Jean-Baptiste Boyer

activity

20152017

most citedOn the affine random walk on the torus

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.PR2017★ 2 cited

On the affine random walk on the torus

Jean-baptiste Boyer

Let $μ$ be a borelian probability measure on $G := SL_{d} (Z) ⋉ T^{d}$ . Define, for $x \in T^{d}$ , a random walk starting at $x$ denoting f…

math.PR2016

The rate of convergence for the renewal theorem in $R^{d}$

Jean-Baptiste Boyer

Let $ρ$ be a borelian probability measure on $SL_{d} (R)$ . Consider the random walk $(X_{n})$ on $R^{d} ∖ {0}$ defined by $ρ$ : for any $x\in \mathbb{R}…

math.PR2016

Central limit theorem and law of the iterated logarithm for the linear random walk on the torus

Jean-Baptiste Boyer

Let $ρ$ be a probability measure on $SL_d (Z)$ and consider the random walk defined by $ρ$ on the torus $T^{d} = R^{d} / Z^{d}$ . Bourgain, Furm…

math.PR2015

The speed of convergence in the renewal theorem

Jean-Baptiste Boyer

In this article we study a diophantine property of probability measures on R. We will always assume that the considered measures have an exponential moment and a drift. We link thi…

math.PR2015

Induction of Markov chains, drift functions and application to the LLN, the CLT and the LIL with a random walk on $R_{+}$ as an example

Jean-Baptiste Boyer

Let $(X_{n})$ be a Markov chain on a standard borelian space $X$ . Any stopping time $τ$ such that $E_{x} τ$ is finite for all $x \in X$ induces a Markov chain i…

On the affine random walk on the torus

The rate of convergence for the renewal theorem in Rd

Central limit theorem and law of the iterated logarithm for the linear random walk on the torus

The speed of convergence in the renewal theorem

Induction of Markov chains, drift functions and application to the LLN, the CLT and the LIL with a random walk on R+​ as an example

The rate of convergence for the renewal theorem in $R^{d}$

Induction of Markov chains, drift functions and application to the LLN, the CLT and the LIL with a random walk on $R_{+}$ as an example