Mikołaj Frączyk

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math.DS2025

Infinitesimal containment and sparse factors of iid

MikoÅaj FrÄ czyk

We introduce infinitesimal weak containment for measure-preserving actions of a countable group $I^$ : an action $(X, I^¼)$ is infinitesimally contained in $(Y, I^½)$ if the statistics…

math.DS2024

Discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank

Mikolaj Fraczyk, Minju Lee

Let $G$ be a connected semisimple real algebraic group and $I^ < G$ be its Zariski dense discrete subgroup. We prove that if $I^\ G$ admits any finite Bowen-Margulis-Sulliva…