Kilian Raschel

Documents

Publications

	Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials Gerold Alsmeyer , Alin Bostan , Kilian Raschel , Thomas Simon Advances in Applied Mathematics, 2023 Article dans une revue hal-03469594v1
	Constructing discrete harmonic functions in wedges Viet Hung Hoang , Kilian Raschel , Pierre Tarrago Transactions of the American Mathematical Society, 2022, 375 (7), pp.4741-4782. ⟨10.1090/tran/8615⟩ Article dans une revue hal-02987609v2
	Martin boundary of random walks in convex cones Jetlir Duraj , Kilian Raschel , Pierre Tarrago , Vitali Wachtel Annales Henri Lebesgue, 2022, 5, pp.559-609. ⟨10.5802/ahl.130⟩ Article dans une revue hal-02499786v1
	Martin boundary of killed random walks on isoradial graphs Cédric Boutillier , Kilian Raschel , Alin Bostan Potential Analysis, 2022, 57, pp.201-226. ⟨10.1007/s11118-021-09912-5⟩ Article dans une revue hal-02422417v2
	On the stationary distribution of reflected Brownian motion in a non-convex wedge Guy Fayolle , Sandro Franceschi , Kilian Raschel Markov Processes And Related Fields, 2021, Markov Processes ans Related Fields, 28 (5), pp.32 Article dans une revue hal-03150317v3
	Counting quadrant walks via Tutte's invariant method Olivier Bernardi , Mireille Bousquet-Mélou , Kilian Raschel Combinatorial Theory, 2021, 1, paper # 3 Article dans une revue hal-01577762v3
	Plane bipolar orientations and quadrant walks Mireille Bousquet-Mélou , Éric Fusy , Kilian Raschel Seminaire Lotharingien de Combinatoire, 2020, 81, pp.Article B81l Article dans une revue hal-02127624v2
	Boundary behavior of random walks in cones Kilian Raschel , Pierre Tarrago Markov Processes And Related Fields, 2020, 26 (4), pp.711--756 Article dans une revue hal-01895793v2
	On walks avoiding a quadrant Kilian Raschel , Amélie Trotignon The Electronic Journal of Combinatorics, 2019, 26 (3) Article dans une revue hal-01848287v2
	Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks Thomas Dreyfus , Kilian Raschel Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2019, p. 41-80. ⟨10.5802/pmb.29⟩ Article dans une revue hal-01591022v2
	On the least common multiple of several random integers Alin Bostan , Alexander Marynych , Kilian Raschel Journal of Number Theory, 2019, 204, pp.113--133. ⟨10.1016/j.jnt.2019.03.017⟩ Article dans une revue hal-01984389v1
	The Z-invariant Ising model via dimers Cédric Boutillier , Béatrice de Tilière , Kilian Raschel Probability Theory and Related Fields, 2019, 174 (1-2), pp.235-305. ⟨10.1007/s00440-018-0861-x⟩ Article dans une revue hal-01423324v2
	Integral expression for the stationary distribution of reflected Brownian motion in a wedge Sandro Franceschi , Kilian Raschel Bernoulli, 2019, 25 (4B), pp.3673-3713. ⟨10.3150/19-BEJ1107⟩ Article dans une revue hal-01495788v3
	The extinction problem for a class of distylous plant populations with sporophytic self-incompatibility Gerold Alsmeyer , Kilian Raschel Journal of Mathematical Biology, 2019, 78 (6), pp.1841-1874. ⟨10.1007/s00285-019-01328-5⟩ Article dans une revue hal-01895778v2
	The $Z$-invariant massive Laplacian on isoradial graphs Cédric Boutillier , Béatrice de Tilière , Kilian Raschel Inventiones Mathematicae, 2017, 208 (1), pp.109-189. ⟨10.1007/s00222-016-0687-z⟩ Article dans une revue hal-01140329v1
	Weighted Lattice Walks and Universality Classes J Courtiel , Stephen Melczer , Marni Mishna , Kilian Raschel Journal of Combinatorial Theory, Series A, 2017, ⟨10.1016/j.jcta.2017.06.008⟩ Article dans une revue hal-01368786v2
	Tutte's invariant approach for Brownian motion reflected in the quadrant Sandro Franceschi , Kilian Raschel ESAIM: Probability and Statistics, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩ Article dans une revue hal-01271870v3
	A human proof of Gessel's lattice path conjecture Alin Bostan , Irina Kurkova , Kilian Raschel Transactions of the American Mathematical Society, 2017, 369 (2, February 2017), pp.1365-1393 Article dans une revue hal-00858083v3
	On the exit time from a cone for random walks with drift Rodolphe Garbit , Kilian Raschel Revista Matemática Iberoamericana, 2016, 32 (2), pp.511-532. ⟨10.4171/rmi/893⟩ Article dans une revue hal-00838721v5
