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Kilian Raschel

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

Guy Fayolle , Sandro Franceschi , Kilian Raschel
Markov Processes And Related Fields, 2022, Markov Processes ans Related Fields, 28 (5), pp.32
Journal articles hal-03150317v3
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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⟩
Journal articles hal-02422417v2
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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, 2022
Journal articles hal-03469594v1
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Counting quadrant walks via Tutte's invariant method

Olivier Bernardi , Mireille Bousquet-Mélou , Kilian Raschel
Combinatorial Theory, 2021, 1, paper # 3
Journal articles hal-01577762v3
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Plane bipolar orientations and quadrant walks

Mireille Bousquet-Mélou , Éric Fusy , Kilian Raschel
Seminaire Lotharingien de Combinatoire, 2020, 81, pp.Article B81l
Journal articles hal-02127624v2
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On walks avoiding a quadrant

Kilian Raschel , Amélie Trotignon
The Electronic Journal of Combinatorics, 2019, 26 (3)
Journal articles hal-01848287v2
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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⟩
Journal articles hal-01591022v2
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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⟩
Journal articles hal-01984389v1
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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⟩
Journal articles hal-01895778v2
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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⟩
Journal articles hal-01495788v3
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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⟩
Journal articles hal-01423324v2
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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⟩
Journal articles hal-01368786v2

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⟩
Journal articles hal-01140329v1
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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⟩
Journal articles hal-01271870v3
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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
Journal articles hal-00858083v3
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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⟩
Journal articles hal-00838721v5
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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⟩
Journal articles hal-00840239v2

Compter les excursions sur un échiquier

Alin Bostan , Kilian Raschel
Pour la science, 2015, 449, pp.40-46
Journal articles hal-01246339v1
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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⟩
Journal articles hal-00880523v2
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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⟩
Journal articles hal-00697386v2
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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⟩
Journal articles hal-01021327v1
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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⟩
Journal articles hal-00780452v2
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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⟩
Journal articles hal-00551472v3
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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⟩
Journal articles hal-00384187v4
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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⟩
Journal articles hal-00664536v2
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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⟩
Journal articles hal-00586295v2
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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
Journal articles hal-00780453v2
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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
Journal articles hal-00765851v1
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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
Journal articles hal-00461853v3
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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⟩
Journal articles hal-00628424v2
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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
Journal articles hal-00372260v1
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Explicit expression for the generating function counting Gessel's walks

Irina Kurkova , Kilian Raschel
Advances in Applied Mathematics, 2011, 47, pp.414-433
Journal articles hal-00438190v3
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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
Journal articles inria-00572276v1
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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
Journal articles hal-00425923v2
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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
Journal articles hal-00425651v2
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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
Journal articles inria-00469603v1
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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
Conference papers hal-02436386v2
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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⟩
Conference papers hal-01228676v2
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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
Conference papers hal-01317611v1
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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⟩
Conference papers 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
Books hal-03423170v1

Séminaire de Probabilités XLVIII

Mathias Beiglböck , Martin Huesmann , Florian Stebegg , Nicolas Juillet , Gilles Pagès et al.
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⟩
Books hal-01403845v1
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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⟩
Book sections hal-01199055v2
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Chemins confinés dans un quadrant

Kilian Raschel
Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2010. English. ⟨NNT : ⟩
Theses tel-00539964v1
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Combinatoire Elliptique et Marches dans des Cônes

Kilian Raschel
Probabilités [math.PR]. Université de Tours / Région Centre, 2016
Habilitation à diriger des recherches tel-01367986v1