2025/11/17 by De Simoi, Jacopo, Fernando, Kasun, Fleming-Vázquez, Nicholas
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2511.13919
We consider a class of fast-slow C4 partially hyperbolic systems on \mathbbT2 given by ε-perturbations of maps F(x,θ)=(f(x,θ),θ) where f(⋅,θ) are C4 expanding maps of the circle. For sufficiently small ε and an open set of perturbations we prove existence and uniqueness of a physical measure and exponential decay of correlations for sufficiently smooth observables with explicit almost optimal bounds on the decay rate. Our result complements previous work by De Simoi and Liverani, which studied the case of mostly contracting centre.