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Kilian Raschel
Kilian Raschel
CNRS & Laboratoire de Mathématiques et Physique Théorique (Université de Tours)
Verified email at lmpt.univ-tours.fr
Title
Cited by
Cited by
Year
On the functions counting walks with small steps in the quarter plane
I Kurkova, K Raschel
Publications mathématiques de l'IHÉS 116, 69-114, 2012
972012
Non-D-finite excursions in the quarter plane
A Bostan, K Raschel, B Salvy
Journal of Combinatorial Theory, Series A 121, 45-63, 2014
962014
Counting quadrant walks via Tutte's invariant method
O Bernardi, M Bousquet-Mélou, K Raschel
Discrete Mathematics & Theoretical Computer Science, 2020
852020
Counting walks in a quadrant: a unified approach via boundary value problems
K Raschel
Journal of the European Mathematical Society 14, 749-777, 2012
852012
Random walks in with non-zero drift absorbed at the axes
I Kurkova, K Raschel
Bulletin de la Société Mathématique de France 139 (3), 287-295, 2011
562011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane
G Fayolle, K Raschel
Markov Processes and Related Fields 16 16 (3), 485-496, 2010
442010
A human proof of Gessel’s lattice path conjecture
A Bostan, I Kurkova, K Raschel
Transactions of the American Mathematical Society 369 (2), 1365-1393, 2017
412017
Random walks in the quarter plane, discrete harmonic functions and conformal mappings
K Raschel
Stochastic Processes and their Applications 124, 3147-3178, 2014
412014
Weighted lattice walks and universality classes
J Courtiel, S Melczer, M Mishna, K Raschel
Journal of Combinatorial Theory, Series A 152, 255-302, 2017
362017
Explicit expression for the generating function counting Gesselʼs walks
I Kurkova, K Raschel
Advances in Applied Mathematics 47 (3), 414-433, 2011
342011
On the exit time from a cone for random walks with drift
R Garbit, K Raschel
Revista Matematica Iberoamericana 32 (2), 511-532, 2016
322016
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group
G Fayolle, K Raschel
Markov Processes and Related Fields 17, 619-636, 2011
312011
On walks avoiding a quadrant
K Raschel, A Trotignon
arXiv preprint arXiv:1807.08610, 2018
302018
Some exact asymptotics in the counting of walks in the quarter-plane
G Fayolle, K Raschel
DMTCS Proceedings of AofA'12, 109-124, 2012
302012
Integral expression for the stationary distribution of reflected Brownian motion in a wedge
S Franceschi, K Raschel
292019
The Z-invariant massive Laplacian on isoradial graphs
C Boutillier, B De Tilière, K Raschel
Inventiones mathematicae 208, 109-189, 2017
292017
The Z-invariant Ising model via dimers
C Boutillier, B Tilière, K Raschel
Probability Theory and Related Fields 174, 235-305, 2019
282019
Green functions for killed random walks in the Weyl chamber of Sp (4)
K Raschel
Annales de l'IHP Probabilités et statistiques 47 (4), 1001-1019, 2011
222011
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks
T Dreyfus, K Raschel
Publications mathématiques de Besançon. Algèbre et théorie des nombres, 41-80, 2019
212019
New steps in walks with small steps in the quarter plane: series expressions for the generating functions
I Kurkova, K Raschel
Annals of Combinatorics 19, 461-511, 2015
212015
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