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arXiv · 1503.07355

A panorama of specification-like properties and their consequences

Dominik Kwietniak·Martha Łącka·Piotr Oprocha
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Abstract

We offer an overview of the specification property, its relatives and their consequences. We examine relations between specification-like properties and such notions as: mixing, entropy, the structure of the simplex of invariant measures, and various types of the shadowing property. We pay special attention to these connections in the context of symbolic dynamics.

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Dominik Kwietniak, Martha Łącka, Piotr Oprocha. 2015-05-26. A panorama of specification-like properties and their consequences. https://arxiv.org/abs/1503.07355

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