Guy Blachar

collaborators

6 papers

math.CO2026

Edge-regular graphs with non-negative curvature have polynomial growth

Guy Blachar, HervÃ© Pajot, Justin Salez

A long-standing conjecture in the emerging discrete Bakry-Ãmery theory asserts that bounded-degree graphs satisfying $CD (0, \infty)$ have polynomial growth. In the present…

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.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.RA2025

Rank-stability of polynomial equations

Tomer Bauer, Guy Blachar, Be'eri Greenfeld

Extending the thoroughly studied theory of group stability, we study Ulam stability type problems for associative and Lie algebras; namely, we investigate obstacles to rank-approxi…

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…