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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 matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in…
math.DS2024
Log Hölder continuity of the rotation number
Anton Gorodetski, Victor Kleptsyn
We consider one-parameter families of smooth circle cocycles over an ergodic transformation in the base, and show that their rotation numbers must be log-Hölder regular with respec…
math.SP2024
Non-stationary Anderson Localization
Anton Gorodetski, Victor Kleptsyn
We consider discrete Schrödinger operators on with bounded random but not necessarily identically distributed values of the potential. We prove spectral locali…