 27 2014We study a modified Ramsey spectroscopy technique employing slowly decaying states for quantum metrology applications using dense ensembles. While closely positioned atoms exhibit superradiant collective decay and dipole-dipole induced frequency shifts, ... More

A superradiant clock laser on a magicwavelength optical latticeFeb 18 2014Feb 19 2014An ideal superradiant laser on an optical clock transition of noninteracting cold atoms is predicted to exhibit an extreme frequency stability and accuracy far below mHz-linewidth. In any concrete setup sufficiently many atoms have to be confined and ... More

Selective protected state preparation of coupled dissipative quantum emittersApr 30 2015Dec 21 2015Inherent binary or collective interactions in ensembles of quantum emitters induce a spread in the energy and lifetime of their eigenstates. While this typically causes fast decay and dephasing, in many cases certain special entangled collective states ... More

Superradiant Cooling, Trapping, and Lasing of Dipole-Interacting Clock AtomsJun 05 2019A cold atomic gas with an inverted population on a transition coupled to a field mode of an optical resonator constitutes a generic model of a laser. For quasi-continuous operation, external pumping, trapping and cooling of the atoms is required to confine ... More

Structurally Cyclic Petri NetsOct 28 2015Dec 20 2015A Petri net is structurally cyclic if every configuration is reachable from itself in one or more steps. We show that structural cyclicity is decidable in deterministic polynomial time. For this, we adapt the Kosaraju's approach for the general reachability ... More

PyFAI: a Python library for high performance azimuthal integration on GPUDec 19 2014The pyFAI package has been designed to reduce X-ray diffraction images into powder diffraction curves to be further processed by scientists. This contribution describes how to convert an image into a radial profile using the Numpy package, how the process ... More

XWeB: the XML Warehouse BenchmarkFeb 02 2011With the emergence of XML as a standard for representing business data, new decision support applications are being developed. These XML data warehouses aim at supporting On-Line Analytical Processing (OLAP) operations that manipulate irregular XML data. ... More

Spectral Methods for Numerical RelativityJun 15 2007Oct 23 2008Equations arising in General Relativity are usually too complicated to be solved analytically and one has to rely on numerical methods to solve sets of coupled partial differential equations. Among the possible choices, this paper focuses on a class called ... More

Simulation of Gegenbauer Processes using Wavelet PacketsAug 24 2006In this paper, we study the synthesis of Gegenbauer processes using the wavelet packets transform. In order to simulate a 1-factor Gegenbauer process, we introduce an original algorithm, inspired by the one proposed by Coifman and Wickerhauser [1], to ... More

Algorithms for nonnegative matrix factorization with the beta-divergenceOct 08 2010Mar 08 2011This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean distance, the Kullback-Leibler ... More

Measurement back-action on adiabatic coherent electron transportMar 30 2010We study the back-action of a nearby measurement device on electrons undergoing coherent transfer via adiabatic passage (CTAP) in a triple-well system. The measurement is provided by a quantum point contact capacitively coupled to the middle well, thus ... More

Implementing cryptographic pairings at standard security levelsJul 22 2014This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that optimal ate and ... More

A parameterless scale-space approach to find meaningful modes in histograms - Application to image and spectrum segmentationJan 13 2014In this paper, we present an algorithm to automatically detect meaningful modes in a histogram. The proposed method is based on the behavior of local minima in a scale-space representation. We show that the detection of such meaningful modes is equivalent ... More

The twisted Alexander polynomial for finite abelian covers over three manifolds with boundaryJul 17 2011Jan 16 2012We provide the twisted Alexander polynomials of finite abelian covers over three-dimensional manifolds whose boundary is a finite union of tori. This is a generalization of a well-known formula for the usual Alexander polynomial of knots in finite cyclic ... More

Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimensionFeb 25 2013Jul 18 2013The subject of this paper is the estimation of a probability measure on ${\mathbb R}^d$ from data observed with an additive noise, under the Wasserstein metric of order $p$ (with $p\geq 1$). We assume that the distribution of the errors is known and belongs ... More

A distance for probability spaces, and long-term values in Markov Decision Processes and Repeated GamesFeb 28 2012Given a finite set $K$, we denote by $X=\Delta(K)$ the set of probabilities on $K$ and by $Z=\Delta_f(X)$ the set of Borel probabilities on $X$ with finite support. Studying a Markov Decision Process with partial information on $K$ naturally leads to ... More

DC CalculusMay 18 2015In this paper, we extend the DC Calculus introduced by Perelman on finite dimensional Alexandrov spaces with curvature bounded below. Among other things, our results allow us to define the Hessian and the Laplacian of DC functions (including distance ... More

A geometric study of Wasserstein spaces: an addendum on the boundaryFeb 06 2013May 13 2013We extend the geometric study of the Wasserstein space W(X) of a simply connected, negatively curved metric space X by investigating which pairs of boundary points can be linked by a geodesic, when X is a tree.

