Kilian Raschel

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All published works

Action	Title	Year	Authors
+	Limit shape of the leaky Abelian sandpile model with multiple layers	2025	Théo Ballu Cédric Boutillier Sevak Mkrtchyan Kilian Raschel
+ PDF Chat	Enumeration of walks in multidimensional orthants and reflection groups	2025	Léa Gohier Emmanuel Humbert Kilian Raschel
+ PDF Chat	On the first hitting time of a high-dimensional orthant	2024	Emmanuel Humbert Kilian Raschel
+ PDF	Differential transcendence of Bell numbers and relatives: A Galois theoretic approach	2024	Alin Bostan Lucia Di Vizio Kilian Raschel
+ PDF Chat	Enumeration of weighted quadrant walks: criteria for algebraicity and D-finiteness	2024	Thomas Dreyfus Andrew Elvey Price Kilian Raschel
+	On the limit law of the superdiffusive elephant random walk	2024	Hélène Guérin Lucile Laulin Kilian Raschel Thomas Simon
+	Logarithmic terms in discrete heat kernel expansions in the quadrant	2024	Andrew Elvey Price Andreas Nessmann Kilian Raschel
+	Random walks in the high-dimensional limit II: The crinkled subordinator	2024	Zakhar Kabluchko Alexander Marynych Kilian Raschel
+	Elephant polynomials	2024	Hélène Guérin Lucile Laulin Kilian Raschel
+	Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent	2024	Luc Hillairet Helen Jenne Kilian Raschel
+ PDF	Reflected random walks and unstable Martin boundary	2024	Irina Ignatiouk-Robert Irina Kourkova Kilian Raschel
+	Elephant polynomials	2024	Hélène Guérin Lucile Laulin Kilian Raschel
+	Elephant polynomials	2024	Hélène Guérin Lucile Laulin Kilian Raschel
+	Invariant measure of gaps in degenerate competing three-particle systems	2024	Sandro Franceschi Tomoyuki Ichiba Ioannis Karatzas Kilian Raschel
+	A fixed-point equation approach for the superdiffusive elephant random walk	2023	Hélène Guérin Lucile Laulin Kilian Raschel
+	Multivariate Multiplicative Functions of Uniform Random Vectors in Large Integer Domains	2023	Zakhar Kabluchko Alexander Marynych Kilian Raschel
+ PDF Chat	Harmonic functions for singular quadrant walks	2023	Viet Hung Hoang Kilian Raschel Pierre Tarrago
+ PDF	Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	2023	Gerold Alsmeyer Alin Bostan Kilian Raschel Thomas Simon
+ PDF	Random walks with drift inside a pyramid: convergence rate for the survival probability	2023	Rodolphe Garbit Kilian Raschel
+	Multivariate multiplicative functions of uniform random vectors in large integer domains	2023	Zakhar Kabluchko Oleksandr Marynych Kilian Raschel
+	Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator	2023	Zakhar Kabluchko Alexander Marynych Kilian Raschel
+	A fixed-point equation approach for the superdiffusive elephant random walk	2023	Hélène Guérin Lucile Laulin Kilian Raschel
+	Logarithmic terms in discrete heat kernel expansions in the quadrant	2023	Andrew Elvey Price Andreas Nessmann Kilian Raschel
+ PDF	Stationary Brownian motion in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e861" altimg="si303.svg"><mml:mrow><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math>-plane: Reduction to a Riemann–Hilbert problem via Fourier transforms	2022	Guy Fayolle Sandro Franceschi Kilian Raschel
+ PDF	A dual skew symmetry for transient reflected Brownian motion in an orthant	2022	Sandro Franceschi Kilian Raschel
