Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models N Champagnat, R Ferrière, S Méléard Theoretical population biology 69 (3), 297-321, 2006 | 506 | 2006 |
A microscopic interpretation for adaptive dynamics trait substitution sequence models N Champagnat Stochastic processes and their applications 116 (8), 1127-1160, 2006 | 205 | 2006 |
Exponential convergence to quasi-stationary distribution and -process N Champagnat, D Villemonais Probability Theory and Related Fields 164 (1), 243-283, 2016 | 184 | 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 | 156 | 2008 |
Invasion and adaptive evolution for individual-based spatially structured populations N Champagnat, S Méléard Journal of Mathematical Biology 55, 147-188, 2007 | 143 | 2007 |
Polymorphic evolution sequence and evolutionary branching N Champagnat, S Méléard Probability Theory and Related Fields 151, 45-94, 2011 | 121 | 2011 |
General criteria for the study of quasi-stationarity N Champagnat, D Villemonais Electronic Journal of Probability 28, 1-84, 2023 | 117 | 2023 |
Evolution of discrete populations and the canonical diffusion of adaptive dynamics N Champagnat, A Lambert | 93 | 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 | 64 | 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 | 52 | 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 | 51 | 2019 |
Uniform convergence to the -process N Champagnat, D Villemonais | 49 | 2017 |
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 | 47 | 2018 |
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 |