Lyapunov Spectra for Kms States

  title={Lyapunov Spectra for Kms States},
  author={Manuel Stadlbauer},
We study relations between (H,β)–KMS states on Cuntz–Krieger algebras and the dual of the Perron–Frobenius operator L∗ −βH . Generalising the well– studied purely hyperbolic situation, we obtain under mild c onditions that for an expansive dynamical system there is a one–one corresponden ce between(H,β)– KMS states and eigenmeasures of L∗ −βH for the eigenvalue1. We then consider representations of Cuntz–Krieger algebras which are induc e by Markov fibred systems, and show that if the… CONTINUE READING


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