Thomas Bonis

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math.PR2024

Random walks on simplicial complexes

Thomas Bonis, Laurent Decreusefond, Viet Chi Tran +1

The notion of Laplacian of a graph can be generalized to simplicial complexes and hypergraphs, and contains information on the topology of these structures. Even for a graph, the c…

math.PR2022

Stein's method for steady-state diffusion approximation in Wasserstein distance

Thomas Bonis

We provide a general steady-state diffusion approximation result which bounds the Wasserstein distance between the reversible measure $μ$ of a diffusion process and the measure $ν$ …

math.PR2019

Stein's method for normal approximation in Wasserstein distances with application to the multivariate Central Limit Theorem

Thomas Bonis

We use Stein's method to bound the Wasserstein distance of order $2$ between a measure $ν$ and the Gaussian measure using a stochastic process $(X_{t})_{t \geq 0}$ such that $X_{t}$ is…