+ PDF Chat	Asymptotics of Arithmetic Functions of GCD and LCM of Random Integers in Hyperbolic Regions	2022	Alexander Iksanov Alexander Marynych Kilian Raschel
+ PDF	Martin boundary of random walks in convex cones	2022	Jetlir Duraj Kilian Raschel Pierre Tarrago Vitali Wachtel
+	Stationary Brownian motion in a 3/4-plane: Reduction to a Riemann-Hilbert problem via Fourier transforms	2022	Guy Fayolle Sandro Franceschi Kilian Raschel
+	A dual skew symmetry for transient reflected Brownian motion in an orthant	2022	Sandro Franceschi Kilian Raschel
+	Marches aléatoires dans un cône et fonctions discrètes harmoniques	2022	Kilian Raschel Pierre Tarrago
+	Random walks with drift inside a pyramid: convergence rate for the survival probability	2022	Rodolphe Garbit Kilian Raschel
+	Constructing discrete harmonic functions in wedges	2021	Viet Tung Hoang Kilian Raschel Pierre Tarrago
+ PDF	Counting quadrant walks via Tutte's invariant method	2021	Olivier Bernardi Mireille Bousquet‐Mélou Kilian Raschel
+ PDF	The generating function of the survival probabilities in a cone is not rational	2021	Rodolphe Garbit Kilian Raschel
+ PDF	Martin Boundary of Killed Random Walks on Isoradial Graphs	2021	Cédric Boutillier Kilian Raschel Alin Bostan
+ PDF	On the stationary distribution of reflected Brownian motion in a non-convex wedge	2021	Guy Fayolle Sandro Franceschi Kilian Raschel
+ PDF Chat	The stationary distribution of reflected Brownian motion in a wedge: differential properties	2021	Mireille Bousquet‐Mélou Andrew Elvey Price Sandro Franceschi Charlotte Hardouin Kilian Raschel
+	Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	2021	Gerold Alsmeyer Alin Bostan Kilian Raschel Thomas Simon
+	Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent	2021	Luc Hillairet Helen Jenne Kilian Raschel
+	Transcendence in Algebra, Combinatorics, Geometry and Number Theory	2021	Alin Bostan Kilian Raschel
+	The generating function of the survival probabilities in a cone is not rational	2021	Rodolphe Garbit Kilian Raschel
+	On the stationary distribution of reflected Brownian motion in a non-convex wedge	2021	Guy Fayolle Sandro Franceschi Kilian Raschel
+	On the stationary distribution of reflected Brownian motion in a wedge: differential properties	2021	Mireille Bousquet‐Mélou Andrew Elvey Price Sandro Franceschi Charlotte Hardouin Kilian Raschel
+ PDF	Counting quadrant walks via Tutte's invariant method (extended abstract)	2020	Olivier Bernardi Mireille Bousquet‐Mélou Kilian Raschel
+ PDF	Martin boundary of random walks in convex cones	2020	Jetlir Duraj Kilian Raschel Pierre Tarrago Vitali Wachtel
+ PDF	Martin boundary of random walks in convex cones	2020	Jetlir Duraj Kilian Raschel Pierre Tarrago Vitali Wachtel
+	3D positive lattice walks and spherical triangles	2020	Beniamin Bogosel Vincent Perrollaz Kilian Raschel Amélie Trotignon
+	Polyharmonic functions and random processes in cones	2020	François Chapon Éric Fusy Kilian Raschel
+ PDF	Plane bipolar orientations and quadrant walks	2020	Mireille Bousquet‐Mélou Éric Fusy Kilian Raschel
+	Differential transcendence of Bell numbers and relatives: a Galois theoretic approach	2020	Alin Bostan Lucia Di Vizio Kilian Raschel
+	Martin boundary of random walks in convex cones	2020	Jetlir Duraj Kilian Raschel Pierre Tarrago Vitali Wachtel
+	Martin boundary of killed random walks on isoradial graphs	2019	Cédric Boutillier Kilian Raschel
