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Existence uniqueness and ratio decomposition for Gibbs states via duality

By A. A. Pinto and D. A. (David A.) Rand

Abstract

We give an elementary proof of existence and uniqueness of Gibbs states for Hölder weight systems on subshifts of finite type. This uses a notion of duality for such subshifts. The approach of Paterson [2] is used to construct a measure with a prescribed Jacobian and the duality is used to produce an invariant measure from this

Topics: QA
Publisher: Cambridge University Press
Year: 2001
OAI identifier: oai:wrap.warwick.ac.uk:820

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Citations

  1. (1983). Conformal Dynamical Systems (Springer doi
  2. (1975). Equilibrium States and the Ergodic Theory of Axiom A Diffeomorphisms doi
  3. (1999). Geometric measures for hyperbolic surface dynamics.
  4. (1976). The limit set of a Fuchsian group. doi

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