Harmonicity of the Lyapunov exponent for monotonic cocycles and a generalized Thouless formula

In the case of Schrödinger cocycles, by the so-called Thouless formula the harmonicity of the Lyapunov exponent is equivalent to uniform hyperbolicity. In this paper we consider monotonic cocycles and give a sufficient condition for the harmonicity of the

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Publication Details

Journal
Fundamenta Mathematicae
Published
2025-01-01
DOI
https://doi.org/10.4064/fm288-4-2025
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Harmonicity of the Lyapunov exponent for monotonic cocycles and a generalized Thouless formula

Yuki Takahashi
Fundamenta Mathematicae
Quantum chaos and dynamical systems
article

Harmonicity of the Lyapunov exponent for monotonic cocycles and a generalized Thouless formula

Yuki Takahashi
article en

Abstract

In the case of Schrödinger cocycles, by the so-called Thouless formula the harmonicity of the Lyapunov exponent is equivalent to uniform hyperbolicity. In this paper we consider monotonic cocycles and give a sufficient condition for the harmonicity of the

Fundamenta MathematicaeVol. 269(3)
Saitama University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 89%
Quantum chaos and dynamical systems
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Harmonicity of the Lyapunov exponent for monotonic cocycles and a generalized Thouless formula — Yuki Takahashi · Fundamenta Mathematicae (2025) | TGRS Research Map | TGRS