International audienceWe prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit. We show further that the invariant probability measure of the Moran model converges to the unique stationary solution of Eigen's quasispecies model
AbstractA genetics model of Moran—which includes the Bernoulli–Laplace urn as a special case—is exam...
39 pagesWe study the probabilistic evolution of a birth and death continuous time measure-valued pro...
AbstractFor a population genetic model with differential fertility it is shown that every solution t...
International audienceWe prove that a Moran model converges in probability to Eigen's quasispecies m...
Manfred Eigen introduced the concept of quasispecies in the early 70s, in order to describe the stea...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
L'objectif principal de cette thèse est d'étudier l'évolution, en temps long et pour une grande tail...
Le concept de quasi-espèce, introduit par Manfred Eigen dans les années 70, décrit l'état d'équilibr...
Cordero F. The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCE...
26 pagesInternational audienceThis article studies the limit of the empirical distribution induced b...
We consider finite population size effects for Crow-Kimura and Eigen quasispecies models with single...
The main goal of this thesis is to study the evolution of a multi-allelic Moran model, which is a co...
This paper proposes and analyzes a model of stochastic evolution in finite populations. The expected...
A model of learning as a generalization of the Eigen’s quasispecies model in population genetics is ...
AbstractA genetics model of Moran—which includes the Bernoulli–Laplace urn as a special case—is exam...
39 pagesWe study the probabilistic evolution of a birth and death continuous time measure-valued pro...
AbstractFor a population genetic model with differential fertility it is shown that every solution t...
International audienceWe prove that a Moran model converges in probability to Eigen's quasispecies m...
Manfred Eigen introduced the concept of quasispecies in the early 70s, in order to describe the stea...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
L'objectif principal de cette thèse est d'étudier l'évolution, en temps long et pour une grande tail...
Le concept de quasi-espèce, introduit par Manfred Eigen dans les années 70, décrit l'état d'équilibr...
Cordero F. The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCE...
26 pagesInternational audienceThis article studies the limit of the empirical distribution induced b...
We consider finite population size effects for Crow-Kimura and Eigen quasispecies models with single...
The main goal of this thesis is to study the evolution of a multi-allelic Moran model, which is a co...
This paper proposes and analyzes a model of stochastic evolution in finite populations. The expected...
A model of learning as a generalization of the Eigen’s quasispecies model in population genetics is ...
AbstractA genetics model of Moran—which includes the Bernoulli–Laplace urn as a special case—is exam...
39 pagesWe study the probabilistic evolution of a birth and death continuous time measure-valued pro...
AbstractFor a population genetic model with differential fertility it is shown that every solution t...
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