• Analiticity of the Lyapunov exponents of random products of quasi-periodic cocycles 

      Bezerra, Jamerson; Sánchez Chavarría, Adriana Cristina; Tall, El Hadji Yaya (2021-11-01)
      We show that the top Lyapunov exponent LE(p) associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever LE(p) is simple. Moreover if the spectrum at ...
    • Contributions to the continuity problem for Lyapunov exponents 

      Sánchez Chavarría, Adriana Cristina (2018)
      O objetivo deste trabalho é estudar a continuidade e a semi-continuidade dos expoentes de Lyapunov em dois contextos diferentes. O primeiro diz respeito a cociclos lineares sobre dinâmicas parcialmente hiperbólicas. É ...
    • Equilibrium states for maps isotopic to Anosov 

      Álvarez, Carlos F.; Sánchez Chavarría, Adriana Cristina; Varão, Ana Régis (2021)
      In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on T4, with two-dimensional center foliation. To do so ...
    • Lyapunov exponents of probability distributions with non-compact support 

      Sánchez Chavarría, Adriana Cristina; Viana, Marcelo (2020)
      A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
    • The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open 

      Backes, Lucas Henrique; Poletti, Mauricio; Sánchez Chavarría, Adriana Cristina (2018)
      We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we ...