Exponential Decay of Correlations for Gibbs Measures and Semiflows over C1+alpha Piecewise Expanding Maps

Daltro Diego; Varandas Paulo

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Exponential Decay of Correlations for Gibbs Measures and Semiflows over C1+alpha Piecewise Expanding Maps

机译：GIBBS措施和半流量的指数衰减在C1 + Alpha分段扩展地图上

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We consider suspension (semi)flows over C1+alpha full-branch Markov piecewise expanding interval maps and piecewise hyperbolic maps and prove exponential decay of correlations with older continuous potentials. As a consequence, typical codimension one attractors of C1+alpha Axiom A flows have exponential decay of correlations with respect to any equilibrium state associated to Holder continuous potentials. In the case of suspension semiflows over piecewise expanding interval maps, the argument uses a construction of certain partitions which are adapted to Gibbs measures, even those for which the Federer property fails.

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《Annales Henri Poincare》 |2021年第7期|共23页
作者
Daltro Diego; Varandas Paulo;
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Univ Fed Bahia Inst Matemat &

Estat Av Ademar de Barros S-N BR-40170110 Salvador BA Brazil;

Univ Porto CMUP Porto Portugal;

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正文语种 eng
中图分类理论物理学;
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Exponential Decay of Correlations for Gibbs Measures and Semiflows over C1+alpha Piecewise Expanding Maps

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