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- W1999770813 abstract "We consider a topological dynamical system T: Y→Y on a metric space Y which forms a fibre bundle over another dynamical system. If T is fibrewise expanding and exact along fibres and if ϕ is a Hölder continuous function we prove the existence of a system of conditional measures (called a family of Gibbs measures) where the Jacobian is determined by ϕ. This theorem reduces to Ruelle's Perron–Frobenius theorem when the base of the fibred system consists of a single point. The method of proof does not use any form of symbolic representation. We also study continuity properties of a family of Gibbs measures (over the base) and give applications to the equilibrium theory of higher dimensional complex dynamics." @default.
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- W1999770813 date "1999-12-01" @default.
- W1999770813 modified "2023-10-16" @default.
- W1999770813 title "Gibbs Measures for Fibred Systems" @default.
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- W1999770813 doi "https://doi.org/10.1006/aima.1999.1843" @default.
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