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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
952012
Non-D-finite excursions in the quarter plane
A Bostan, K Raschel, B Salvy
Journal of Combinatorial Theory, Series A 121, 45-63, 2014
912014
Counting walks in a quadrant: a unified approach via boundary value problems
K Raschel
Journal of the European Mathematical Society 14, 749-777, 2012
812012
Counting quadrant walks via Tutte's invariant method
O Bernardi, M Bousquet-Mélou, K Raschel
Discrete Mathematics & Theoretical Computer Science, 2020
772020
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
542011
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
452010
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
422017
Random walks in the quarter plane, discrete harmonic functions and conformal mappings
K Raschel
Stochastic Processes and their Applications 124, 3147-3178, 2014
422014
Explicit expression for the generating function counting Gesselʼs walks
I Kurkova, K Raschel
Advances in Applied Mathematics 47 (3), 414-433, 2011
352011
Weighted lattice walks and universality classes
J Courtiel, S Melczer, M Mishna, K Raschel
Journal of Combinatorial Theory, Series A 152, 255-302, 2017
312017
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
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
302011
On the exit time from a cone for random walks with drift
R Garbit, K Raschel
Revista Matematica Iberoamericana 32 (2), 511-532, 2016
292016
On walks avoiding a quadrant
K Raschel, A Trotignon
arXiv preprint arXiv:1807.08610, 2018
282018
The Z-invariant Ising model via dimers
C Boutillier, B Tilière, K Raschel
Probability Theory and Related Fields 174, 235-305, 2019
272019
The Z-invariant massive Laplacian on isoradial graphs
C Boutillier, B De Tilière, K Raschel
Inventiones mathematicae 208, 109-189, 2017
262017
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
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
G Fayolle, K Raschel
Comptes Rendus. Mathématique 353 (2), 89-94, 2015
212015
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
212011
Integral expression for the stationary distribution of reflected Brownian motion in a wedge
S Franceschi, K Raschel
202019
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