A. Gorodetski

activity

20072026

most citedThe Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

82 citations · 443 across the 37 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.SP2018★ 12 cited

Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum

David Damanik, Jake Fillman, Anton Gorodetski

We construct multidimensional almost-periodic Schrödinger operators whose spectrum has zero lower box counting dimension. In particular, the spectrum in these cases is a generalize…

math.DS2018★ 5 cited

Parametric Furstenberg Theorem on Random Products of $S L (2, R)$ matrices

Anton Gorodetski, Victor Kleptsyn

We consider random products of $S L (2, R)$ matrices that depend on a parameter in a non-uniformly hyperbolic regime. We show that if the dependence on the parameter is mono…

Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum

Parametric Furstenberg Theorem on Random Products of SL(2,R) matrices

Parametric Furstenberg Theorem on Random Products of $S L (2, R)$ matrices