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Dynamical Lifshitz Tails
Íris Emilsdóttir, Grigorii Monakov
We consider one-parameter families of random circle diffeomorphisms for which the unperturbed map has a fixed point of order and the dependence on th…
Log-Hölder regularity of stationary measures
Grigorii Monakov
We consider Lipschitz and Hölder continuous random dynamical systems defined by a distribution with a finite logarithmic moment. We prove that under suitable non-degeneracy conditi…
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…
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…