Nicolas Champagnat
Nicolas Champagnat
Inria Nancy - Grand Est
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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
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
Exponential convergence to quasi-stationary distribution and $$$$-process
N Champagnat, D Villemonais
Probability Theory and Related Fields 164 (1-2), 243-283, 2016
Invasion and adaptive evolution for individual-based spatially structured populations
N Champagnat, S Méléard
Journal of Mathematical Biology 55 (2), 147-188, 2007
Polymorphic evolution sequence and evolutionary branching
N Champagnat, S Méléard
Probability Theory and Related Fields 151 (1-2), 45-94, 2011
Evolution of discrete populations and the canonical diffusion of adaptive dynamics
N Champagnat, A Lambert
Annals of Applied Probability 17 (1), 102-155, 2007
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, 75-113, 2007
Tensor numerical methods for multidimensional PDEs: theoretical analysis and initial applications
BN Khoromskij
ESAIM: Proceedings and Surveys 48, 1-28, 2015
A review on anaerobic membrane bioreactors (AnMBRs) focused on modelling and control aspects
Á Robles, MV Ruano, A Charfi, G Lesage, M Heran, J Harmand, A Seco, ...
Bioresource technology 270, 612-626, 2018
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
General criteria for the study of quasi-stationarity
N Champagnat, D Villemonais
arXiv preprint arXiv:1712.08092, 2017
Introduction to vector quantization and its applications for numerics
G Pagès
ESAIM: proceedings and surveys 48, 29-79, 2015
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-Modélisation …, 2010
Well posedness in any dimension for Hamiltonian flows with non BV force terms
N Champagnat, PE Jabin
Communications in Partial Differential Equations 35 (5), 786-816, 2010
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
Birth and death processes with neutral mutations
N Champagnat, A Lambert, M Richard
International Journal of Stochastic Analysis 2012, 2012
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
Splitting trees with neutral Poissonian mutations I: Small families
N Champagnat, A Lambert
Stochastic Processes and their Applications 122 (3), 1003-1033, 2012
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