English

A panorama of specification-like properties and their consequences

Dynamical Systems 2015-05-27 v2

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.

Keywords

Cite

@article{arxiv.1503.07355,
  title  = {A panorama of specification-like properties and their consequences},
  author = {Dominik Kwietniak and Martha Łącka and Piotr Oprocha},
  journal= {arXiv preprint arXiv:1503.07355},
  year   = {2015}
}

Comments

29 pages, 1 diagram, to appear in Contemporary Mathematics

R2 v1 2026-06-22T09:01:45.290Z