+ PDF	Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks	2019	Thomas Dreyfus Kilian Raschel
+ PDF	Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks	2019	Thomas Dreyfus Kilian Raschel
+ PDF	Integral expression for the stationary distribution of reflected Brownian motion in a wedge	2019	Sandro Franceschi Kilian Raschel
+ PDF	On walks avoiding a quadrant	2019	Kilian Raschel Amélie Trotignon
+ PDF	On Walks Avoiding a Quadrant	2019	Kilian Raschel Amélie Trotignon
+ PDF Chat	On walks avoiding a quadrant	2019	Kilian Raschel Amélie Trotignon
+	On the least common multiple of several random integers	2019	Alin Bostan Alexander Marynych Kilian Raschel
+ PDF	The extinction problem for a distylous plant population with sporophytic self-incompatibility	2019	Gerold Alsmeyer Kilian Raschel
+	Plane bipolar orientations and quadrant walks	2019	Mireille Bousquet‐Mélou Éric Fusy Kilian Raschel
+ PDF	Martin boundary of random walks in convex cones	2018	Kilian Raschel Pierre Tarrago
+ PDF	Plane bipolar orientations and quadrant walks	2018	Mireille Bousquet‐Mélou Éric Fusy Kilian Raschel
+	The Z-invariant Ising model via dimers	2018	Cédric Boutillier Béatrice de Tilière Kilian Raschel
+ PDF	The extinction problem for a class of distylous plant populations	2018	Gerold Alsmeyer Kilian Raschel
+	3d positive lattice walks and spherical triangles	2018	Beniamin Bogosel Vincent Perrollaz Kilian Raschel Amélie Trotignon
+	Boundary behavior for random walks in cones	2018	Kilian Raschel Pierre Tarrago
+	Weighted lattice walks and universality classes	2017	Julien Courtiel Stephen Melczer Marni Mishna Kilian Raschel
+ PDF	Tutte’s invariant approach for Brownian motion reflected in the quadrant	2017	Sandro Franceschi Kilian Raschel
+ PDF Chat	The Z-invariant massive Laplacian on isoradial graphs	2016	Cédric Boutillier Béatrice de Tilière Kilian Raschel
+	Combinatoire Elliptique et Marches dans des Cônes	2016	Kilian Raschel
+ PDF	Elliptic Combinatorics and Walks in Cones	2016	Kilian Raschel
+ PDF	On the exit time from a cone for random walks with drift	2016	Rodolphe Garbit Kilian Raschel
+ PDF	t-Martin Boundary of Killed Random Walks in the Quadrant	2016	Cédric Lecouvey Kilian Raschel
+	Analytic approach for reflected Brownian motion in the quadrant	2016	Sandro Franceschi Irina Kourkova Kilian Raschel
+	Séminaire de Probabilités XLVIII	2016	Mathias Beiglböck Martin Huesmann Florian Stebegg Nicolas Juillet Gilles Pagès Dai Taguchi Alexis Devulder Mátyás Barczy Peter Kern Ismaël Bailleul
+ PDF	A human proof of Gessel’s lattice path conjecture	2015	Alin Bostan Irina Kurkova Kilian Raschel
+ PDF	New Steps in Walks with Small Steps in the Quarter Plane: Series Expressions for the Generating Functions	2015	Irina Kurkova Kilian Raschel
+	Compter les excursions sur un échiquier	2015	Alin Bostan Kilian Raschel
+ PDF Chat	About a possible analytic approach for walks in the quarter plane with arbitrary big jumps	2014	Guy Fayolle Kilian Raschel
+	Random walks in the quarter plane, discrete harmonic functions and conformal mappings	2014	Kilian Raschel
+ PDF	Walks in the quarter plane: Analytic approach and applications	2014	Kilian Raschel
+ PDF	On the exit time from a cone for brownian motion with drift	2014	Rodolphe Garbit Kilian Raschel