	New steps in walks with small steps in the quarter plane Irina Kourkova , Kilian Raschel Annals of Combinatorics, 2015, 19 (2015) (3), pp.461-511. ⟨10.1007/s00026-015-0279-4⟩ Article dans une revue hal-00840239v2
	Compter les excursions sur un échiquier Alin Bostan , Kilian Raschel Pour la science, 2015, 449, pp.40-46 Article dans une revue hal-01246339v1
	About a possible analytic approach for walks in the quarter plane with arbitrary big jumps Guy Fayolle , Kilian Raschel Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2014, C. R. Acad. Sci. Paris, Ser I, CRASS1:5432, pp.6. ⟨10.1016/j.crma.2014.11.015⟩ Article dans une revue hal-01021327v1
	Random walks in the quarter plane, discrete harmonic functions and conformal mappings Kilian Raschel Stochastic Processes and their Applications, 2014, 114 (10), pp.3147-3178. ⟨10.1016/j.spa.2014.04.013⟩ Article dans une revue hal-00780452v2
	Non-D-finite excursions in the quarter plane Alin Bostan , Kilian Raschel , Bruno Salvy Journal of Combinatorial Theory, Series A, 2014, 121, pp.45-63. ⟨10.1016/j.jcta.2013.09.005⟩ Article dans une revue hal-00697386v2
	On the exit time from a cone for Brownian motion with drift Rodolphe Garbit , Kilian Raschel Electronic Journal of Probability, 2014, 19 (63), pp. 1-27. ⟨10.1214/EJP.v19-3169⟩ Article dans une revue hal-00880523v2
	Random walks reaching against all odds the other side of the quarter plane Johan van Leeuwaarden , Kilian Raschel Journal of Applied Probability, 2013, 50 (1), pp.85-102. ⟨10.1239/jap/1363784426⟩ Article dans une revue hal-00586295v2
	The compensation approach for walks with small steps in the quarter plane Ivo Adan , Johan van Leeuwaarden , Kilian Raschel Combinatorics, Probability and Computing, 2013, 22 (2), pp.161-183. ⟨10.1017/S0963548312000594⟩ Article dans une revue hal-00551472v3
	Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0 Rim Essifi , Marc Peigné , Kilian Raschel ALEA : Latin American Journal of Probability and Mathematical Statistics, 2013, 10 (2), pp.591-607 Article dans une revue hal-00780453v2
	Passage time of a random walk in the quarter plane for opinions in the voter model Irina Kourkova , Kilian Raschel Queueing Systems, 2013, 74 (2-3), pp.219-234. ⟨10.1007/s11134-012-9333-7⟩ Article dans une revue hal-00384187v4
	Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant Pauline Lafitte-Godillon , Kilian Raschel , Viet Chi Tran SIAM Journal on Applied Mathematics, 2013, 73 (2), pp.700-722. ⟨10.1137/120864258⟩ Article dans une revue hal-00664536v2
	On the functions counting walks with small steps in the quarter plane Irina Kurkova , Kilian Raschel Publications Mathématiques de L'IHÉS, 2012, 116 (1), pp.69-114. ⟨10.1007/s10240-012-0045-7⟩ Article dans une revue hal-00628424v2
	Counting walks in a quadrant: a unified approach via boundary value problems Kilian Raschel Journal of the European Mathematical Society, 2012, 14, pp.749-777 Article dans une revue hal-00461853v3
	Some exact asymptotics in the counting of walks in the quarter-plane Guy Fayolle , Kilian Raschel Discrete Mathematics and Theoretical Computer Science, 2012, pp.109-124 Article dans une revue hal-00765851v1
	Green functions for killed random walks in the Weyl chamber of Sp(4) Kilian Raschel Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2011, 47 (4), pp.1001-1019 Article dans une revue hal-00425923v2
	Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group Guy Fayolle , Kilian Raschel Markov Processes And Related Fields, 2011, 17 (4), pp.619-636 Article dans une revue inria-00572276v1
	Random walks in Z_+^2 with non-zero drift absorbed at the axes Irina Kurkova , Kilian Raschel Bulletin de la société mathématique de France, 2011, 139 (3), pp.287-295 Article dans une revue hal-00372260v1
	Explicit expression for the generating function counting Gessel's walks Irina Kurkova , Kilian Raschel Advances in Applied Mathematics, 2011, 47, pp.414-433 Article dans une revue hal-00438190v3
	On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane Guy Fayolle , Kilian Raschel Markov Processes And Related Fields, 2010, 16 (3), pp.485-496 Article dans une revue inria-00469603v1
	Green functions and Martin compactification for killed random walks related to SU(3) Kilian Raschel Electronic Communications in Probability, 2010, 15 (17), pp.176-190 Article dans une revue hal-00425651v2

