Some exact asymptotics in the counting of walks in the quarter-plane
  Enumeration of planar lattice walks is a classical topic in combinatorics, at the cross-roads of several domains (e.g., probability, statistical physics, computer science). The aim of this paper is to propose a new approach to obtain some exact asymptotics for walks confined to the quarter plane. 
Guy Fayolle (INRIA Rocquencourt), Kilian Raschel (CNRS & LMPT,   Universit\'e Fran\c{c}ois Rabelais)
math.PR