Nombre de documents

38


Article dans une revue24 documents

  • J Courtiel, Stephen Melczer, Marni Mishna, Kilian Raschel. Weighted Lattice Walks and Universality Classes. Journal of Combinatorial Theory, Series A, Elsevier, 2017, 〈10.1016/j.jcta.2017.06.008〉. 〈hal-01368786v2〉
  • Alin Bostan, Irina Kurkova, Kilian Raschel. A human proof of Gessel's lattice path conjecture. Transactions of the American Mathematical Society, American Mathematical Society, 2017, 369 (2, February 2017), pp.1365-1393 〈http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2016-06804-X/〉. 〈hal-00858083v3〉
  • Cédric Boutillier, Béatrice De Tilière, Kilian Raschel. The $Z$-invariant massive Laplacian on isoradial graphs. Inventiones Mathematicae, Springer Verlag, 2016, pp.doi:10.1007/s00222-016-0687-z. 〈hal-01426812〉
  • Rodolphe Garbit, Kilian Raschel. On the exit time from a cone for random walks with drift. Revista Matemática Iberoamericana, European Mathematical Society, 2016, 32 (2), pp.511-532. 〈http://www.ems-ph.org/journals/journal.php?jrn=rmi〉. 〈10.4171/rmi/893〉. 〈hal-00838721v5〉
  • Irina Kourkova, Kilian Raschel. New steps in walks with small steps in the quarter plane. Annals of Combinatorics, Springer Verlag, 2015, 19 (2015) (3), pp.461-511. 〈http://link.springer.com/journal/26〉. 〈10.1007/s00026-015-0279-4〉. 〈hal-00840239v2〉
  • Alin Bostan, Kilian Raschel. Compter les excursions sur un échiquier. Pour la science, Paris : E. Belin, 2015, pp.40-46. 〈http://www.pourlascience.fr/ewb_pages/a/article-compter-les-excursions-sur-un-echiquier-33883.php〉. 〈hal-01246339〉
  • Alin Bostan, Kilian Raschel, Bruno Salvy. Non-D-finite excursions in the quarter plane. Journal of Combinatorial Theory, Series A, Elsevier, 2014, 121, pp.45-63. 〈10.1016/j.jcta.2013.09.005〉. 〈hal-00697386v2〉
  • Guy Fayolle, Kilian Raschel. About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2014, C. R. Acad. Sci. Paris, Ser I, pp.6. 〈10.1016/j.crma.2014.11.015〉. 〈hal-01021327〉
  • Rodolphe Garbit, Kilian Raschel. On the exit time from a cone for Brownian motion with drift. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2014, 19 (63), pp. 1-27. 〈10.1214/EJP.v19-3169〉. 〈hal-00880523v2〉
  • Kilian Raschel. Random walks in the quarter plane, discrete harmonic functions and conformal mappings. Stochastic Processes and their Applications, Elsevier, 2014, 114 (10), pp.3147-3178. 〈10.1016/j.spa.2014.04.013〉. 〈hal-00780452v2〉
  • Ivo Adan, Johan Van Leeuwaarden, Kilian Raschel. The compensation approach for walks with small steps in the quarter plane. Combinatorics, Probability and Computing, Cambridge University Press (CUP), 2013, 22 (2), pp.161-183. 〈10.1017/S0963548312000594〉. 〈hal-00551472v3〉
  • Johan Van Leeuwaarden, Kilian Raschel. Random walks reaching against all odds the other side of the quarter plane. Journal of Applied Probability, Applied Probability Trust, 2013, 50 (1), pp.85-102. 〈10.1239/jap/1363784426〉. 〈hal-00586295v2〉
  • Irina Kourkova, Kilian Raschel. Passage time of a random walk in the quarter plane for opinions in the voter model. Queueing Systems, Springer Verlag, 2013, 74 (2-3), pp.219-234. 〈10.1007/s11134-012-9333-7〉. 〈hal-00384187v4〉
  • Rim Essifi, Marc Peigné, Kilian Raschel. Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0. ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2013, 10 (2), pp.591-607. 〈hal-00780453v2〉
  • Pauline Lafitte-Godillon, Kilian Raschel, Viet Chi Tran. Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2013, 73 (2), pp.700-722. 〈10.1137/120864258〉. 〈hal-00664536v2〉
  • Kilian Raschel. Counting walks in a quadrant: a unified approach via boundary value problems. Journal of the European Mathematical Society, European Mathematical Society, 2012, 14, pp.749-777. 〈hal-00461853v3〉
  • Irina Kurkova, Kilian Raschel. On the functions counting walks with small steps in the quarter plane. Publications Mathématiques de L'IHÉS, Springer Verlag, 2012, 116 (1), pp.69-114. 〈10.1007/s10240-012-0045-7〉. 〈hal-00628424v2〉
  • Guy Fayolle, Kilian Raschel. Some exact asymptotics in the counting of walks in the quarter-plane. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2012, pp.109-124. 〈http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/search/results〉. 〈hal-00765851〉
  • Irina Kurkova, Kilian Raschel. Explicit expression for the generating function counting Gessel's walks. Advances in Applied Mathematics, Elsevier, 2011, 47, pp.414-433. 〈hal-00438190v3〉
  • Guy Fayolle, Kilian Raschel. Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group. Markov Processes and Related Fields, Polymath, 2011, 17 (4), pp.619-636. 〈inria-00572276〉
  • Kilian Raschel. Green functions for killed random walks in the Weyl chamber of Sp(4). Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2011, 47 (4), pp.1001-1019. 〈hal-00425923v2〉
  • Irina Kurkova, Kilian Raschel. Random walks in Z_+^2 with non-zero drift absorbed at the axes. Bulletin de la société mathématique de France, 2011, 139 (3), pp.287-295. 〈hal-00372260〉
  • Guy Fayolle, Kilian Raschel. On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane. Markov Processes and Related Fields, Polymath, 2010, 16 (3), pp.485-496. 〈inria-00469603〉
  • Kilian Raschel. Green functions and Martin compactification for killed random walks related to SU(3). Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2010, 15, pp.176-190. 〈hal-00425651v2〉

