RANDOM MOBIUS DYNAMICS ON THE UNIT DISC AND PERTURBATION THEORY FOR LYAPUNOV EXPONENTS

Dorsch F, Schulz-Baldes H (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Discrete and Continuous Dynamical Systems-Series B American Institute of Mathematical Sciences (AIMS)

Pages Range: 945-976

DOI: 10.3934/dcdsb.2021076

Abstract

Randomly drawn 2 x 2 matrices induce a random dynamics on the Riemann sphere via the Mobius transformation. Considering a situation where this dynamics is restricted to the unit disc and given by a random rotation perturbed by further random terms depending on two competing small parameters, the invariant (Furstenberg) measure of the random dynamical system is determined. The results have applications to the perturbation theory of Lyapunov exponents which are of relevance for one-dimensional discrete random Schrodinger operators.

Authors with CRIS profile

Florian Dorsch Lehrstuhl für Darstellungstheorie Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Dorsch, F., & Schulz-Baldes, H. (2022). RANDOM MOBIUS DYNAMICS ON THE UNIT DISC AND PERTURBATION THEORY FOR LYAPUNOV EXPONENTS. Discrete and Continuous Dynamical Systems-Series B, 945-976. https://doi.org/10.3934/dcdsb.2021076

MLA:

Dorsch, Florian, and Hermann Schulz-Baldes. "RANDOM MOBIUS DYNAMICS ON THE UNIT DISC AND PERTURBATION THEORY FOR LYAPUNOV EXPONENTS." Discrete and Continuous Dynamical Systems-Series B (2022): 945-976.

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