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Random walk on the Poincaré disk induced by a group of Möbius transformations

We consider a discrete-time random motion, Markov chain on the Poincaré disk. In the basic variant of the model a particle moves along certain circular arcs within the disk, its location is determined by a composition of random Möbius transformations. We exploit an isomorphism between the underlying...

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Bibliografiske detaljer
Udgivet i:Markov Process Relat Fields
Main Authors: McCarthy, Charles, Nop, Gavin, Rastegar, Reza, Roitershtein, Alexander
Format: Artigo
Sprog:Inglês
Udgivet: 2019
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC6999048/
https://ncbi.nlm.nih.gov/pubmed/32021054
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