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math.DS2022
Hölder regularity of stationary measures
Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov
We consider smooth random dynamical systems defined by a distribution with a finite moment of the norm of the differential, and prove that under suitable non-degeneracy conditions…
math.CV2022
Convexity of complements of limit sets for holomorphic foliations on surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a holomorphic foliation on a compact Káhler surface with hyperbolic singularities and no foliation cycle. We prove that if the limit set of has zer…