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Mathematics > Probability

arXiv:1406.7469 (math)
[Submitted on 29 Jun 2014 (v1), last revised 22 Jan 2015 (this version, v2)]

Title:About a possible analytic approach for walks in the quarter plane with arbitrary big jumps

Authors:Guy Fayolle, Kilian Raschel
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Abstract:In this note, we consider random walks in the quarter plane with arbitrary big jumps. We announce the extension to that class of models of the analytic approach of [G. Fayolle, R. Iasnogorodski, and V. Malyshev, Random walks in the quarter plane, Springer-Verlag, Berlin (1999)], initially valid for walks with small steps in the quarter plane. New technical challenges arise, most of them being tackled in the framework of generalized boundary value problems on compact Riemann surfaces.
Comments: 7 pages, 3 figures, extended abstract
Subjects: Probability (math.PR); Combinatorics (math.CO); Complex Variables (math.CV)
Cite as: arXiv:1406.7469 [math.PR]
  (or arXiv:1406.7469v2 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1406.7469
Journal reference: Comptes rendus Mathematique 353 (2015) 89-94
Related DOI: https://doi.org/10.1016/j.crma.2014.11.015

Submission history

From: Kilian Raschel [view email]
[v1] Sun, 29 Jun 2014 08:02:36 UTC (10 KB)
[v2] Thu, 22 Jan 2015 11:40:01 UTC (10 KB)
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