Substitution Markov chains and Martin boundaries
Probability
2017-06-01 v1
Abstract
Substitution Markov chains have been introduced [7] as a new model to describe molecular evolution. In this note, we study the associated Martin boundaries from a probabilistic and topological viewpoint. An example is given that, although having a boundary homeomorphic to the well-known coin tossing process, has a metric description that differs significantly.
Cite
@article{arxiv.1705.10830,
title = {Substitution Markov chains and Martin boundaries},
author = {David Koslicki and Manfred Denker},
journal= {arXiv preprint arXiv:1705.10830},
year = {2017}
}
Comments
23 pages, 2 figures