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pro vyhledávání: '"Bouguet , Florian"'
Autor:
Bouguet, Florian, Cloez, Bertrand
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 a cooling of the dynamics of an underlying Markov chain. We are inter
Externí odkaz:
http://arxiv.org/abs/1705.02121
Autor:
Bouguet, Florian
In this note, we consider general growth-fragmentation equations from a probabilistic point of view. Using Foster-Lyapunov techniques, we study the recurrence of the associated Markov process depending on the growth and fragmentation rates. We prove
Externí odkaz:
http://arxiv.org/abs/1609.02414
Publikováno v:
The Annals of Applied Probability 2017, Vol. 27, No. 5, 3004-3049
In this work, we consider an inhomogeneous (discrete time) Markov chain and are interested in its long time behavior. We provide sufficient conditions to ensure that some of its asymptotic properties can be related to the ones of a homogeneous (conti
Externí odkaz:
http://arxiv.org/abs/1601.06266
This note provides several recent progresses in the study of long time behavior of Markov processes. The examples presented below are related to other scientific fields as PDE's, physics or biology. The involved mathematical tools as propagation of c
Externí odkaz:
http://arxiv.org/abs/1507.05801
Autor:
Bouguet, Florian
Publikováno v:
ESAIM: Probability and Statistics (2015) Vol.19, p.482-501
In this paper we consider a class of piecewise-deterministic Markov processes (PDMPs) modeling the quantity of a given food contaminant in the body. On the one hand, the amount of contaminant increases with random food intakes and, on the other hand,
Externí odkaz:
http://arxiv.org/abs/1310.3948
Publikováno v:
The Annals of Applied Probability, 2017 Oct 01. 27(5), 3004-3049.
Externí odkaz:
https://www.jstor.org/stable/26361433
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 51, Pp 193-211 (2015)
This note provides several recent progresses in the study of long time behavior of Markov processes. The examples presented below are related to other scientific fields as PDE’s, physics or biology. The involved mathematical tools as propagation
Externí odkaz:
https://doaj.org/article/8b0f065c833b40dbabad070284914afa
Autor:
Bouguet, Florian
Publikováno v:
Séminaire de Probabilités
Séminaire de Probabilités XLIX
Séminaire de Probabilités XLIX, Springer, pp.57-74, 2018, Lecture Notes in Mathematics vol. 2215, 978-3-319-92419-9. ⟨10.1007/978-3-319-92420-5_2⟩
Séminaire de Probabilités XLIX
Séminaire de Probabilités XLIX, Springer, pp.57-74, 2018, Lecture Notes in Mathematics vol. 2215, 978-3-319-92419-9. ⟨10.1007/978-3-319-92420-5_2⟩
International audience; In this note, we consider general growth-fragmentation equations from a probabilistic point of view. Using Foster-Lyapunov techniques, we study the recurrence of the associated Markov process depending on the growth and fragme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9c86391c1d0b0fe7fd9a8f995c150806
https://hal.science/hal-01362555
https://hal.science/hal-01362555
Autor:
Bouguet , Florian
Publikováno v:
Probability [math.PR]. Rennes 1, 2016. English. ⟨NNT : ⟩
Probability [math.PR]. Rennes 1, 2016. English
Probability [math.PR]. Rennes 1, 2016. English
The purpose of this Ph.D. thesis is the study of piecewise deterministic Markov processes, which are often used for modeling many natural phenomena. Precisely, we shall focus on their long time behavior as well as their speed of convergence to equili
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::97eb10ea8c885bf480753c0d9aae9da0
https://hal.science/tel-01342395/document
https://hal.science/tel-01342395/document