Émile Le Page

most citedOn the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains

15 citations · 17 across the 3 of their papers we have counts for

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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.PR2024★ 15 cited

On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains

Ion Grama, Émile Le Page, Marc Peigné

We prove an invariance principle for non-stationary random processes and establish a rate of convergence under a new type of mixing condition. The dependence is exponentially decay…

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),…