Random Young towers and quenched decay of correlations for predominantly expanding multimodal circle maps
Abstract
Abstract In this paper, we study the random dynamical system f ω n generated by a family of maps { f ω 0 : S 1 → S 1 } ω 0 ∈ [ − ε , ε ] , f ω 0 ( x ) = α ξ ( x + ω 0 ) + a ( mod 1 ) , where ξ : S 1 → R is a non-degenerate map, a ∈ [ 0 , 1 ) , and α , ε > 0 . Fixing a constant c ∈ ( 0 , 1 ) , we show that for α sufficiently large and for ε > α c − 1 , the random dynamical system f
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Nonlinearity
- Publisher
- IOP Publishing
- Volume
- 39
- Issue
- 1
- Pages
- 015026–015026
- Publication date
- 22 January 2026
- Language
- EN