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Creators/Authors contains: "Monakov, Grigorii"

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  1. (, Groups, Geometry, and Dynamics)
    We consider a non-stationary sequence of independent random isometries of a compact metrizable space. Assuming that there are no proper closed subsets with deterministic image, we establish a weak-* convergence to the unique invariant under isometries measure, ergodic theorem and large deviation type estimate. We also show that all the results can be carried over to the case of a random walk on a compact metrizable group. In particular, we prove a non-stationary analog of classical Itô–Kawada theorem and give a new alternative proof for the stationary case. 
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    Free, publicly-accessible full text available January 27, 2026
  2. (, Proceedings of the American Mathematical Society)
    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 measure, Ergodic Theorem and Large Deviation Type Estimate. 
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  3. ; (, Journal of Dynamics and Differential Equations)
    Abstract We prove the nonstationary bounded distortion property for$$C^{1 + \varepsilon }$$ C 1 + ε smooth dynamical systems on multidimensional spaces. The results we obtain are motivated by potential application to study of spectral properties of discrete Schrödinger operators with potentials generated by Sturmian sequences. 
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