+ PDF	Non-D-finite excursions in the quarter plane	2013	Alin Bostan Kilian Raschel Bruno Salvy
+ PDF	New steps in walks with small steps in the quarter plane	2013	Irina Kurkova Kilian Raschel
+ PDF	Random Walks Reaching Against all Odds the other Side of the Quarter Plane	2013	Johan S. H. van Leeuwaarden Kilian Raschel
+ PDF	Random Walks Reaching Against all Odds the other Side of the Quarter Plane	2013	Johan S. H. van Leeuwaarden Kilian Raschel
+	Random walks in the quarter plane, harmonic functions and conformal mappings	2013	Kilian Raschel
+ PDF	The Compensation Approach for Walks With Small Steps in the Quarter Plane	2013	I.J.B.F. Adan Johan S. H. van Leeuwaarden Kilian Raschel
+	Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0	2013	Rim Essifi Marc Peigné Kilian Raschel
+ PDF	Extinction Probabilities for a Distylous Plant Population Modeled by an Inhomogeneous Random Walk on the Positive Quadrant	2013	Pauline Lafitte Kilian Raschel Viet Chi Tran
+ PDF	Passage time from four to two blocks of opinions in the voter model and walks in the quarter plane	2012	Irina Kurkova Kilian Raschel
+ PDF	On the functions counting walks with small steps in the quarter plane	2012	Irina Kurkova Kilian Raschel
+ PDF	Some exact asymptotics in the counting of walks in the quarter-plane	2012	Guy Fayolle Kilian Raschel
+	Non-D-finite excursions in the quarter plane	2012	Alin Bostan Kilian Raschel Bruno Salvy
+ PDF	Counting walks in a quadrant: a unified approach via boundary value problems	2012	Kilian Raschel
+ PDF	Some exact asymptotics in the counting of walks in the quarter plane	2012	Guy Fayolle Kilian Raschel
+	Non-D-finite excursions in the quarter plane	2012	Alin Bostan Kilian Raschel Bruno Salvy
+	Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces	2012	Philip Boalch Irina Kurkova Kilian Raschel Emmanuel Breuillard Ben Green Terence Tao Jean Fasel Ravi A. Rao Richard G. Swan Peter Scholze
+ PDF	Random walks in Z_+^2 with non-zero drift absorbed at the axes	2011	Irina Kurkova Kilian Raschel
+ PDF	Green functions for killed random walks in the Weyl chamber of Sp(4)	2011	Kilian Raschel
+	Random walks in the quarter-plane with zero drift: an explicit criterion for the finiteness of the associated group	2011	Guy Fayolle Kilian Raschel
+ PDF	Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes	2011	Irina Kurkova Kilian Raschel
+	Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group	2011	Guy Fayolle Kilian Raschel
+	Explicit expression for the generating function counting Gesselʼs walks	2010	Irina Kurkova Kilian Raschel
+ PDF	Chemins confinés dans un quadrant	2010	Kilian Raschel
+	Counting walks in a quadrant: a unified approach via boundary value problems	2010	Kilian Raschel
+ PDF	On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane	2010	Guy Fayolle Kilian Raschel
+ PDF	Green functions and Martin compactification for killed random walks related to SU(3)	2010	Kilian Raschel
+	On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane	2010	Guy Fayolle Kilian Raschel
+	Counting walks in a quadrant: a unified approach via boundary value problems	2010	Kilian Raschel
+	Explicit expression of the counting generating function for Gessel's walk	2009	Irina Kurkova Kilian Raschel
+	Explicit expression for the generating function counting Gessel's walks	2009	Irina Kurkova Kilian Raschel
