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

作者：Fayolle Guy^*; Raschel Kilian

来源：Comptes Rendus Mathematique, 2015, 353(2): 89-94.

DOI：10.1016/j.crma.2014.11.015

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 [4], 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.

• 出版日期2015-2
• 单位INRIA