30 citations · 83 across the 16 of their papers we have counts for
17 papers
Specific properties of the ODE's flow in dimension two versus dimension three
Marc Briane, Loïc Hervé
This paper deals with the asymptotics of the ODE's flow induced by a regular vector field b on the d-dimensional torus R d /Z d. First, we start by revisiting the Franks-Misiurewic…
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…
Computable bounds of -spectral gap for discrete Markov chains with band transition matrices
Loïc Hervé, James Ledoux
We analyse the -convergence rate of irreducible and aperiodic Markov chains with -band transition probability matrix and with invariant distribution . This ana…
Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains
Loïc Hervé, Françoise Pène
We study properties of the Laplace transforms of non-negative additive functionals of Markov chains. We are namely interested in a multiplicative ergodicity property used in [18] t…
Spectral analysis of Markov kernels and application to the convergence rate of discrete random walks
Loïc Hervé, James Ledoux
Let be a Markov chain on a measurable space $\X$ with transition kernel and let $V:\X\r[1,+\infty)$. The Markov kernel is here considered as a linear bou…
A local limit theorem for densities of the additive component of a finite Markov Additive Process
Loïc Hervé, James Ledoux
In this paper, we are concerned with centered Markov Additive Processes $\{(X_t,Y_t)\}_{t\in\T}$ where the driving Markov process $\{X_t\}_{t\in\T}$ has a finite state space. Under…