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Polynomials Associated with Finite Markov Chains

Authors :
Philippe Biane
Laboratoire d'Informatique Gaspard-Monge (LIGM)
Centre National de la Recherche Scientifique (CNRS)-Fédération de Recherche Bézout-ESIEE Paris-École des Ponts ParisTech (ENPC)-Université Paris-Est Marne-la-Vallée (UPEM)
Lecture Notes in Mathematics
Source :
Séminaire de Probabilités XLVII, Lecture Notes in Mathematics, 2137, Springer, Berlin, 2015., Séminaire de Probabilités XLVII, Lecture Notes in Mathematics, 2137, Springer, Berlin, 2015., Springer, pp.249-262, 2015, Lecture Notes in Mathematics ISBN: 9783319185842
Publication Year :
2015
Publisher :
HAL CCSD, 2015.

Abstract

International audience; Given a finite Markov chain, we investigate the first minors of the transition matrix of a lifting of this Markov chain to covering trees. In a simple case we exhibit a nice factorisation of these minors, and we conjecture that it holds more generally.

Details

Language :
English
ISBN :
978-3-319-18584-2
ISBNs :
9783319185842
Database :
OpenAIRE
Journal :
Séminaire de Probabilités XLVII, Lecture Notes in Mathematics, 2137, Springer, Berlin, 2015., Séminaire de Probabilités XLVII, Lecture Notes in Mathematics, 2137, Springer, Berlin, 2015., Springer, pp.249-262, 2015, Lecture Notes in Mathematics ISBN: 9783319185842
Accession number :
edsair.doi.dedup.....3bced1c782b907b5f8b8615c8265e308