Ronan Lauvergnat

most citedLimit theorems for critical branching processes in a finite state space Markovian environment

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2024★ 2 cited

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

Ion Grama, Ronan Lauvergnat, Émile Le Page

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 $X$ . Let $ S_n…

math.PR2016

Limit theorems for Markov walks conditioned to stay positive under a spectral gap assumption

Ion Grama, Ronan Lauvergnat, Émile Le Page

Consider a Markov chain $(X_{n})_{n ⩾ 0}$ with values in the state space $X$ . Let $f$ be a real function on $X$ and set $S_{0} = 0,$ $S_n = f(X_1)+\cdots + f(X_n),…