Number of documents

43


Journal articles28 documents

  • Alin Bostan, Alexander Marynych, Kilian Raschel. On the least common multiple of several random integers. Journal of Number Theory, Elsevier, 2019, 204, pp.113-133. ⟨10.1016/j.jnt.2019.03.017⟩. ⟨hal-01984389⟩
  • Sandro Franceschi, Kilian Raschel. Integral expression for the stationary distribution of reflected Brownian motion in a wedge. Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2019, 25 (4B), pp.3673-3713. ⟨10.3150/19-BEJ1107⟩. ⟨hal-01495788v3⟩
  • Sandro Franceschi, Kilian Raschel. Tutte's invariant approach for Brownian motion reflected in the quadrant. ESAIM: Probability and Statistics, edpsciences, 2017, ESAIM: PS Volume 21, 2017, ⟨https://www.esaim-ps.org/component/article?access=doi&doi=10.1051/ps/2017006⟩. ⟨10.1051/ps/2017006⟩. ⟨hal-01271870v3⟩
  • 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. ⟨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⟩
  • Cédric Boutillier, Béatrice de Tilière, Kilian Raschel. The $Z$-invariant massive Laplacian on isoradial graphs. Inventiones Mathematicae, Springer Verlag, 2016, 208 (1), pp.109-189. ⟨hal-01140329⟩
  • 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. ⟨10.4171/rmi/893⟩. ⟨hal-00838721v5⟩
  • Alin Bostan, Kilian Raschel. Compter les excursions sur un échiquier. Pour la science, Pour la science, 2015, pp.40-46. ⟨hal-01246339⟩
  • 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. ⟨10.1007/s00026-015-0279-4⟩. ⟨hal-00840239v2⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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. ⟨hal-00765851⟩
  • 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. 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⟩
  • Irina Kurkova, Kilian Raschel. Random walks in Z_+^2 with non-zero drift absorbed at the axes. Bulletin de la société mathématique de France, Société Mathématique de France, 2011, 139 (3), pp.287-295. ⟨hal-00372260⟩
  • 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. 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. 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⟩

Conference papers3 documents

  • Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel. Counting quadrant walks via Tutte's invariant method (extended abstract). 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Jul 2016, Vancouver, Canada. ⟨hal-01228676v2⟩
  • Sandro Franceschi, Irina Kurkova, Kilian Raschel. Analytic approach for reflected Brownian motion in the quadrant. International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Jul 2016, Cracovie, Poland. ⟨hal-01317611⟩
  • Guy Fayolle, Kilian Raschel. Some exact asymptotics in the counting of walks in the quarter plane. 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'12), 2012, Montreal, Canada. pp.109-124. ⟨hal-01197241⟩

Book sections1 document

Preprints, Working Papers, ...8 documents

  • Kilian Raschel, Amélie Trotignon. On walks avoiding a quadrant. 2019. ⟨hal-01848287v2⟩
  • Mireille Bousquet-Mélou, Éric Fusy, Kilian Raschel. Plane bipolar orientations and quadrant walks. 2019. ⟨hal-02127624⟩
  • Thomas Dreyfus, Kilian Raschel. Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. 2018. ⟨hal-01591022v2⟩
  • Kilian Raschel, Pierre Tarrago. Martin boundary of random walks in convex cones. 2018. ⟨hal-01895793⟩
  • Gerold Alsmeyer, Kilian Raschel. The extinction problem for a class of distylous plant populations. 2018. ⟨hal-01895778⟩
  • Cédric Boutillier, Béatrice de Tilière, Kilian Raschel. The Z-invariant Ising model via dimers. 2018. ⟨hal-01423324v2⟩
  • Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel. Counting quadrant walks via Tutte's invariant method. 2017. ⟨hal-01577762v2⟩
  • Kilian Raschel. Random walks in the quarter plane absorbed at the boundary: exact and asymptotic. 2009. ⟨hal-00361951⟩

Reports1 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〉

Theses1 document

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

Habilitation à diriger des recherches1 document

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