Grigorii Monakov

collaborators

3 papers

math.DS2026

Dynamical Lifshitz Tails

Íris Emilsdóttir, Grigorii Monakov

We consider one-parameter families of random circle diffeomorphisms $g_{E, y}$ for which the unperturbed map $g_{0, 0 ˉ}$ has a fixed point of order $2 k$ and the dependence on th…

math.PR2024

Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices

Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov

We prove Central Limit Theorem for non-stationary random products of $S L (2, R)$ matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in…

math.DS2024

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…