Nicolas Champagnat
Nicolas Champagnat
Inria Nancy - Grand Est
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Citat de
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Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
N Champagnat, R Ferrière, S Méléard
Theoretical population biology 69 (3), 297-321, 2006
A microscopic interpretation for adaptive dynamics trait substitution sequence models
N Champagnat
Stochastic processes and their applications 116 (8), 1127-1160, 2006
Exponential convergence to quasi-stationary distribution and -process
N Champagnat, D Villemonais
Probability Theory and Related Fields 164 (1), 243-283, 2016
The canonical equation of adaptive dynamics: a mathematical view
N Champagnat, R Ferričre, G Ben Arous4
Selection 2 (1-2), 73-83, 2002
From individual stochastic processes to macroscopic models in adaptive evolution
N Champagnat, R Ferrière, S Méléard
Stochastic Models 24 (sup1), 2-44, 2008
Invasion and adaptive evolution for individual-based spatially structured populations
N Champagnat, S Méléard
Journal of Mathematical Biology 55, 147-188, 2007
Polymorphic evolution sequence and evolutionary branching
N Champagnat, S Méléard
Probability Theory and Related Fields 151, 45-94, 2011
General criteria for the study of quasi-stationarity
N Champagnat, D Villemonais
Electronic Journal of Probability 28, 1-84, 2023
Evolution of discrete populations and the canonical diffusion of adaptive dynamics
N Champagnat, A Lambert
Adaptation in a stochastic multi-resources chemostat model
N Champagnat, PE Jabin, S Méléard
Journal de Mathématiques Pures et Appliquées 101 (6), 755-788, 2014
Individual-based probabilistic models of adaptive evolution and various scaling approximations
N Champagnat, R Ferrière, S Méléard
Seminar on Stochastic Analysis, Random Fields and Applications V: Centro …, 2008
Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes
N Champagnat, D Villemonais
Stochastic Processes and their Applications 135, 51-74, 2021
Uniform convergence to the -process
N Champagnat, D Villemonais
Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics
M Bossy, N Champagnat, S Maire, D Talay
ESAIM: Mathematical Modelling and Numerical Analysis 44 (5), 997-1048, 2010
Criteria for exponential convergence to quasi-stationary distributions and applications to multi-dimensional diffusions
N Champagnat, KA Coulibaly-Pasquier, D Villemonais
Séminaire de Probabilités XLIX, 165-182, 2018
Local adaptation, dispersal evolution, and the spatial eco‐evolutionary dynamics of invasion
M Andrade‐Restrepo, N Champagnat, R Ferrière
Ecology letters 22 (5), 767-777, 2019
Strong solutions to stochastic differential equations with rough coefficients
N Champagnat, PE Jabin
Regime switching model for financial data: Empirical risk analysis
K Salhi, M Deaconu, A Lejay, N Champagnat, N Navet
Physica A: Statistical Mechanics and its Applications 461, 148-157, 2016
The evolutionary limit for models of populations interacting competitively via several resources
N Champagnat, PE Jabin
Journal of Differential Equations 251 (1), 176-195, 2011
Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems
N Champagnat, PE Jabin, G Raoul
Comptes Rendus Mathematique 348 (23-24), 1267-1272, 2010
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