Work

Monotone Families of Circle Diffeomorphisms Driven by Expanding Circle Maps

Year: 2024

Type: article

Abstract: We consider monotone families of circle diffeomorphisms forced by the strongly chaotic circle endomorphisms $$x\mapsto bx \mod 1$$ x ↦ b x mod 1 , where the integer b is large. We obtain estimates of the fibered Lyapunov exponents and show that in the limit as b tends to infinity, they approach the values of the Lyapunov exponents for the corresponding random case. The estimates are based on a control of the distribution of the iterates of almost every point, up to a fixed (small) scale, depending on b.

Source: Communications in Mathematical Physics

DOI: 10.1007/s00220-024-05086-4

Authors: Kristian Bjerklöv, Raphaël Krikorian

Institutions: KTH Royal Institute of Technology, École Polytechnique, Centre de Mathématiques Laurent Schwartz

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

Funders: Agence Nationale de la Recherche, Kungliga Tekniska Högskolan, Vetenskapsrådet