	Polyharmonic functions and random processes in cones Francois Chapon , Eric Fusy , Kilian Raschel 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020), Clemens Heuberger, Jun 2020, Klagenfurt, Austria. pp.9:1--9:19 Communication dans un congrès hal-02436386v2
	Counting quadrant walks via Tutte's invariant method (extended abstract) Olivier Bernardi , Mireille Bousquet-Mélou , Kilian Raschel 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6416⟩ Communication dans un congrès hal-01228676v2
	Analytic approach for reflected Brownian motion in the quadrant Sandro Franceschi , Irina Kurkova , Kilian Raschel International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Jul 2016, Cracovie, Poland Communication dans un congrès hal-01317611v1
	Some exact asymptotics in the counting of walks in the quarter plane Guy Fayolle , Kilian Raschel 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'12), 2012, Montreal, Canada. pp.109-124, ⟨10.46298/dmtcs.2988⟩ Communication dans un congrès hal-01197241v1

	Transcendence in Algebra, Combinatorics, Geometry and Number Theory Alin Bostan , Kilian Raschel Springer, 373, 560 p., 2021, Springer Proceedings in Mathematics & Statistics, 978-3-030-84303-8 Ouvrages hal-03423170v1
	Séminaire de Probabilités XLVIII Mathias Beiglböck , Martin Huesmann , Florian Stebegg , Nicolas Juillet , Gilles Pagès Donati-Martin, Catherine; Lejay, Antoine; Rouault, Alain. Springer, 2168, pp.506, 2016, Lecture Notes in Mathematics, 978-3-319-44464-2. ⟨10.1007/978-3-319-44465-9⟩ Ouvrages hal-01403845v1

	t-Martin boundary of killed random walks in the quadrant Cédric Lecouvey , Kilian Raschel Catherine Donati-Martin; Antoine Lejay; Alain Rouault. Séminaire de Probabilités XLVIII, Volume 2168 of the series Lecture Notes in Mathematics Springer, pp.305-323, 2016, Séminaire de Probabilités XLVIII, 978-3-319-44464-2. ⟨10.1007/978-3-319-44465-9_11⟩ Chapitre d'ouvrage hal-01199055v2

