Peierls barrier for countable Markov shifts
Dynamical Systems
2019-04-23 v1
Abstract
We prove the existence of calibrated uniformly continuous subactions for coercive potentials with bounded variation defined on topologically transitive Markov shifts with countable alphabet through the construction of the Peierls barrier in this context. Also, we characterize the existence of bounded calibrated subactions in the same context.
Cite
@article{arxiv.1904.09655,
title = {Peierls barrier for countable Markov shifts},
author = {Jose Chauta and Ricardo Freire},
journal= {arXiv preprint arXiv:1904.09655},
year = {2019}
}
Comments
20 pages, submitted