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math.DS2023
Ergodic Theorem for nonstationary random walks on compact abelian groups
Grigorii Monakov
We consider a nonstationary random walk on a compact metrizable abelian group. Under a classical strict aperiodicity assumption we establish a weak-* convergence to the Haar measur…
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.DS2020★ 1 cited
Probabilistic shadowing in linear skew products
Grigorii Monakov, Sergey Tikhomirov
We investigate the probability of shadowing of a random finite pseudotrajectory by an exact trajectory for linear skew products. We describe general conditions under which a random…