Work

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

Year: 2025

Type: article

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

Source: Fundamenta Mathematicae

DOI: 10.4064/fm288-4-2025

Author: Yuki Takahashi

Institution: Saitama University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Japan Society for the Promotion of Science

Award: G2494054308