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Raschel, Kilian

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Author ID: raschel.kilian Recent zbMATH articles by "Raschel, Kilian"
Published as: Rasche, Kilian; Raschel, K.; Raschel, Kilian
Homepage: http://www.lmpt.univ-tours.fr/~raschel/
External Links: MGP
Documents Indexed: 37 Publications since 2010

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 203 times in 86 Documents Cited by Year
Non-D-finite excursions in the quarter plane. Zbl 1279.05003
Bostan, Alin; Raschel, Kilian; Salvy, Bruno
25
2014
On the functions counting walks with small steps in the quarter plane. Zbl 1255.05012
Kurkova, Irina; Raschel, Kilian
23
2012
Counting walks in a quadrant: a unified approach via boundary value problems. Zbl 1238.05014
Raschel, Kilian
20
2012
Random walks in \((\mathbb Z_+)^2\) with non-zero drift absorbed at the axes. Zbl 1243.60042
Kurkova, Irina; Raschel, Kilian
16
2011
Explicit expression for the generating function counting Gessel’s walks. Zbl 1234.05027
Kurkova, Irina; Raschel, Kilian
11
2011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
11
2010
A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006
Bostan, A.; Kurkova, I.; Raschel, K.
9
2017
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
8
2012
Random walks in the quarter-plane with zero drift: an explicit criterion for the finiteness of the associated group. Zbl 1263.60039
Fayolle, G.; Raschel, K.
8
2011
On the exit time from a cone for Brownian motion with drift. Zbl 1317.60104
Garbit, Rodolphe; Raschel, Kilian
7
2014
On the exit time from a cone for random walks with drift. Zbl 1346.60060
Garbit, Rodolphe; Raschel, Kilian
6
2016
Random walks in the quarter plane, discrete harmonic functions and conformal mappings. Zbl 1300.60066
Raschel, Kilian
6
2014
Green functions and Martin compactification for killed random walks related to \(SU(3)\). Zbl 1226.60068
Raschel, Kilian
6
2010
Weighted lattice walks and universality classes. Zbl 1369.05011
Courtiel, J.; Melczer, S.; Mishna, M.; Raschel, K.
5
2017
Green functions for killed random walks in the Weyl chamber of \(\mathrm{Sp}(4)\). Zbl 1263.60043
Raschel, Kilian
5
2011
Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant. Zbl 1412.92203
Lafitte-Godillon, Pauline; Raschel, Kilian; Tran, Viet Chi
4
2013
Tutte’s invariant approach for Brownian motion reflected in the quadrant. Zbl 1393.60088
Franceschi, S.; Raschel, Kilian
3
2017
The \(Z\)-invariant massive Laplacian on isoradial graphs. Zbl 1372.82016
Boutillier, Cédric; de Tilière, Béatrice; Raschel, Kilian
3
2017
\(t\)-Martin boundary of killed random walks in the quadrant. Zbl 1367.60048
Lecouvey, Cédric; Raschel, Kilian
3
2016
New steps in walks with small steps in the quarter plane: series expressions for the generating functions. Zbl 1326.05010
Kurkova, Irina; Raschel, Kilian
3
2015
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
3
2015
Random walks reaching against all odds the other side of the quarter plane. Zbl 1271.60059
van Leeuwaarden, Johan S. H.; Raschel, Kilian
3
2013
3D positive lattice walks and spherical triangles. Zbl 1433.05025
Bogosel, B.; Perrollaz, V.; Raschel, K.; Trotignon, A.
2
2020
On the least common multiple of several random integers. Zbl 07086023
Bostan, Alin; Marynych, Alexander; Raschel, Kilian
2
2019
The \(Z\)-invariant Ising model via dimers. Zbl 1419.82008
Boutillier, Cédric; Tilière, Béatrice de; Raschel, Kilian
2
2019
Some aspects of fluctuations of random walks on \(\mathbb R\) and applications to random walks on \(\mathbb R^+\) with non-elastic reflection at 0. Zbl 1287.60056
Essifi, Rim; Peigné, Marc; Raschel, Kilian
2
2013
The compensation approach for walks with small steps in the quarter plane. Zbl 1260.05005
Adan, Ivo J. B. F.; Van Leeuwaarden, Johan S. H.; Raschel, Kilian
2
2013
Boundary behavior of random walks in cones. Zbl 1456.60110
Raschel, Kilian; Tarrago, Pierre
1
2020
Counting quadrant walks via Tutte’s invariant method (extended abstract). Zbl 1440.05019
Bernardi, Olivier; Bousquet-Mélou, Mireille; Raschel, Kilian
1
2020
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. Zbl 07272578
Dreyfus, Thomas; Raschel, Kilian
1
2019
Integral expression for the stationary distribution of reflected Brownian motion in a wedge. Zbl 1428.62081
