Guy Blachar

activity

20172025

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3 papers · 1 filter

math.PR2025

Phase transition for recurrence of stationary random walks on lamplighter groups

Itai Benjamini, Guy Blachar, Ariel Yadin

We introduce and study a class of random walks on lamplighter groups $H ≀ G$ , where $H$ is a nontrivial finitely generated group and $G$ is an infinite finitely generated group, c…

math.GR2025

The speed of random walks on semigroups

Guy Blachar, Be'eri Greenfeld

We construct, for each real number $0 \leq α \leq 1$ , a random walk on a finitely generated semigroup whose speed exponent is $α$ . We further show that the speed function of a random…

math.GR2025

Mixability of finite groups

Gideon Amir, Guy Blachar, Subhajit Ghosh +1

Say that a finite group $G$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on $G$ . We present conditions and obstr…