Showing 2023Show all
2 papers · 1 filter
math.DS2023
Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to add…
math.DS2023
Random Young towers and quenched decay of correlations for predominantly expanding multimodal circle maps
Matheus M. Castro, Giuseppe Tenaglia
In this paper, we study the random dynamical system generated by a family of maps $f_{ω_0…