papers
Publications (19)
math.CO2012
The compensation approach for walks with small steps in the quarter plane
Ivo J. B. F. Adan, Johan S. H. van Leeuwaarden, Kilian Raschel
math.PR2014
On the exit time from a cone for Brownian motion with drift
Rodolphe Garbit, Kilian Raschel
math.PR2014
Random walks in the quarter plane, discrete harmonic functions and conformal mappings
Kilian Raschel
math.CO2012
On the functions counting walks with small steps in the quarter plane
Irina Kurkova, Kilian Raschel
math.PR2009
Random Walks in the Quarter Plane Absorbed at the Boundary : Exact and Asymptotic
Kilian Raschel
math.PR2011
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group
Guy Fayolle, Kilian Raschel
math.PR2013
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
math.PR2013
Passage time from four to two blocks of opinions in the voter model and walks in the quarter plane
Irina Kurkova, Kilian Raschel
math.PR2010
On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane
Guy Fayolle, Kilian Raschel
math.PR2010
Green functions for killed random walks in the Weyl chamber of Sp(4)
Kilian Raschel
math.PR2012
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
math.CO2011
Counting walks in a quadrant: a unified approach via boundary value problems
Kilian Raschel
math.PR2010
Green functions and Martin compactification for killed random walks related to SU(3)
Kilian Raschel
math.CO2010
Explicit expression for the generating function counting Gessel's walks
Irina Kurkova, Kilian Raschel
math.PR2012
Random walks reaching against all odds the other side of the quarter plane
Johan S. H. van Leeuwaarden, Kilian Raschel
math.CO2013
Non-D-finite excursions in the quarter plane
Alin Bostan, Kilian Raschel, Bruno Salvy
math.PR2013
Some exact asymptotics in the counting of walks in the quarter-plane
Guy Fayolle, Kilian Raschel
math.PR2009
Random walks in $(\mathbb{Z}_+)^2$ with non-zero drift absorbed at the axes
Irina Kurkova, Kilian Raschel
math.PR2015
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
Guy Fayolle, Kilian Raschel