About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
Probability
2015-01-23 v2 Combinatorics
Complex Variables
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.
Keywords
Cite
@article{arxiv.1406.7469,
title = {About a possible analytic approach for walks in the quarter plane with arbitrary big jumps},
author = {Guy Fayolle and Kilian Raschel},
journal= {arXiv preprint arXiv:1406.7469},
year = {2015}
}
Comments
7 pages, 3 figures, extended abstract