A comment on the definition of relative pressure

Details A comment on the definition of relative pressure A comment on the definition of relative pressure

2004-03-09

arxiv.org/abs/math/0403163v1

Mathematics

Dynamical Systems

Scientific paper

We show that two natural definitions of the relative pressure function for a
locally constant potential function and a factor map from a shift of finite
type coincide almost everywhere with respect to every invariant measure. With a
suitable extension of one of the definitions, the same holds true for any
continuous potential function.

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