Romain Tessera

activity

20122026

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math.GR2025

Measure equivalence and sofic approximations

Thiebout Delabie, Juhani Koivisto, Romain Tessera

We introduce a technique for producing a measure coupling between two sofic groups from a family of maps between their sofic approximations. We exploit this to construct measure co…

math.GR2025

$L^{p}$ measure equivalence of nilpotent groups

Thiebout Delabie, Claudio Llosa Isenrich, Romain Tessera

We classify compactly generated locally compact groups of polynomial growth up to $L^{p}$ measure equivalence (ME) for all $p \leq 1$ . To achieve this, we combine rigidity results (pr…

Measure equivalence and sofic approximations

Lp measure equivalence of nilpotent groups

$L^{p}$ measure equivalence of nilpotent groups