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arXiv · 1705.10830

Substitution Markov chains and Martin boundaries

David Koslicki·Manfred Denker
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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.

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David Koslicki, Manfred Denker. 2017-05-30. Substitution Markov chains and Martin boundaries. https://doi.org/10.1216/rmj-2016-46-6-1963

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