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arXiv · 1709.10210

Sequential Gibbs Measures and Factor Maps

Giovane Ferreira·Krerley Oliveira
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Abstract

We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs measures and recent examples from the study of non-uniform hyperbolic dynamics. Extending previous results of Kempton-Pollicott and Ugalde-Chazottes, we show that the images of one block factor maps of a sequential Gibbs measure are also a sequential Gibbs measure, with the same sequence of Gibbs times. We obtain some estimates on the regularity of the potential of the image measure at almost every point.

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Giovane Ferreira, Krerley Oliveira. 2017-09-29. Sequential Gibbs Measures and Factor Maps. https://doi.org/10.1007/s10955-018-2061-6

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