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 | 97 | 2012 |
Non-D-finite excursions in the quarter plane A Bostan, K Raschel, B Salvy Journal of Combinatorial Theory, Series A 121, 45-63, 2014 | 96 | 2014 |
Counting quadrant walks via Tutte's invariant method O Bernardi, M Bousquet-Mélou, K Raschel Discrete Mathematics & Theoretical Computer Science, 2020 | 85 | 2020 |
Counting walks in a quadrant: a unified approach via boundary value problems K Raschel Journal of the European Mathematical Society 14, 749-777, 2012 | 85 | 2012 |
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 | 56 | 2011 |
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 | 44 | 2010 |
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 | 41 | 2017 |
Random walks in the quarter plane, discrete harmonic functions and conformal mappings K Raschel Stochastic Processes and their Applications 124, 3147-3178, 2014 | 41 | 2014 |
Weighted lattice walks and universality classes J Courtiel, S Melczer, M Mishna, K Raschel Journal of Combinatorial Theory, Series A 152, 255-302, 2017 | 36 | 2017 |
Explicit expression for the generating function counting Gesselʼs walks I Kurkova, K Raschel Advances in Applied Mathematics 47 (3), 414-433, 2011 | 34 | 2011 |
On the exit time from a cone for random walks with drift R Garbit, K Raschel Revista Matematica Iberoamericana 32 (2), 511-532, 2016 | 32 | 2016 |
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 | 31 | 2011 |
On walks avoiding a quadrant K Raschel, A Trotignon arXiv preprint arXiv:1807.08610, 2018 | 30 | 2018 |
Some exact asymptotics in the counting of walks in the quarter-plane G Fayolle, K Raschel DMTCS Proceedings of AofA'12, 109-124, 2012 | 30 | 2012 |
Integral expression for the stationary distribution of reflected Brownian motion in a wedge S Franceschi, K Raschel | 29 | 2019 |
The Z-invariant massive Laplacian on isoradial graphs C Boutillier, B De Tilière, K Raschel Inventiones mathematicae 208, 109-189, 2017 | 29 | 2017 |
The Z-invariant Ising model via dimers C Boutillier, B Tilière, K Raschel Probability Theory and Related Fields 174, 235-305, 2019 | 28 | 2019 |
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 | 22 | 2011 |
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 | 21 | 2019 |
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 | 21 | 2015 |