Positive Lyapunov exponent for some Schrödinger cocycles over strongly expanding circle endomorphisms

DOI10.1007/s00220-020-03810-4zbMath1451.37077arXiv1912.06063OpenAlexW3043759418MaRDI QIDQ2200879

Kristian Bjerklöv

Publication date: 23 September 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06063

zbMATH Keywords

potential functionsSchrödinger cocycleexpanding map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (6)

Positive Lyapunov exponent for some Schrödinger cocycles over multidimensional strongly expanding torus endomorphisms ⋮ The almost sure essential spectrum of the doubling map model is connected ⋮ Circle maps driven by a class of uniformly distributed sequences on T$\mathbb {T}$ ⋮ Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent ⋮ The Schwartzman group of an affine transformation ⋮ On the Lyapunov exponents for a class of circle diffeomorphisms driven by expanding circle endomorphisms

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