	Differential transcendence of Bell numbers and relatives: a Galois theoretic approach Alin Bostan , Lucia Di Vizio , Kilian Raschel 2023 Pré-publication, Document de travail hal-03091272v2
	Reflected random walks and unstable Martin boundary Irina Ignatiouk-Robert , Irina Kourkova , Kilian Raschel 2022 Pré-publication, Document de travail hal-02982156v2
	The generating function of the survival probabilities in a cone is not rational Rodolphe Garbit , Kilian Raschel 2021 Pré-publication, Document de travail hal-03418842v2
	On the stationary distribution of reflected Brownian motion in a wedge: differential properties Mireille Bousquet-Mélou , Andrew Elvey-Price , Sandro Franceschi , Charlotte Hardouin , Kilian Raschel 2021 Pré-publication, Document de travail hal-03098489v2
	Random walks in the quarter plane absorbed at the boundary: exact and asymptotic Kilian Raschel 2009 Pré-publication, Document de travail hal-00361951v1

	Some exact asymptotics in the counting of walks in the quarter-plane Guy Fayolle , Kilian Raschel [Research Report] RR-7863, INRIA. 2012, pp.17 Rapport hal-00661541v1

	Chemins confinés dans un quadrant Kilian Raschel Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2010. English. ⟨NNT : ⟩ Thèse tel-00539964v1

	Combinatoire Elliptique et Marches dans des Cônes Kilian Raschel Probabilités [math.PR]. Université de Tours / Région Centre, 2016 HDR tel-01367986v1

Kilian Raschel

Publications

Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials

Constructing discrete harmonic functions in wedges

Martin boundary of random walks in convex cones

Martin boundary of killed random walks on isoradial graphs

On the stationary distribution of reflected Brownian motion in a non-convex wedge

Counting quadrant walks via Tutte's invariant method

Plane bipolar orientations and quadrant walks

Boundary behavior of random walks in cones

On walks avoiding a quadrant

Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks

On the least common multiple of several random integers

The Z-invariant Ising model via dimers

Integral expression for the stationary distribution of reflected Brownian motion in a wedge

The extinction problem for a class of distylous plant populations with sporophytic self-incompatibility

The $Z$-invariant massive Laplacian on isoradial graphs

Weighted Lattice Walks and Universality Classes

Tutte's invariant approach for Brownian motion reflected in the quadrant

A human proof of Gessel's lattice path conjecture

On the exit time from a cone for random walks with drift

New steps in walks with small steps in the quarter plane

Compter les excursions sur un échiquier

About a possible analytic approach for walks in the quarter plane with arbitrary big jumps

Random walks in the quarter plane, discrete harmonic functions and conformal mappings

Non-D-finite excursions in the quarter plane

On the exit time from a cone for Brownian motion with drift

Random walks reaching against all odds the other side of the quarter plane

The compensation approach for walks with small steps in the quarter plane

Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0

Passage time of a random walk in the quarter plane for opinions in the voter model

Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant

On the functions counting walks with small steps in the quarter plane

Counting walks in a quadrant: a unified approach via boundary value problems

Some exact asymptotics in the counting of walks in the quarter-plane

Green functions for killed random walks in the Weyl chamber of Sp(4)

Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group

Random walks in Z_+^2 with non-zero drift absorbed at the axes

Explicit expression for the generating function counting Gessel's walks

On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane

Green functions and Martin compactification for killed random walks related to SU(3)

Polyharmonic functions and random processes in cones

Counting quadrant walks via Tutte's invariant method (extended abstract)

Analytic approach for reflected Brownian motion in the quadrant

Some exact asymptotics in the counting of walks in the quarter plane

Transcendence in Algebra, Combinatorics, Geometry and Number Theory

Séminaire de Probabilités XLVIII

t-Martin boundary of killed random walks in the quadrant

Differential transcendence of Bell numbers and relatives: a Galois theoretic approach

Reflected random walks and unstable Martin boundary

The generating function of the survival probabilities in a cone is not rational

On the stationary distribution of reflected Brownian motion in a wedge: differential properties

Random walks in the quarter plane absorbed at the boundary: exact and asymptotic

Some exact asymptotics in the counting of walks in the quarter-plane

Chemins confinés dans un quadrant

Combinatoire Elliptique et Marches dans des Cônes