Guy Blachar

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20242026

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4 papers · 1 filter

math.GR2026

Small entropy doubling for random walks and polynomial growth

Guy Blachar

Gromov's theorem states that a finitely generated group has polynomial growth if and only if it is virtually nilpotent. A key ingredient in its proof is the small doubling property…

math.GR2025

The speed of random walks on semigroups

Guy Blachar, Be'eri Greenfeld

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

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…

math.GR2024

Profinite rigidity of lamplighter groups

Guy Blachar

We show that the lamplighter groups $(Z / p Z)^{n} ≀ Z$ , where $p$ is prime and $n \geq 1$ is a positive integer, are profinitely rigid.