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math.SP2026
Generalized Aubry-André formula and continuity of the intersection spectrum of the Almost Mathieu operator
Anton Gorodetski, Victor Kleptsyn
We consider the spectrum of the Almost Mathieu operator (AMO) and show that the moments of the restriction of the Lebesgue measure to the intersection spectrum $\text{Leb}|_{Σ_{α,λ…
math.SP2025
Localization for Random Schrödinger Operators Defined by Block Factors
David Damanik, Anton Gorodetski, Victor Kleptsyn
We consider discrete one-dimensional Schrödinger operators with random potentials obtained via a block code applied to an i.i.d. sequence of random variables. It is shown that, alm…
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…