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math.DS2023
Non-stationary Itô-Kawada and Ergodic Theorems for random isometries
Grigorii Monakov
We consider a nonstationary sequence of independent random isometries of a compact metrizable space. Assuming that there are no proper closed subsets with deterministic image we es…
math.DS2023
Generalized Bounded Distortion Property
Gregory Borissov, Grigorii Monakov
We prove the Nonstationary Bounded Distortion Property for smooth dynamical systems on multidimensional spaces. The results we obtain are motivated by potenti…