Michael Chapman

activity

20162020

most citedCutoff on Ramanujan complexes and classical groups

4 citations · 5 across the 4 of their papers we have counts for

collaborators

5 papers

math.GR2020★ 1 cited

Stability of approximate group actions: uniform and probabilistic

Oren Becker, Michael Chapman

We prove that every uniform approximate homomorphism from a discrete amenable group into a symmetric group is uniformly close to a homomorphism into a slightly larger symmetric gro…

math.PR2019★ 4 cited

Cutoff on Ramanujan complexes and classical groups

Michael Chapman, Ori Parzanchevski

The total-variation cutoff phenomenon has been conjectured to hold for simple random walk on all transitive expanders. However, very little is actually known regarding this conject…

math.CO2018

Expander Graphs -- Both Local and Global

Michael Chapman, Nati Linial, Yuval Peled

Let $G = (V, E)$ be a finite graph. For $v \in V$ we denote by $G_{v}$ the subgraph of $G$ that is induced by $v$ 's neighbor set. We say that $G$ is $(a, b)$ -regular for $a > b > 0$ integers,…

math.RA2016

Symbol $p$ -Algebras of Prime Degree and their $p$ -Central Subspaces

Adam Chapman, Michael Chapman

We prove that the maximal dimension of a $p$ -central subspace of the generic symbol $p$ -algebra of prime degree $p$ is $p + 1$ . We do it by proving the following number theoretic fac…

math.GR2016

Filtrations of free groups arising from the lower central series

Michael Chapman, Ido Efrat

We make a systematic study of filtrations of a free group F defined as products of powers of the lower central series of F. Under some assumptions on the exponents, we characterize…

Stability of approximate group actions: uniform and probabilistic

Cutoff on Ramanujan complexes and classical groups

Expander Graphs -- Both Local and Global

Symbol p-Algebras of Prime Degree and their p-Central Subspaces

Filtrations of free groups arising from the lower central series

Symbol $p$ -Algebras of Prime Degree and their $p$ -Central Subspaces