Almost-additive thermodynamic formalism for countable Markov shifts

Details Almost-additive thermodynamic formalism for countable Markov shifts Almost-additive thermodynamic formalism for countable Markov shifts

2011-06-03

arxiv.org/abs/1106.0720v1

Nonlinearity 25, 165-191 (2012)

Mathematics

Dynamical Systems

Scientific paper

We introduce a definition of pressure for almost-additive sequences of
continuous functions defined over (non-compact) countable Markov shifts. The
variational principle is proved. Under certain assumptions we prove the
existence of Gibbs and equilibrium measures. Applications are given to the
study of maximal Lypaunov exponents of product of matrices.

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