+	Green functions for killed random walks in the Weyl chamber of Sp(4)	2009	Kilian Raschel
+ PDF	Green functions for killed random walks in the Weyl chamber of Sp(4)	2009	Kilian Raschel
+	Martin boundary of a killed random walk in the Weyl chamber of the dual of SU(3)	2009	Kilian Raschel
+	Passage time from four to two blocks in the voter model	2009	Kilian Raschel
+	Random Walks in the Quarter Plane Absorbed at the Boundary : Exact and Asymptotic	2009	Kilian Raschel
+	Random walks in $(\mathbb{Z}_+)^2$ with non-zero drift absorbed at the axes	2009	Irina Kurkova Kilian Raschel
+	Green functions for killed random walks in the Weyl chamber of Sp(4)	2009	Kilian Raschel
+	Green functions and Martin compactification for killed random walks related to SU(3)	2009	Kilian Raschel

Common Coauthors

Coauthor	Papers Together
Irina Kurkova	13
Sandro Franceschi	12
Guy Fayolle	11
Alin Bostan	10
Pierre Tarrago	9
Mireille Bousquet‐Mélou	7
Lucile Laulin	6
Hélène Guérin	6
Rodolphe Garbit	6
Amélie Trotignon	5
Alexander Marynych	5
Cédric Boutillier	5
Zakhar Kabluchko	4
Gerold Alsmeyer	4
Éric Fusy	4
Andrew Elvey Price	4
Vitali Wachtel	4
Jetlir Duraj	3
Thomas Dreyfus	3
Bruno Salvy	3
Johan S. H. van Leeuwaarden	3
Thomas Simon	3
Charlotte Hardouin	2
Olivier Bernardi	2
Luc Hillairet	2
Helen Jenne	2
Cédric Lecouvey	2
Alin Bostan	2
Lucia Di Vizio	2
Béatrice de Tilière	2
Vincent Perrollaz	2
Emmanuel Humbert	2
Beniamin Bogosel	2
Florian Stebegg	1
François Chapon	1
Nicolas Juillet	1
Marni Mishna	1
Mathias Beiglböck	1
Oleksandr Marynych	1
Stéphane Laurent	1
Marc Peigné	1
Andreas Nessmann	1
Gilles Pagès	1
Martin Huesmann	1
Mátyás Barczy	1
Ben Green	1
Libo Li	1
Thomas Simon	1
Ravi A. Rao	1
Songzi Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Walks with small steps in the quarter plane	2010	Mireille Bousquet‐Mélou Marni Mishna	30
+	Walks with small steps in the quarter plane	2008	Mireille Bousquet‐Mélou Marni Mishna	30
+ PDF	The complete generating function for Gessel walks is algebraic	2010	Alin Bostan Manuel Kauers	26
+ PDF Chat	Two non-holonomic lattice walks in the quarter plane	2009	Marni Mishna Andrew Rechnitzer	22
+ PDF	On the functions counting walks with small steps in the quarter plane	2012	Irina Kurkova Kilian Raschel	22
+	Random Walks in the Quarter-Plane	1999	Guy Fayolle Roudolf Iasnogorodski V. A. Malyshev	21
+ PDF	Two coupled processors: The reduction to a Riemann-Hilbert problem	1979	Guy Fayolle Roudolf Iasnogorodski	19
+	Random walks in cones	2015	Denis Denisov Vitali Wachtel	19
+ PDF	Counting walks in a quadrant: a unified approach via boundary value problems	2012	Kilian Raschel	18
+ PDF	Quantum random walk on the dual of SU (n)	1991	Philippe Biane	16
+	Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift	2000	Georgii S. Litvinchuk	16
+ PDF	Counting quadrant walks via Tutte's invariant method	2021	Olivier Bernardi Mireille Bousquet‐Mélou Kilian Raschel	15
+ PDF	On the nature of the generating series of walks in the quarter plane	2018	Thomas Dreyfus Charlotte Hardouin Julien Roques Michael F. Singer	14
+ PDF	Non-D-finite excursions in the quarter plane	2013	Alin Bostan Kilian Raschel Bruno Salvy	14
+ PDF	Ordered Random Walks	2008	Peter Eichelsbacher Wolfgang König	14
+ PDF	Proof of Ira Gessel's lattice path conjecture	2009	Manuel Kauers Christoph Koutschan Doron Zeilberger	13