Level density of a Fermi gas: average growth and fluctuationsFeb 13 2006We compute the level density of a two--component Fermi gas as a function of the number of particles, angular momentum and excitation energy. The result includes smooth low--energy corrections to the leading Bethe term (connected to a generalization of ... More

Stochastic modelling of thermal effects on a ferromagnetic nano particleJun 24 2016In this work, we are interested in the behaviour of a single ferromagnetic mono--domain particle submitted to an external field with a stochastic perturbation. This model is a step toward the mathematical understanding of thermal effects on ferromagnets. ... More

Modulational instability in wind-forced wavesOct 15 2014Oct 23 2014We consider the wind-forced nonlinear Schroedinger (NLS) equation obtained in the potential flow framework when the Miles growth rate is of the order of the wave steepness. In this case, the form of the wind-forcing terms gives rise to the enhancement ... More

Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary $α$-dependent sequencesFeb 28 2015We study the Wasserstein distance of order 1 between the empirical distribution and the marginal distribution of stationary $\alpha$-dependent sequences. We prove some moments inequalities of order p for any p $\ge$ 1, and we give some conditions under ... More

Density estimation for $β$-dependent sequencesMay 17 2016We study the Lp-integrated risk of some classical estimators of the density, when the observations are drawn from a strictly stationary sequence. The results apply to a large class of sequences, which can be non-mixing in the sense of Rosenblatt and long-range ... More

Angular momentum redistribution by SASI spiral modes and consequences for neutron star spinsOct 09 2013Apr 23 2014In the collapsing core of massive stars, the standing accretion shock instability (SASI) can drive spiral modes that efficiently redistribute angular momentum. This process can impart a spin to the forming neutron star even when the progenitor star is ... More

Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theorySep 27 2012We study the radius of convergence of a differential equation on a smooth Berkovich curve over a non-archimedean complete valued field of characteristic 0. Several properties of this function are known: F. Baldassarri proved that it is continuous and ... More

Notions of Stein spaces in non-archimedean geometryNov 10 2017Dec 21 2018Let $k$ be a non-archimedean complete valued field and $X$ be a $k$-analytic space in the sense of Berkovich. In this note, we prove the equivalence between three properties: 1) for every complete valued extension $k'$ of $k$, every coherent sheaf on ... More

Prescribing The Gauss Curvature Of Convex Bodies In Hyperbolic SpaceMar 15 2019The Gauss curvature measure of a pointed Euclidean convex body is a measure on the unit sphere which extends the notion of Gauss curvature to non-smooth bodies. Alexandrov's problem consists in finding a convex body with given curvature measure. In Euclidean ... More

On the upstream mobility scheme for two-phase flow in porous mediaJan 26 2009When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretizing in one-dimensional with a finite ... More

Robust adaptive importance sampling for normal random vectorsNov 10 2008Oct 23 2009Adaptive Monte Carlo methods are very efficient techniques designed to tune simulation estimators on-line. In this work, we present an alternative to stochastic approximation to tune the optimal change of measure in the context of importance sampling ... More

Topological Complexity of H-SpacesJun 17 2011Let X be a (not-necessarily homotopy-associative) H-space. We show that TC_{n+1}(X) = cat(X^n), for n >= 1, where TC_{n+1}(-) denotes the so-called higher topological complexity introduced by Rudyak, and cat(-) denotes the Lusternik-Schnirelmann category. ... More

Neural network regression for Bermudan option pricingJul 15 2019The pricing of Bermudan options amounts to solving a dynamic programming principle , in which the main difficulty, especially in large dimension, comes from the computation of the conditional expectation involved in the continuation value. These conditional ... More

On the number of connected components of the ramification locus of a morphism of Berkovich curvesSep 25 2017Mar 06 2018Let $k$ be a complete, nontrivially valued non-archimedean field. Given a finite morphism of quasi-smooth $k$-analytic curves that admit finite triangulations, we provide upper bounds for the number of connected components of the ramification locus in ... More

Pattern tree-based XOLAP rollup operator for XML complex hierarchiesFeb 04 2011With the rise of XML as a standard for representing business data, XML data warehousing appears as a suitable solution for decision-support applications. In this context, it is necessary to allow OLAP analyses on XML data cubes. Thus, XQuery extensions ... More

Dynamic Logic of Common Knowledge in a Proof AssistantDec 19 2007Common Knowledge Logic is meant to describe situations of the real world where a group of agents is involved. These agents share knowledge and make strong statements on the knowledge of the other agents (the so called \emph{common knowledge}). But as ... More

