2 papers
math.DS2024
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.DS2024
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…