Curriculum Vitae

C.V.
C.V.

Publications and preprints

Preprints

• Non-D-finite excursions in the quarter plane
  Alin Bostan, Kilian Raschel, Bruno Salvy
  HAL link
• 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
  arXiv link
• On the functions counting walks with small steps in the quarter plane
  Irina Kurkova, Kilian Raschel
  arXiv link
• Passage time from four to two blocks of opinions in the voter model
  Irina Kurkova, Kilian Raschel
  arXiv link
• Random walks reaching against all odds the other side of the quarter plane
  Johan van Leeuwaarden, Kilian Raschel
  arXiv link
• The compensation approach for walks with small steps in the quarter plane
  Ivo Adan, Johan van Leeuwaarden, Kilian Raschel
  arXiv link

To appear

• Some exact asymptotics in the counting of walks in the quarter plane
  Guy Fayolle, Kilian Raschel
  AofA'12, DMTCS Proceedings (2012)
  Fulltext

Published papers

7. Counting walks in a quadrant: a unified approach via boundary value problems
   Kilian Raschel
   Journal of the European Mathematical Society 14 (2012) 749-777
   Fulltext
6. 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 17 (2011) 619-636
   Fulltext
5. Random walks in Z_+^2 with non-zero drift absorbed at the axes
   Irina Kurkova, Kilian Raschel
   Bulletin de la Société Mathématique de France 139 (2011) 341-387
   Fulltext
4. Green functions for killed random walks in the Weyl chamber of Sp(4)
   Kilian Raschel
   Annales de l'Institut Henri Poincaré 47 (2011) 1001-1019
   Fulltext
3. Explicit expression for the generating function counting Gessel's walks
   Irina Kurkova, Kilian Raschel
   Advances in Applied Mathematics 47 (2011) 414-433
   Fulltext
2. Green functions and Martin compactification for killed random walks related to SU(3)
   Kilian Raschel
   Electronic Communications in Probability 15 (2010) 176-190
   Fulltext
1. On the holonomy or algebraicity of generating functions counting lattice walks in the quarter plane
   Guy Fayolle, Kilian Raschel
   Markov Processes and Related Fields 16 (2010) 485-496
   Fulltext

Thesis

• Chemins confinés dans un quadrant
  Prix de thèse Jacques Neveu 2010
  TEL link
  Slides de la soutenance

Scientific interests

Random walks in cones

• (Asymptotic and exact expressions for) Green functions
• Harmonic functions and Martin boundary
• Hitting time of the boundary
• Conditioning random walks to stay in cones

Combinatorics of walks reflected at the boundary of the quarter plane

• Finding explicit expressions for functions counting the numbers of (deterministic) paths confined to the quarter plane
• Nature (rational, algebraic, (non)holonomic) of these counting functions

Stochastic models for population dynamics

• Extinction probabilities for distylous plant populations

Upcoming agenda

• 02.09.12-08.09.12: Analyse Harmonique et Probabilités (Angers)
• 29.08.12-31.08.12: Journées MAS 2012
• 09.07.12-14.07.12: Münster University
  Random walks in the quarter plane, harmonic functions and conformal mappings
• 18.06.12-22.06.12: Journées de Probabilités 2012
• 04.06.12-08.06.12: INRIA Paris-Rocquencourt
• 31.05.12-01.06.12: Workshop MODEMAVE
  Modélisation d'une population de plantes à fleurs auto-incompatibles par une marche aléatoire non-homogène dans le quart de plan positif
• 24.05.12: Probability seminar of Cergy-Pontoise University
  Marches aléatoires dans un quart de plan, fonctions harmoniques et représentations conformes

Talks and conferences

Research stays and conferences

• 30.04.12-03.05.12: LaBRI
• 05.03.12-09.03.12: ALEA 2012
• 13.02.12-16.02.12: Workshop Scaling limits of random walks in the quarter plane at Eurandom
• 01.02.12-03.02.12: Journées de combinatoire de Bordeaux 2012
• 27.10.11-01.11.11: Eurandom
• 20.06.11-24.06.11: Young Workshop in Arithmetics and Combinatorics in Madrid
• 07.03.11-11.03.11: ALEA 2011
• 17.02.11-21.02.11: Eurandom
• 13.01.11-15.01.11: Workshop Analysis in the Quarter Plane in Universität Jena
• 19.08.10-25.08.10: Eurandom
• 19.04.10-23.04.10: Eurandom
• 08.02.10-12.02.10: Universität Graz
• 13.07.09-16.07.09: Universität Bielefeld

Recent talks in seminars

• February 12: Probability and Ergodic Theory seminar of Tours University
  Asymptotique de certains nombres de marches confinées dans un quart de plan
  
• January 12: Workshop Proba-EDP of Tours University
  Modélisation d'une population de plantes à fleurs auto-incompatibles par une marche aléatoire non-homogène dans le quart de plan positif
• November 11: Seminar algorithms of INRIA Rocquencourt
  Marches dans un quart de plan: quelques avancées récentes
• October 11: Ergodic theory seminar of Rennes 1 University
  Fonctions de Green de marches aléatoires tuées dans le quart de plan
• April 11: Probability seminar of ENS Lyon
  Compter des chemins confinés dans un quadrant

Links

Coauthors

• Ivo Adan
• Alin Bostan
• Guy Fayolle
• Irina Kurkova
• Pauline Lafitte-Godillon
• Johan van Leeuwaarden
• Bruno Salvy
• Viet Chi Tran

Other mathematicians

• Felipe Torres

Enseignement 2011-2012

• Interrogations orales en MP*, PC* et PSI* au Lycée Descartes à Tours
• Travaux dirigés de statistiques en L2 de sociologie à l'Université de Tours
• Travaux dirigés de probabilités en L1 de biologie à l'Université de Tours

Last update