Communication dans un congrès2 documents

  • O Bernardi, M Bousquet-Mélou, Kilian Raschel. Counting quadrant walks via Tutte's invariant method (extended abstract). FPSAC 2016, Jul 2016, Vancouver, Canada. FPSAC 2016 (Formal power series and algebraic combinatorics), 〈https://sites.google.com/site/fpsac2016/〉. 〈hal-01228676v2〉
  • Guy Fayolle, Kilian Raschel. Some exact asymptotics in the counting of walks in the quarter plane. Broutin, Nicolas and Devroye, Luc. 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'12), 2012, Montreal, Canada. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AQ, 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12), pp.109-124, 2012, DMTCS Proceedings. 〈hal-01197241〉

Chapitre d'ouvrage1 document

Pré-publication, Document de travail8 documents

  • Thomas Dreyfus, Kilian Raschel. Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. 27 pages, 7 figures. 2017. 〈hal-01591022〉
  • Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel. Counting quadrant walks via Tutte's invariant method. 54 pages, 10 figures, 10 tables. 2017. 〈hal-01577762v2〉
  • Sandro Franceschi, Kilian Raschel. Explicit expression for the stationary distribution of reflected brownian motion in a wedge. 2017. 〈hal-01495788〉
  • Sandro Franceschi, Kilian Raschel. Tutte's invariant approach for Brownian motion reflected in the quadrant. 2016. 〈hal-01271870v3〉
  • Sandro Franceschi, Irina Kurkova, Kilian Raschel. Analytic approach for reflected Brownian motion in the quadrant. Extended abstract of the papers arXiv:1602.03054 and arXiv:1604.02918, to appear in Proceedings o.. 2016. 〈hal-01317611〉
  • Cédric Boutillier, Béatrice De Tilière, Kilian Raschel. The Z-invariant Ising model via dimers. 70 pages, 21 figures. 2016. 〈hal-01423324〉
  • Cédric Boutillier, Béatrice De Tilière, Kilian Raschel. The $Z$-invariant massive Laplacian on isoradial graphs. 85 pages, 14 figures. 2015. 〈hal-01140329〉
  • Kilian Raschel. Random walks in the quarter plane absorbed at the boundary: exact and asymptotic. 2009. 〈hal-00361951〉

Rapport1 document

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

Thèse1 document

  • Kilian Raschel. Chemins confinés dans un quadrant. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2010. English. 〈tel-00539964〉

HDR1 document

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