Comportement en temps long de différent processus stochastiques en neuroscience

Autor: Colombani, Laetitia

Publikováno v: Probability [math.PR]. Université Paul Sabatier-Toulouse III, 2022. English. ⟨NNT : 2022TOU30092⟩

In this thesis, we focus on two stochastic models which can be applied to neuroscience : Hawkes model and FitzHugh-Nagumo model. We study their long-time behavior. The first chapter deals with cumulative processes, which are a larger processes class

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______4074::eaac053d0da45f82cb358dd6de2cb417
https://theses.hal.science/tel-03760659/document

Weak error analysis for time and particle discretizations of some stochastic differential equations non linear in the sense of McKean

Autor: Bencheikh, Oumaima

Publikováno v: Mathematics [math]. Université Paris-Est Marne la vallée, 2020. English
Mathematics [math]. Université Paris-Est Marne la vallée, 2020. English. ⟨NNT : ⟩

This thesis is dedicated to the theoretical and numerical study of the weak error for time and particle discretizations of some Stochastic Differential Equations non linear in the sense of McK- ean. In the first part, we address the weak error analys

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::18143ef08be3862fe4141e4136266996
https://pastel.archives-ouvertes.fr/tel-03129956/file/TH2020PESC1030.pdf

Mean reflected SDEs with jumps and McKean-Vlasov backward SDEs : theoretical and numerical study

Autor: Ghannoum, Abir

Publikováno v: Mathématiques générales [math.GM]. Université Grenoble Alpes; Université Libanaise, 2019. Français. ⟨NNT : 2019GREAM068⟩

This thesis is devoted to the theoretical and numerical study of two main subjects in the context of stochastic differential equations (SDEs): mean reflected SDEs with jumps and McKean-Vlasov backward SDEs.The first part of my thesis establishes the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3a446160e0532171db55a09192730e4c
https://tel.archives-ouvertes.fr/tel-02951412/document

Etude des réseaux stochastiques en interaction : à grande échelle, comportements en temps long et fluctuations, avec des applications dans les réseaux de communication et la polymérisation des protéines

Autor: Sun, Wen

Publikováno v: Dynamical Systems [math.DS]. Sorbonne Université, 2018. English. ⟨NNT : 2018SORUS075⟩

This PhD document is devoted to the analyses of large stochastic networks used to study mathematical models in communication networks and in biology. The first part consists of the analysis of three models used to evaluate the efficiency of duplicati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4dfd29d37feb1357a17aed67f3f18e21
https://tel.archives-ouvertes.fr/tel-02481792/document

Stochastic models for collective motions of populations

Autor: Pédèches, Laure

Dans cette thèse, on s'intéresse à des systèmes stochastiques modélisant un des phénomènes biologiques les plus mystérieux, les mouvements collectifs de populations. Pour un groupe de N individus, vus comme des particules sans poids ni volume

Externí odkaz: http://www.theses.fr/2017TOU30083/document