3 papers
math.PR2019
Hitting times, commute times, and cover times for random walks on random hypergraphs
Amine Helali, Matthias Löwe
We consider random walk on the structure given by a random hypergraph in the regime where there is a unique giant component. We give the asymptotics for hitting times, cover times,…
math.PR2018
The Convergence rate of the Gibbs sampler for the D Ising model via a geometric bound
Brice Franke, Amine Helali
We study the geometric bound introduced by Diaconis and Stroock of the Gibbs sampler for the two-dimensional Ising model with free boundary condition. The obtained result…
math.PR2018
The convergence rate of the Gibbs sampler for generalized D Ising model
Amine Helali
The rate of convergence of the Gibbs sampler for the generalized one-dimensional Ising model is determined by the second largest eigenvalue of its transition matrix in absolute val…