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

Guy Fayolle, Kilian Raschel

Type: Article

Publication Date: 2014-12-23

Citations: 19

DOI: https://doi.org/10.1016/j.crma.2014.11.015

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Comptes Rendus Mathématique - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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Works That Cite This (17)

Action	Title	Year	Authors
+	An elementary solution of Gessel's walks in the quadrant	2016	Mireille Bousquet‐Mélou
+	Counting walks with large steps in an orthant	2018	Alin Bostan Mireille Bousquet‐Mélou Stephen Melczer
+ PDF Chat	On the stationary distribution of reflected Brownian motion in a non-convex wedge	2021	Guy Fayolle Sandro Franceschi Kilian Raschel
+ PDF Chat	Reflected random walks and unstable Martin boundary	2024	Irina Ignatiouk-Robert Irina Kurkova Kilian Raschel
+ PDF Chat	Combinatorics Meets Potential Theory	2016	Philippe D’Arco Valentina Lacivita Sami Mustapha
+	Weighted lattice walks and universality classes	2017	Julien Courtiel Stephen Melczer Marni Mishna Kilian Raschel
+ PDF Chat	Asymptotic Expansion of Stationary Distribution for Reflected Brownian Motion in the Quarter Plane via Analytic Approach	2017	Sandro Franceschi Irina Kourkova
+ PDF Chat	Asymptotic expansion of stationary distribution for reflected Brownian motion in the quarter plane via analytic approach	2017	Sandro Franceschi Irina Kourkova
+ PDF Chat	Counting walks with large steps in an orthant	2021	Alin Bostan Mireille Bousquet‐Mélou Stephen Melczer
+	An elementary solution of Gessel's walks in the quadrant	2015	Mireille Bousquet‐Mélou

Works Cited by This (6)

Action	Title	Year	Authors
+	Walks with small steps in the quarter plane	2008	Mireille Bousquet‐Mélou Marni Mishna
+	Analytic Combinatorics	2009	Philippe Flajolet Robert Sedgewick
+ PDF Chat	Two coupled processors: The reduction to a Riemann-Hilbert problem	1979	Guy Fayolle Roudolf Iasnogorodski
+	An analytical method in the theory of two-dimensional positive random walks	1973	V. A. Malyshev
+	Walks with small steps in the quarter plane	2010	Mireille Bousquet‐Mélou Marni Mishna
+	Random Walks in the Quarter-Plane	1999	Guy Fayolle Roudolf Iasnogorodski V. A. Malyshev