Subshifts of quasi-finite type
Dynamical Systems
2009-11-10 v2
Abstract
We introduce subshifts of quasi-finite type as a generalization of the well-known subshifts of finite type. This generalization is much less rigid and therefore contains the symbolic dynamics of many non-uniform systems, e.g., piecewise monotonic maps of the interval with positive entropy. Yet many properties remain: existence of finitely many ergodic invariant probabilities of maximum entropy; lots of periodic points; meromorphic extension of the Artin-Mazur zeta function.
Keywords
Cite
@article{arxiv.math/0305164,
title = {Subshifts of quasi-finite type},
author = {Jerome Buzzi},
journal= {arXiv preprint arXiv:math/0305164},
year = {2009}
}
Comments
added examples, more precise estimates on periodic points and classification