Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models N Champagnat, R Ferrière, S Méléard
Theoretical population biology 69 (3), 297-321, 2006
511 2006 A microscopic interpretation for adaptive dynamics trait substitution sequence models N Champagnat
Stochastic processes and their applications 116 (8), 1127-1160, 2006
207 2006 Exponential convergence to quasi-stationary distribution and -process N Champagnat, D Villemonais
Probability Theory and Related Fields 164 (1), 243-283, 2016
188 2016 The canonical equation of adaptive dynamics: a mathematical view N Champagnat, R Ferričre, G Ben Arous4
Selection 2 (1-2), 73-83, 2002
168 2002 From individual stochastic processes to macroscopic models in adaptive evolution N Champagnat, R Ferrière, S Méléard
Stochastic Models 24 (sup1), 2-44, 2008
157 2008 Invasion and adaptive evolution for individual-based spatially structured populations N Champagnat, S Méléard
Journal of Mathematical Biology 55, 147-188, 2007
144 2007 General criteria for the study of quasi-stationarity N Champagnat, D Villemonais
Electronic Journal of Probability 28, 1-84, 2023
125 2023 Polymorphic evolution sequence and evolutionary branching N Champagnat, S Méléard
Probability Theory and Related Fields 151, 45-94, 2011
123 2011 Evolution of discrete populations and the canonical diffusion of adaptive dynamics N Champagnat, A Lambert
95 2007 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
65 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
65 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
54 2021 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
53 2019 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
49 2018 Uniform convergence to the -process N Champagnat, D Villemonais
49 2017 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
47 2010 Strong solutions to stochastic differential equations with rough coefficients N Champagnat, PE Jabin
46 2018 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
41 2016 Erratum: Practical criteria for -positive recurrence of unbounded semigroups N Champagnat, D Villemonais
38 2020 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
38 2011