Franceschi, Sandro; Raschel, Kilian
1
2019
Passage time from four to two blocks of opinions in the voter model and walks in the quarter plane. Zbl 1266.82040
Kurkova, Irina; Raschel, Kilian
1
2013
3D positive lattice walks and spherical triangles. Zbl 1433.05025
Bogosel, B.; Perrollaz, V.; Raschel, K.; Trotignon, A.
2
2020
Boundary behavior of random walks in cones. Zbl 1456.60110
Raschel, Kilian; Tarrago, Pierre
1
2020
Counting quadrant walks via Tutte’s invariant method (extended abstract). Zbl 1440.05019
Bernardi, Olivier; Bousquet-Mélou, Mireille; Raschel, Kilian
1
2020
On the least common multiple of several random integers. Zbl 07086023
Bostan, Alin; Marynych, Alexander; Raschel, Kilian
2
2019
The \(Z\)-invariant Ising model via dimers. Zbl 1419.82008
Boutillier, Cédric; Tilière, Béatrice de; Raschel, Kilian
2
2019
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. Zbl 07272578
Dreyfus, Thomas; Raschel, Kilian
1
2019
Integral expression for the stationary distribution of reflected Brownian motion in a wedge. Zbl 1428.62081
Franceschi, Sandro; Raschel, Kilian
1
2019
A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006
Bostan, A.; Kurkova, I.; Raschel, K.
9
2017
Weighted lattice walks and universality classes. Zbl 1369.05011
Courtiel, J.; Melczer, S.; Mishna, M.; Raschel, K.
5
2017
Tutte’s invariant approach for Brownian motion reflected in the quadrant. Zbl 1393.60088
Franceschi, S.; Raschel, Kilian
3
2017
The \(Z\)-invariant massive Laplacian on isoradial graphs. Zbl 1372.82016
Boutillier, Cédric; de Tilière, Béatrice; Raschel, Kilian
3
2017
On the exit time from a cone for random walks with drift. Zbl 1346.60060
Garbit, Rodolphe; Raschel, Kilian
6
2016
\(t\)-Martin boundary of killed random walks in the quadrant. Zbl 1367.60048
Lecouvey, Cédric; Raschel, Kilian
3
2016
New steps in walks with small steps in the quarter plane: series expressions for the generating functions. Zbl 1326.05010
Kurkova, Irina; Raschel, Kilian
3
2015
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
3
2015
Non-D-finite excursions in the quarter plane. Zbl 1279.05003
Bostan, Alin; Raschel, Kilian; Salvy, Bruno
25
2014
On the exit time from a cone for Brownian motion with drift. Zbl 1317.60104
Garbit, Rodolphe; Raschel, Kilian
7
2014
Random walks in the quarter plane, discrete harmonic functions and conformal mappings. Zbl 1300.60066
Raschel, Kilian
6
2014
Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant. Zbl 1412.92203
Lafitte-Godillon, Pauline; Raschel, Kilian; Tran, Viet Chi
4
2013
Random walks reaching against all odds the other side of the quarter plane. Zbl 1271.60059
van Leeuwaarden, Johan S. H.; Raschel, Kilian
3
2013
Some aspects of fluctuations of random walks on \(\mathbb R\) and applications to random walks on \(\mathbb R^+\) with non-elastic reflection at 0. Zbl 1287.60056
Essifi, Rim; Peigné, Marc; Raschel, Kilian
2
2013
The compensation approach for walks with small steps in the quarter plane. Zbl 1260.05005
Adan, Ivo J. B. F.; Van Leeuwaarden, Johan S. H.; Raschel, Kilian
2
2013
Passage time from four to two blocks of opinions in the voter model and walks in the quarter plane. Zbl 1266.82040
Kurkova, Irina; Raschel, Kilian
1
2013
On the functions counting walks with small steps in the quarter plane. Zbl 1255.05012
Kurkova, Irina; Raschel, Kilian
23
2012
Counting walks in a quadrant: a unified approach via boundary value problems. Zbl 1238.05014
Raschel, Kilian
20
2012
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
8
2012
Random walks in \((\mathbb Z_+)^2\) with non-zero drift absorbed at the axes. Zbl 1243.60042
Kurkova, Irina; Raschel, Kilian
16
2011
Explicit expression for the generating function counting Gessel’s walks. Zbl 1234.05027
Kurkova, Irina; Raschel, Kilian
11
2011
Random walks in the quarter-plane with zero drift: an explicit criterion for the finiteness of the associated group. Zbl 1263.60039
Fayolle, G.; Raschel, K.
8
2011
Green functions for killed random walks in the Weyl chamber of \(\mathrm{Sp}(4)\). Zbl 1263.60043
Raschel, Kilian
5
2011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
11
2010
Green functions and Martin compactification for killed random walks related to \(SU(3)\). Zbl 1226.60068
Raschel, Kilian
6
2010
all top 5

