Criterion for the Finiteness of the Group in the Genus 0 Case

Fayolle, Guy; Iasnogorodski, Roudolf; Malyshev, Vadim

doi:10.1007/978-3-319-50930-3_7

Guy Fayolle¹⁸,
Roudolf Iasnogorodski¹⁹ &
Vadim Malyshev²⁰

Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 40))

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Abstract

The goal of this chapter is to derive a concrete necessary and sufficient condition for the finiteness of \(\mathcal{H}\) (the group of the random walk introduced in Definition 2.4.2) in the genus 0 case.

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Authors and Affiliations

INRIA Paris-Rocquencourt, Le Chesnay, France
Guy Fayolle
Paris, France
Roudolf Iasnogorodski
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Vadim Malyshev

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Guy Fayolle
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Roudolf Iasnogorodski
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Vadim Malyshev
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Correspondence to Guy Fayolle .

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Fayolle, G., Iasnogorodski, R., Malyshev, V. (2017). Criterion for the Finiteness of the Group in the Genus 0 Case. In: Random Walks in the Quarter Plane. Probability Theory and Stochastic Modelling, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-50930-3_7

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DOI: https://doi.org/10.1007/978-3-319-50930-3_7
Published: 07 February 2017
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-50928-0
Online ISBN: 978-3-319-50930-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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