Search Results - "Fontbona, Joaquin"
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Quantitative Uniform Propagation of Chaos for Maxwell Molecules
Published in Communications in mathematical physics (01-02-2018)“…We prove propagation of chaos at explicit polynomial rates in Wasserstein distance W 2 for Kac’s N -particle system associated with the spatially homogeneous…”
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Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
Published in Probability theory and related fields (01-03-2009)“…In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential…”
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Quantitative mean-field limit for interacting branching diffusions
Published in Electronic journal of probability (01-01-2022)Get full text
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DYNAMICS OF A PLANAR COULOMB GAS
Published in The Annals of applied probability (01-10-2018)“…We study the long-time behavior of the dynamics of interacting planar Brownian particles, confined by an external field and subject to a singular pair…”
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Synchronization of stochastic mean field networks of Hodgkin–Huxley neurons with noisy channels
Published in Journal of mathematical biology (01-05-2019)“…In this work we are interested in a mathematical model of the collective behavior of a fully connected network of finitely many neurons, when their number and…”
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QUANTITATIVE PROPAGATION OF CHAOS FOR GENERALIZED KAC PARTICLE SYSTEMS
Published in The Annals of applied probability (01-04-2016)“…We study a class of one-dimensional particle systems with true (Bird type) binary interactions, which includes Kac's model of the Boltzmann equation and…”
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A TRAJECTORIAL INTERPRETATION OF THE DISSIPATIONS OF ENTROPY AND FISHER INFORMATION FOR STOCHASTIC DIFFERENTIAL EQUATIONS
Published in The Annals of probability (01-01-2016)“…The dissipation of general convex entropies for continuous time Markov processes can be described in terms of backward martingales with respect to the tail…”
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Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium
Published in Journal of mathematical biology (01-03-2015)“…We introduce a stochastic individual model for the spatial behavior of an animal population of dispersive and competitive species, considering various kinds of…”
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Long time behavior of telegraph processes under convex potentials
Published in Stochastic processes and their applications (01-10-2016)“…We study the long-time behavior of variants of the telegraph process with position-dependent jump-rates, which result in a monotone gradient-like drift towards…”
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THE LIMITING MOVE-TO-FRONT SEARCH-COST IN LAW OF LARGE NUMBERS ASYMPTOTIC REGIMES
Published in The Annals of applied probability (01-04-2010)“…We explicitly compute the limiting transient distribution of the search-cost in the move-to-front Markov chain when the number of objects tends to infinity,…”
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11
Energy efficiency of consecutive fragmentation processes
Published in Journal of applied probability (01-06-2010)“…Motivated by a problem arising in the mining industry, we present a first study of the energy required to reduce a unit mass fragment by consecutively using…”
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12
Quantitative Estimates for the Long-Time Behavior of an Ergodic Variant of the Telegraph Process
Published in Advances in applied probability (01-12-2012)“…Motivated by stability questions on piecewise-deterministic Markov models of bacterial chemotaxis, we study the long-time behavior of a variant of the classic…”
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13
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Published 30-05-2024“…We develop a Mean-Field (MF) view of the learning dynamics of overparametrized Artificial Neural Networks (NN) under data symmetric in law wrt the action of a…”
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14
Paths Clustering and an Existence Result for Stochastic Vortex Systems
Published in Journal of statistical physics (01-08-2007)Get full text
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15
Quantitative Estimates for the Long-Time Behavior of an Ergodic Variant of the Telegraph Process
Published in Advances in applied probability (01-12-2012)“…Motivated by stability questions on piecewise-deterministic Markov models of bacterial chemotaxis, we study the long-time behavior of a variant of the classic…”
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16
A novel notion of barycenter for probability distributions based on optimal weak mass transport
Published 26-02-2021“…We introduce weak barycenters of a family of probability distributions, based on the recently developed notion of optimal weak transport of mass by Gozlanet…”
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17
Local Existence of Analytical Solutions to an Incompressible Lagrangian Stochastic Model in a Periodic Domain
Published in Communications in partial differential equations (03-07-2013)“…We consider an incompressible kinetic Fokker Planck equation in the flat torus, which is a simplified version of the Lagrangian stochastic models for turbulent…”
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On SDE associated with continuous-state branching processes conditioned to never be extinct
Published in Electronic communications in probability (2012)Get full text
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On Prolific Individuals in a Supercritical Continuous-State Branching Process
Published in Journal of applied probability (01-09-2008)“…We describe the genealogy of individuals with infinite descent in a supercritical continuous-state branching process…”
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Measurability of optimal transportation and strong coupling of martingale measures
Published in Electronic communications in probability (01-01-2010)“…We consider the optimal mass transportation problem in $\RR^d$ with measurably parameterized marginals, for general cost functions and under conditions…”
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