Alexander Fish

activity

20242026

most citedSimplices in large sets and directional expansion in ergodic actions

1 citations · 1 across the 5 of their papers we have counts for

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math.GR2026

Directional expansion in ergodic actions of countable groups

Michael Björklund, Alexander Fish

We study directional expansion for probability-measure-preserving actions of countable groups through a representation-theoretic group property, the cyclic escape property. An infi…

math.DS2026

Trace spectra of simplices in large sets

Michael Björklund, Alexander Fish, Shrey Sanadhya

Given an ordered tuple $v = (v_{0}, \dots, v_{d})$ of vectors in $R^{d}$ , let $A_{v} = [v_{1} - v_{0} \dots v_{d} - v_{0}]$ be its edge matrix. We prove that, in every fin…