• Corpus ID: 251402503

Upper bound on the regularity of the Lyapunov exponent for random products of matrices

  title={Upper bound on the regularity of the Lyapunov exponent for random products of matrices},
  author={Jamerson Bezerra and Pedro Duarte},
We prove that if µ is a finitely supported measure on SL 2 ( R ) with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function is not α -H¨older around µ for any α exceeding the Shannon entropy of µ over the Lyapunov exponent of µ . 

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