Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Jean-François Delmas"'
Publikováno v:
Advances in Applied Probability. 54:999-1031
Bifurcating Markov chains (BMCs) are Markov chains indexed by a full binary tree representing the evolution of a trait along a population where each individual has two children. We provide a central limit theorem for additive functionals of BMCs unde
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2022, 313, pp.1-53. ⟨10.1016/j.jde.2021.12.024⟩
Journal of Differential Equations, Elsevier, 2022, 313, pp.1-53. ⟨10.1016/j.jde.2021.12.024⟩
International audience; In this article, we introduce an infinite-dimensional deterministic SIS model which takes into account the heterogeneity of the infections and the social network among a large population. We study the long-time behavior of the
Publikováno v:
Journal of Theoretical Probability.
Publikováno v:
Random Structures & Algorithms. 58:94-149
We give asymptotics for the cumulative distribution function (CDF) for degrees of large dense random graphs sampled from a graphon. The proof is based on precise asymptotics for binomial random variables. Replacing the indicator function in the empir
Publikováno v:
Proceedings of the 31st European Safety and Reliability Conference (ESREL 2021).
Publikováno v:
Stochastic Processes and their Applications
Stochastic Processes and their Applications, 2021, 141, pp.309-343
Stochastic Processes and their Applications, Elsevier, 2021, 141, pp.309-343
Stochastic Processes and their Applications, 2021, 141, pp.309-343
Stochastic Processes and their Applications, Elsevier, 2021, 141, pp.309-343
We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant population at some fixed time and prove that, up to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9ac5afc3fa870d05e28cc7b33be713
https://hal.science/hal-02614083
https://hal.science/hal-02614083
In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current paper is to illustrate this theoretical framework with multiple examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaeb6b13359497bd3d7c55d88a60067b
Publikováno v:
Probability Theory and Related Fields
Probability Theory and Related Fields, 2022, 182, pp.277-351
Probability Theory and Related Fields, 2022, 182, pp.277-351
International audience; We give an invariance principle for very general additive functionals of conditioned Bienaymé-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59732f47812e18f9c44dde8cac4a558e
https://hal.archives-ouvertes.fr/hal-02941122/document
https://hal.archives-ouvertes.fr/hal-02941122/document
Publikováno v:
Journal of Applied Probability. 54:55-65
We consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove that a critical Galton–Watson tree conditioned on having a large nu
Publikováno v:
Journal of Theoretical Probability
Journal of Theoretical Probability, Springer, 2018, pp.757-788. ⟨10.1007/s10959-016-0739-8⟩
Journal of Theoretical Probability, Springer, 2018, pp.757-788. ⟨10.1007/s10959-016-0739-8⟩
International audience; Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten's tree. We obtain the result by generalizing