The convex hull of a regular set of integer vectors is polyhedral and effectively computableDec 10 2008Number Decision Diagrams (NDD) provide a natural finite symbolic representation for regular set of integer vectors encoded as strings of digit vectors (least or most significant digit first). The convex hull of the set of vectors represented by a NDD ... More

Extended Skyrme interaction (I): spin fluctuations in dense matterMay 12 2009Jun 18 2009Most of the Skyrme interactions are known to predict spin or isospin instabilities beyond the saturation density of nuclear matter which contradict predictions based on realistic interactions. A modification of the standard Skyrme interaction is proposed ... More

The convergence Newton polygon of a $p$-adic differential equation III : global decomposition and controlling graphsAug 04 2013We deal with locally free $\mathcal{O}_X$-modules with connection over a Berkovich curve $X$. As a main result we prove local and global decomposition theorems of such objects by the radii of convergence of their solutions. We also derive a bound of the ... More

A Parallel Algorithm for solving BSDEs - Application to the pricing and hedging of American optionsFeb 23 2011We present a parallel algorithm for solving backward stochastic differential equations (BSDEs in short) which are very useful theoretic tools to deal with many financial problems ranging from option pricing option to risk management. Our algorithm based ... More

First-Principles Determination of Electron-Ion Couplings in the Warm Dense Matter RegimeApr 09 2019We present first-principles calculations of the rate of energy exchanges between electrons and ions in nonequilibrium warm dense plasmas, liquid metals and hot solids, a fundamental property for which various models offer diverging predictions. To this ... More

Level density of a Fermi gas and integer partitions: a Gumbel-like finite-size correctionJan 29 2010Mar 20 2010We investigate the many-body level density of gas of non-interacting fermions. We determine its behavior as a function of the temperature and the number of particles. As the temperature increases, and beyond the usual Sommerfeld expansion that describes ... More

On the ground--state energy of finite Fermi systemsMar 02 2007Sep 04 2007We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular, supershells) that ... More

The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gasesDec 14 2017May 16 2018Motivated by the calculation of correlation functions in inhomogeneous one-dimensional (1d) quantum systems, the 2d Inhomogeneous Gaussian Free Field (IGFF) is studied and solved. The IGFF is defined in a domain $\Omega \subset \mathbb{R}^2$ equipped ... More

One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invarianceJan 09 2017Apr 05 2017The one-particle density matrix of the one-dimensional Tonks-Girardeau gas with inhomogeneous density profile is calculated, thanks to a recent observation that relates this system to a two-dimensional conformal field theory in curved space. The result ... More

Radial orbit instability as a dissipation-induced phenomenonMar 11 2010Nov 30 2010This paper is devoted to Radial Orbit Instability in the context of self-gravitating dynamical systems. We present this instability in the new frame of Dissipation-Induced Instability theory. This allows us to obtain a rather simple proof based on energetics ... More

Continuous Vernier filtering of an optical frequency comb for broadband cavity-enhanced molecular spectroscopyMar 09 2016We have recently introduced the Vernier-based Direct Frequency Comb Cavity-Enhanced Spectroscopy technique and we present the corresponding formalism for quantitative broadband spectroscopy. We achieve high sensitivity and broadband performance by acquiring ... More

The convergence Newton polygon of a p-adic differential equation II: Continuity and finiteness on Berkovich curvesSep 17 2012We study the variation of the convergence Newton polygon of a differential equation along a smooth Berkovich curve over a non-archimedean complete valued field of characteristic 0. Relying on work of the second author who investigated its properties on ... More

Evaluating the Dynamic Behavior of Database ApplicationsJan 02 2017This paper explores the effect that changing access patterns has on the performance of database management systems. Changes in access patterns play an important role in determining the efficiency of key performance optimization techniques, such as dynamic ... More

Facilitated diffusion framework for transcription factor search with conformational changesJul 09 2015Cellular responses often require the fast activation or repression of specific genes, which depends on Transcription Factors (TFs) that have to quickly find the promoters of these genes within a large genome. Transcription Factors (TFs) search for their ... More

Social Influence with Recurrent Mobility with multiple optionsJan 26 2018In this paper, we discuss the possible generalizations of the Social Influence with Recurrent Mobility (SIRM) model developed in Phys. Rev. Lett. 112, 158701 (2014). Although the SIRM model worked approximately satisfying when US election was modelled, ... More

Photocurrent and photoconductance of an helical edge stateApr 16 2019We consider the helical edge state of a Quantum Spin Hall insulator, connected between two leads, and irradiated by a monochromatic and circularly polarized electromagnetic wave. The photocurrent generated within the helical edge state is studied as function ... More

Fluid structure system with boundary conditions involving the pressureJul 20 2017May 16 2018We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier--Stokes equations in a 2D rectangular type domain where the upper part of the domain is described by a damped ... More