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

Abstract : About a possible analytic approach for walks in the quarter plane with arbitrary big jumps Autour d'une approche analytique pour les marches à sauts arbitrairement grands dans le quart de plan 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.
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Submitted on : Wednesday, December 24, 2014 - 2:43:43 PM
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Guy Fayolle, Kilian Raschel. About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2014, C. R. Acad. Sci. Paris, Ser I, pp.6. ⟨10.1016/j.crma.2014.11.015⟩. ⟨hal-01021327⟩

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