Ronan Lauvergnat

activity

20162024

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

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.PRShow all

5 papers · 1 filter

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.PR2017

The survival probability of critical and subcritical branching processes in finite state space Markovian environment

Ion Grama, Ronan Lauvergnat, Emile Le Page

Let $(Z_{n})_{n ⩾ 0}$ be a branching process in a random environment defined by a Markov chain $(X_{n})_{n ⩾ 0}$ with values in a finite state space $X$ starting…

math.PR2017

Conditioned local limit theorems for random walks defined on finite Markov chains

Ion Grama, Ronan Lauvergnat, Emile Le Page

Let $(X_{n})_{n \geq 0}$ be a Markov chain with values in a finite state space $X$ starting at $X_{0} = x \in X$ and let $f$ be a real function defined on $X$ . Set…

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),…

math.PR2016

Limit theorems for affine Markov walks conditioned to stay positive

Ion Grama, Ronan Lauvergnat, Émile Le Page

Consider the real Markov walk $S_{n} = X_{1} + \dots + X_{n}$ with increments $(X_{n})_{n \geq 1}$ defined by a stochastic recursion starting at $X_{0} = x$ . For a starting point $y > 0$ …