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Remarks on Gibbs Measures for Fibred Systems

By Manfred Denker and Mikhail Gordin

Abstract

.87> T n x : Y x ! Y S n (x) . If we need to specify a metric on Y , it will be denoted by d(y; y 0 ). The main result in [4] is for fibred systems which have the expanding and exactness property fibrewise. The fibred system Y is called fibre expanding, if there exists a constant a ? 0 such T x is a local homeomorphisms on B(y; a) " Y x for every y 2 Y x ; x 2 X and expands the metric uniformly. Y is topologically exact along fibres if T N (B(x; ffl) " Y x ) oe Y S N (x) for any<

Topics: x, so
Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.29.8504
Provided by: CiteSeerX
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