Tom Hutchcroft

activity

20162025

most citedThe critical two-point function for long-range percolation on the hierarchical lattice

5 citations · 6 across the 14 of their papers we have counts for

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math.GR2024

Infinite stationary measures of co-compact group actions

Mohammedsaid Alhalimi, Tom Hutchcroft, Minghao Pan +2

Let $Γ$ be a finitely generated group, and let $μ$ be a nondegenerate, finitely supported probability measure on $Γ$ . We show that every co-compact $Γ$ action on a locally compact…

math.GR2018

Kazhdan groups have cost 1

Tom Hutchcroft, Gábor Pete

We prove that every countably infinite group with Kazhdan's property (T) has cost 1, answering a well-known question of Gaboriau. It remains open if they have fixed price 1.