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math.DS2026
On some aspects of discrete groups acting ergodically on the boundary
Subhadip Dey, Mikołaj Frączyk, Sebastian Hurtado
We show that if is a real semisimple Lie group and is a discrete subgroup with slow growth, in the sense that its growth indicator function is smaller than , then …
math.DS2025
Infinitesimal containment and sparse factors of iid
Mikołaj Frączyk
We introduce infinitesimal weak containment for measure-preserving actions of a countable group : an action is infinitesimally contained in if the statistics of…
math.DS2023
Discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank
Mikolaj Fraczyk, Minju Lee
Let be a connected semisimple real algebraic group and be its Zariski dense discrete subgroup. We prove that if admits any finite Bowen-Margulis-Sullivan…