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math.PR2020
Rates of convergence for Gibbs sampling in the analysis of almost exchangeable data
Balázs Gerencsér, Andrea Ottolini
Motivated by de Finetti's representation theorem for almost exchangeable arrays, we want to sample from a distribution with density proportional to $\exp(-A…
math.PR2019
Analysis of a non-reversible Markov chain speedup by a single edge
Balázs Gerencsér
We present a Markov chain example where non-reversibility and an added edge jointly improve mixing time: when a random edge is added to a cycle of vertices and a Markov chain w…
math.PR2017
Entropy inequalities for factors of IID
Ágnes Backhausz, Balázs Gerencsér, Viktor Harangi
This paper is concerned with certain invariant random processes (called factors of IID) on infinite trees. Given such a process, one can assign entropies to different finite subgra…