Cited by 115 Authors

21 Raschel, Kilian
6 Mishna, Marni
5 Bousquet-Mélou, Mireille
5 Kauers, Manuel
5 Kurkova, Irina A.
5 Melczer, Stephen
4 Bostan, Alin
4 van Leeuwaarden, Johan S. H.
3 Dreyfus, Thomas
3 Guillemin, Fabrice M.
3 Hardouin, Charlotte
3 Mustapha, Sami
3 Rechnitzer, Andrew Daniel
3 Roques, Julien
3 Salvy, Bruno
2 Beaton, Nicholas R.
2 Bouvel, Mathilde
2 Buchacher, Manfred
2 Franceschi, Sandro
2 Garbit, Rodolphe
2 Guerrini, Veronica
2 Knessl, Charles
2 Lecouvey, Cédric
2 Owczarek, Aleksander L.
2 Rinaldi, Simone
2 Rond, Guillaume
2 Sifi, Mohamed
2 Singer, Michael F.
2 Trotignon, Amélie
1 Adan, Ivo J. B. F.
1 Albert, Michael Henry
1 Alonso, Mariemi E.
1 Alsmeyer, Gerold
1 Arreche, Carlos E.
1 Ben Salem, Nejib
1 Bernardi, Olivier
1 Billiard, Sylvain
1 Bogoşel, Beniamin
1 Boutillier, Cédric
1 Budd, Timothy G.
1 Castro-Jiménez, Francisco Jesús
1 Chavez-Casillas, Jonathan A.
1 Christensen, Hugh L.
1 Chyzak, Frédéric
1 Colomo, Filippo
1 Courtiel, Julien
1 Cygan, Wojciech
1 Dahne, Joel
1 de Tilière, Béatrice
1 Dębicki, Krzysztof
1 Denisov, Denis E.
1 Dimitriou, Ioannis
1 Duraj, Jetlir
1 Dussaule, Matthieu
1 Elliott, Robert James
1 Ernst, Philip A.
1 Essifi, Rim
1 Fernández Pérez, José Luis
1 Fernandez, Pablo García
1 Foley, Robert D.
1 Garrabrant, Scott M.
1 Godsill, Simon J.
1 Grigorescu, Ilie
1 Gwynne, Ewain
1 Hashorva, Enkelejd
1 Hauser, Herwig
1 Hofmanninger, Sophie
1 Holden, Nina
1 Ignatiouk-Robert, Irina
1 Ivanovs, Jevgeņijs
1 Ji, Lanpeng
1 Johnson, Samuel G. B.
1 Kapodistria, Stella
1 Kloas, Judith
1 Kyprianou, Andreas E.
1 Li, Guolong
1 Lis, Marcin
1 Lumbroso, Jérémie
1 McDonald, David R.
1 Melotti, Paul
1 Minchenko, Andrei
1 Okada, Izumi
1 Ovchinnikov, Alexey Igorevich
1 Pak, Igor
1 Pech, Lucien
1 Peigné, Marc
1 Perrollaz, Vincent
1 Ponty, Yann
1 Price, Andrew Elvey
1 Rémillard, Bruno N.
1 Rivero, Víctor Manuel
1 Rolski, Tomasz
1 Saksena, Mayank
1 Sankar, Maya
1 Sanna, Carlo
1 Schneider, Jan
1 Şengül, Batı
1 Simon, Samuel
1 Simonian, Alain D.
1 Sportiello, Andrea
...and 15 more Authors
all top 5

Cited in 48 Serials

6 Journal of Combinatorial Theory. Series A
4 Advances in Applied Mathematics
4 Queueing Systems
4 Séminaire Lotharingien de Combinatoire
4 Annals of Combinatorics
3 Communications in Mathematical Physics
3 Journal of Theoretical Probability
3 Stochastic Processes and their Applications
2 Advances in Applied Probability
2 Journal of Mathematical Biology
2 Annales de l’Institut Fourier
2 Transactions of the American Mathematical Society
2 European Journal of Combinatorics
2 Probability Theory and Related Fields
2 SIAM Journal on Discrete Mathematics
2 Combinatorics, Probability and Computing
2 The Electronic Journal of Combinatorics
2 Electronic Communications in Probability
2 Foundations of Computational Mathematics
2 Stochastic Models
1 Discrete Mathematics
1 Journal of Statistical Physics
1 Advances in Mathematics
1 The Annals of Probability
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Applied Probability
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Tohoku Mathematical Journal. Second Series
1 Algorithmica
1 Revista Matemática Iberoamericana
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 SIAM Journal on Scientific Computing
1 Bernoulli
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Journal of the European Mathematical Society (JEMS)
1 Methodology and Computing in Applied Probability
1 Brazilian Journal of Probability and Statistics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 SIAM Journal on Financial Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal de l’École Polytechnique – Mathématiques
1 Research in Number Theory
1 Journal of Combinatorial Algebra

Citations by Year