2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.PR2026
Mixing profile for Glauber dynamics of the discrete Gaussian Free Field starting from super-harmonic functions
Alexandre Bristiel
We study the convergence rate of the heat-bath Glauber dynamics for the Discrete Gaussian Free Field on arbitrary connected finite graphs. We show that, when starting from super-ha…
math.PR2022★ 2 cited
Separation cutoff for Activated Random Walks
Alexandre Bristiel, Justin Salez
We consider Activated Random Walks on arbitrary finite networks, with particles being inserted at random and absorbed at the boundary. Despite the non-reversibility of the dynamics…
math.PR2021★ 2 cited
Entropy inequalities for random walks and permutations
Alexandre Bristiel, Pietro Caputo
We consider a new functional inequality controlling the rate of relative entropy decay for random walks, the interchange process and more general block-type dynamics for permutatio…