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math.PR2017
Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process
Loïc Hervé, Sana Louhichi, Françoise Pène
We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers…
math.PR2016
A computable bound of the essential spectral radius of finite range Metropolis--Hastings kernels
Loïc Hervé, James Ledoux
Let be a positive continuous target density on . Let be the Metropolis-Hastings operator on the Lebesgue space corresponding to a proposal Mar…
math.PR2012
On the recurrence set of planar Markov Random Walks
Loïc Hervé, Françoise Pène
In this paper, we investigate the properties of recurrent planar Markov random walks. More precisely, we study the set of recurrent points with the use of local limit theorems. The…