Výsledky vyhledávání - "Émile Le Page"

Limit theorems for critical branching processes in a finite-state-space Markovian environment

Autor: Ion Grama, Ronan Lauvergnat, Émile Le Page

Publikováno v: Advances in Applied Probability. 54:111-140

Let $(Z_n)_{n\geq 0}$ be a critical branching process in a random environment defined by a Markov chain $(X_n)_{n\geq 0}$ with values in a finite state space $\mathbb{X}$ . Let $ S_n = \sum_{k=1}^n \ln f_{X_k}^{\prime}(1)$ be the Markov walk associat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f92d7d85a72d37c918868dec3ec0c2d1
https://doi.org/10.1017/apr.2021.18

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Théorèmes limites pour des marches aléatoires markoviennes conditionnées à rester positives

Autor: Lauvergnat, Ronan

Publikováno v: Probability [math.PR]. Université de Bretagne Sud, 2017. English. ⟨NNT : 2017LORIS451⟩

We consider a real random walk whose increments are constructed by a Markov chain definedon an abstract space. We suppose that the random walk is centred and that the dependence of the Markov walk in its past decreases exponentially fast (due to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ee18c26c7e80fe30c1aacd72c7a774d7
https://tel.archives-ouvertes.fr/tel-01718390/file/2017theseLauvergnatR.pdf

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