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Raschel, Kilian

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 Author ID: 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
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Co-Authors

 6 single-authored 7 Kurkova, Irina A. 4 Fayolle, Guy 3 Bostan, Alin 3 Franceschi, Sandro 2 Boutillier, Cédric 2 de Tilière, Béatrice 2 Garbit, Rodolphe 2 Trotignon, Amélie 2 van Leeuwaarden, Johan S. H. 1 Adan, Ivo J. B. F. 1 Alsmeyer, Gerold 1 Bernardi, Olivier 1 Bogoşel, Beniamin 1 Bousquet-Mélou, Mireille 1 Courtiel, Julien 1 Dreyfus, Thomas 1 Essifi, Rim 1 Lafitte-Godillon, Pauline 1 Lecouvey, Cédric 1 Marynych, Alexander V. 1 Melczer, Stephen 1 Mishna, Marni 1 Peigné, Marc 1 Perrollaz, Vincent 1 Salvy, Bruno 1 Tarrago, Pierre 1 Tran, Viet Chi
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Serials

 3 Journal of Combinatorial Theory. Series A 3 Markov Processes and Related Fields 1 Journal of Mathematical Biology 1 Bulletin de la Société Mathématique de France 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of Number Theory 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Queueing Systems 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Combinatorics, Probability and Computing 1 The Electronic Journal of Combinatorics 1 Electronic Journal of Probability 1 Electronic Communications in Probability 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 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Matapli
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Fields

 25 Probability theory and stochastic processes (60-XX) 17 Combinatorics (05-XX) 14 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX)

