2022/01/04 by Catalina Freijo, Karina Marin, Freijo, Catalina +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.1142/s0219493723500272
We consider pinching cocycles taking values in the space of homeomorphisms of the circle over an hyperbolic base. Using the invariance principle of Malicet, we prove that the cocycles having nonzero exponents of contraction are dense. In this paper, we generalize some common notions an results known of linear cocycles and cocycles of diffeomorphisms, to the nonlinear non-differentiable case.