Substitution Markov chains and Martin boundaries

David Koslicki, Manfred Heinz Denker

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1963-1985
Number of pages23
JournalRocky Mountain Journal of Mathematics
Volume46
Issue number6
DOIs
StatePublished - Jan 1 2016

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Coin tossing
Martin Boundary
Molecular Evolution
Homeomorphic
Substitution
Markov chain
Metric
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Koslicki, David ; Denker, Manfred Heinz. / Substitution Markov chains and Martin boundaries. In: Rocky Mountain Journal of Mathematics. 2016 ; Vol. 46, No. 6. pp. 1963-1985.
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Substitution Markov chains and Martin boundaries. / Koslicki, David; Denker, Manfred Heinz.

In: Rocky Mountain Journal of Mathematics, Vol. 46, No. 6, 01.01.2016, p. 1963-1985.

Research output: Contribution to journalArticle

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