+	Explicit expression for the generating function counting Gesselʼs walks	2010	Irina Kurkova Kilian Raschel	13
+ PDF	On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane	2010	Guy Fayolle Kilian Raschel	12
+ PDF	Martin boundary of a killed random walk on a quadrant	2010	Irina Ignatiouk-Robert Christophe Loree	12
+ PDF Chat	Martin Boundary of a Killed Random Walk on a Half-Space	2007	Irina Ignatiouk-Robert	12
+	Basic analytic combinatorics of directed lattice paths	2002	Cyril Banderier Philippe Flajolet	12
+ PDF Chat	Walks confined in a quadrant are not always D-finite	2003	Mireille Bousquet‐Mélou Marko Petkovšek	11
+	MINUSCULE WEIGHTS AND RANDOM WALKS ON LATTICES	1992	Philippe Biane	11
+	An analytical method in the theory of two-dimensional positive random walks	1973	V. A. Malyshev	11
+	A Brownian-Motion Model for the Eigenvalues of a Random Matrix	1962	Freeman J. Dyson	11
+	A probabilistic method for lattice path enumeration	1986	Ira M. Gessel	11
+ PDF	Random walks in Z_+^2 with non-zero drift absorbed at the axes	2011	Irina Kurkova Kilian Raschel	10
+ PDF	On the exit time from a cone for random walks with drift	2016	Rodolphe Garbit Kilian Raschel	10
+ PDF	Walks in the quarter plane: Kreweras’ algebraic model	2005	Mireille Bousquet‐Mélou	10
+ PDF Chat	Random walks in cones: The case of nonzero drift	2013	Jetlir Duraj	10
+ PDF	Martin boundaries of cartesian products of markov chains	1992	Massimo A. Picardello Wolfgang Woess	10
+ PDF	Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes	2011	Irina Kurkova Kilian Raschel	10
+	Analytic Combinatorics	2009	Philippe Flajolet Robert Sedgewick	10
+	Chromatic sums revisited	1995	W. T. Tutte	9
+ PDF	Brownian motion in cones	1997	Rodrigo Bañuelos Robert G. Smits	9
+	Non-D-Finite Walks in a Three-Quadrant Cone	2019	Sami Mustapha	9
+ PDF Chat	On 3-Dimensional Lattice Walks Confined to the Positive Octant	2016	Alin Bostan Mireille Bousquet‐Mélou Manuel Kauers Stephen Melczer	9
+ PDF	A human proof of Gessel’s lattice path conjecture	2015	Alin Bostan Irina Kurkova Kilian Raschel	9
+ PDF	Conditional Limit Theorems for Ordered Random Walks	2010	Denis Denisov Vitali Wachtel	8
+ PDF	Malyshev's theory and JS-queues. Asymptotics of stationary probabilities	2003	Irina Kurkova Yuri Suhov	8
+ PDF	Reflected Brownian motion in a wedge: sum-of-exponential stationary densities	2009	A. B. Dieker John Moriarty	8
+	Potential theory in conical domains	1999	N. Th. Varopoulos	8
+	Recurrence and transience of reflecting Brownian motion in the quadrant	1993	David Hobson L. C. G. Rogers	8
+ PDF	Random walks in the quarter-plane: Algebraic methods, boundary value problems and applications	1999	Guy Fayolle Roudolf Iasnogorodski V. A. Malyshev	8
+ PDF	Passage-time moments for nonnegative stochastic processes and an application to reflected random walks in a quadrant	1996	Sanjar Aspandiiarov Roudolf Iasnogorodski Mikhail Menshikov	8
+ PDF	Green functions for killed random walks in the Weyl chamber of Sp(4)	2011	Kilian Raschel	8
+ PDF	Automatic Classification of Restricted Lattice Walks	2009	Alin Bostan Manuel Kauers	8
+ PDF	Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions	1987	J. Michael Harrison Ruth Williams	7
+	Potential theory in conical domains (III)	2001	N. Th. Varopoulos	7
+	Two Parallel Queues Created by Arrivals with Two Demands I	1984	Leopold Flatto Sebastian Hahn	7