7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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6 papers · 2 filters
General criteria for the study of quasi-stationarity
Nicolas Champagnat, Denis Villemonais
For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary d…
A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources
Nicolas Champagnat, Benoît Henry
This work is devoted to the study of scaling limits in small mutations and large time of the solutions u^ of two deterministic models of phenotypic adaptation, where the paramet…
A non-linear wave equation with fractional perturbation
Aurélien Deya
We study a -dimensional wave equation model () with quadratic non-linearity and stochastic forcing given by a space-time fractional noise. Two different regimes a…
Fluctuations of the Empirical Measure of Freezing Markov Chains
Florian Bouguet, Bertrand Cloez
In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as…
Perpetual integrals convergence and extinctions in population dynamics
Camille Coron, Sylvie Méléard, Denis Villemonais
In this article we use a criterion for the integrability of paths of one-dimensional diffusion processes from which we derive new insights on allelic fixation in several situations…
Approximations of the allelic frequency spectrum in general supercritical branching populations
Benoit Henry
We consider a general branching population where the lifetimes of individuals are i.i.d.\ with arbitrary distribution and where each individual gives birth to new individuals at Po…