Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra

  • Michel Cambrainha

    UNIRIO - Universidade Federal do Estado do Rio de Janeiro, Brazil
  • Carlos Matheus

    Université de Paris 13, Villetaneuse, France

Abstract

We show that the Lyapunov spectrum of almost every symplectic locally constant integrable cocycle over certain shifts of countable type is simple.

Cite this article

Michel Cambrainha, Carlos Matheus, Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra. Port. Math. 73 (2016), no. 3, pp. 171–176

DOI 10.4171/PM/1982