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
2014
On the functions counting walks with small steps in the quarter plane. Zbl 1255.05012
Kurkova, Irina; Raschel, Kilian
2012
Counting walks in a quadrant: a unified approach via boundary value problems. Zbl 1238.05014
Raschel, Kilian
2012
Random walks in $$(\mathbb Z_+)^2$$ with non-zero drift absorbed at the axes. Zbl 1243.60042
Kurkova, Irina; Raschel, Kilian
2011
Explicit expression for the generating function counting Gessel’s walks. Zbl 1234.05027
Kurkova, Irina; Raschel, Kilian
2011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
2010
A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006
Bostan, A.; Kurkova, I.; Raschel, K.
2017
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
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.
2011
On the exit time from a cone for Brownian motion with drift. Zbl 1317.60104
Garbit, Rodolphe; Raschel, Kilian
2014
On the exit time from a cone for random walks with drift. Zbl 1346.60060
Garbit, Rodolphe; Raschel, Kilian
2016
Random walks in the quarter plane, discrete harmonic functions and conformal mappings. Zbl 1300.60066
Raschel, Kilian
2014
Green functions and Martin compactification for killed random walks related to $$SU(3)$$. Zbl 1226.60068
Raschel, Kilian
2010
Weighted lattice walks and universality classes. Zbl 1369.05011
Courtiel, J.; Melczer, S.; Mishna, M.; Raschel, K.
2017
Green functions for killed random walks in the Weyl chamber of $$\mathrm{Sp}(4)$$. Zbl 1263.60043
Raschel, Kilian
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
2013
Tutte’s invariant approach for Brownian motion reflected in the quadrant. Zbl 1393.60088
Franceschi, S.; Raschel, Kilian
2017
The $$Z$$-invariant massive Laplacian on isoradial graphs. Zbl 1372.82016
Boutillier, Cédric; de Tilière, Béatrice; Raschel, Kilian
2017
$$t$$-Martin boundary of killed random walks in the quadrant. Zbl 1367.60048
Lecouvey, Cédric; Raschel, Kilian
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
2015
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
2015
Random walks reaching against all odds the other side of the quarter plane. Zbl 1271.60059
van Leeuwaarden, Johan S. H.; Raschel, Kilian
2013
3D positive lattice walks and spherical triangles. Zbl 1433.05025
Bogosel, B.; Perrollaz, V.; Raschel, K.; Trotignon, A.
2020
On the least common multiple of several random integers. Zbl 07086023
Bostan, Alin; Marynych, Alexander; Raschel, Kilian
2019
The $$Z$$-invariant Ising model via dimers. Zbl 1419.82008
Boutillier, Cédric; Tilière, Béatrice de; Raschel, Kilian
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
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
2013
Boundary behavior of random walks in cones. Zbl 1456.60110
Raschel, Kilian; Tarrago, Pierre
2020
Counting quadrant walks via Tutte’s invariant method (extended abstract). Zbl 1440.05019
Bernardi, Olivier; Bousquet-Mélou, Mireille; Raschel, Kilian
2020
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. Zbl 07272578
Dreyfus, Thomas; Raschel, Kilian
2019
Integral expression for the stationary distribution of reflected Brownian motion in a wedge. Zbl 1428.62081
Franceschi, Sandro; Raschel, Kilian
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
2013
3D positive lattice walks and spherical triangles. Zbl 1433.05025
Bogosel, B.; Perrollaz, V.; Raschel, K.; Trotignon, A.
2020
Boundary behavior of random walks in cones. Zbl 1456.60110
Raschel, Kilian; Tarrago, Pierre
2020
Counting quadrant walks via Tutte’s invariant method (extended abstract). Zbl 1440.05019
Bernardi, Olivier; Bousquet-Mélou, Mireille; Raschel, Kilian
2020
On the least common multiple of several random integers. Zbl 07086023
Bostan, Alin; Marynych, Alexander; Raschel, Kilian
2019
The $$Z$$-invariant Ising model via dimers. Zbl 1419.82008
Boutillier, Cédric; Tilière, Béatrice de; Raschel, Kilian
2019
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. Zbl 07272578
Dreyfus, Thomas; Raschel, Kilian
2019
Integral expression for the stationary distribution of reflected Brownian motion in a wedge. Zbl 1428.62081
Franceschi, Sandro; Raschel, Kilian
2019
A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006
Bostan, A.; Kurkova, I.; Raschel, K.
2017
Weighted lattice walks and universality classes. Zbl 1369.05011
Courtiel, J.; Melczer, S.; Mishna, M.; Raschel, K.
2017
Tutte’s invariant approach for Brownian motion reflected in the quadrant. Zbl 1393.60088
Franceschi, S.; Raschel, Kilian
2017
The $$Z$$-invariant massive Laplacian on isoradial graphs. Zbl 1372.82016
Boutillier, Cédric; de Tilière, Béatrice; Raschel, Kilian
2017
On the exit time from a cone for random walks with drift. Zbl 1346.60060
Garbit, Rodolphe; Raschel, Kilian
2016
$$t$$-Martin boundary of killed random walks in the quadrant. Zbl 1367.60048
Lecouvey, Cédric; Raschel, Kilian
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
2015
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
2015
Non-D-finite excursions in the quarter plane. Zbl 1279.05003
Bostan, Alin; Raschel, Kilian; Salvy, Bruno
2014
On the exit time from a cone for Brownian motion with drift. Zbl 1317.60104
Garbit, Rodolphe; Raschel, Kilian
2014
Random walks in the quarter plane, discrete harmonic functions and conformal mappings. Zbl 1300.60066
Raschel, Kilian
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
2013
Random walks reaching against all odds the other side of the quarter plane. Zbl 1271.60059
van Leeuwaarden, Johan S. H.; Raschel, Kilian
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
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
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
2013
On the functions counting walks with small steps in the quarter plane. Zbl 1255.05012
Kurkova, Irina; Raschel, Kilian
2012
Counting walks in a quadrant: a unified approach via boundary value problems. Zbl 1238.05014
Raschel, Kilian
2012
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
2012
Random walks in $$(\mathbb Z_+)^2$$ with non-zero drift absorbed at the axes. Zbl 1243.60042
Kurkova, Irina; Raschel, Kilian
2011
Explicit expression for the generating function counting Gessel’s walks. Zbl 1234.05027
Kurkova, Irina; Raschel, Kilian
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.
2011
Green functions for killed random walks in the Weyl chamber of $$\mathrm{Sp}(4)$$. Zbl 1263.60043
Raschel, Kilian
2011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
2010
Green functions and Martin compactification for killed random walks related to $$SU(3)$$. Zbl 1226.60068
Raschel, Kilian
2010
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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
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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
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Cited in 23 Fields

 47 Probability theory and stochastic processes (60-XX) 44 Combinatorics (05-XX) 13 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 6 Operations research, mathematical programming (90-XX) 5 Difference and functional equations (39-XX) 5 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX)