1 citations · 1 across the 3 of their papers we have counts for
5 papers
Random semigroups á la Gromov
Guy Blachar, Be'eri Greenfeld, Margaret Shideler
We introduce a model of random semigroups analogous to Gromov's density model for random groups. For a fixed number of generators and a density parameter , we…
The speed of random walks on semigroups
Guy Blachar, Be'eri Greenfeld
We construct, for each real number , a random walk on a finitely generated semigroup whose speed exponent is . We further show that the speed function of a random…
Asymptotic Burnside laws
Gil Goffer, Be'eri Greenfeld, Alexander Yu. Olshanskii
We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generat…
A note on the Zariski topology on groups
Gil Goffer, Be'eri Greenfeld
We show that the semigroup Zariski topology on a group can be strictly coarser than the group Zariski topology on it, answering a question of Elliott, Jonusas, Mesyan, Mitchell, Mo…
Probabilistic Burnside groups
Gil Goffer, Be'eri Greenfeld
We prove that there exists a finitely generated group that satisfies a group law with probability 1 but does not satisfy any group law. More precisely, we construct a finitely gene…