Countable state shifts and uniqueness of g-measures
Dynamical Systems
2014-12-02 v1 Probability
Abstract
In this paper we present a new approach to studying g-measures which is based upon local absolute continuity. We extend the result in [11] that square summability of variations of g-functions ensures uniqueness of g-measures. The first extension is to the case of countably many symbols. The second extension is to some cases where , relaxing the earlier requirement in [11] that inf g>0.
Keywords
Cite
@article{arxiv.math/0509109,
title = {Countable state shifts and uniqueness of g-measures},
author = {Anders Johansson and Anders Öberg and Mark Pollicott},
journal= {arXiv preprint arXiv:math/0509109},
year = {2014}
}
Comments
11 pages