Enumeration of three-quadrant walks via invariants: some diagonally symmetric models Page 1
Canad. J. Math. 2022, pp. 1–67 http://dx.doi.org/10.4153/S0008414X22000487 © The …

In this paper we consider a multidimensional random walk killed on leaving a right circular
cone with a distribution of increments belonging to the normal domain of attraction of an …

We propose a systematic construction of signed harmonic functions for discrete Laplacian
operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of …

We consider discrete (time and space) random walks confined to the quarter plane, with
jumps only in directions (i, j) with i+ j≥ 0 and small negative jumps, ie, i, j≥− 1. These walks …

We consider an outward degenerate drifted Brownian motion in the quarter plane with
oblique reflections on the boundaries. In this article, we explicitly compute the Laplace …

We consider a random walk in a truncated cone KN, which is obtained by slicing cone K by a
hyperplane at a growing level of order N. We study the behaviour of the Green function in …

We consider an asymptotically stable multidimensional random walk S (n)=(S 1 (n),…, S d
(n)). For every vector x=(x 1…, xd) with x 1≥ 0, let τ x:= min {n> 0: x 1+ S 1 (n)≤ 0} be the …

In this paper, we obtain the exact asymptotic behavior of Green functions of homogeneous
random walks in Z d killed at the first exit from and open cone of R d. Our approach …

We introduce a family of two-dimensional reflected random walks in the positive quadrant
and study their Martin boundary. While the minimal boundary is systematically equal to a …

Résumé Les marches aléatoires dans un cône présentent le double attrait de se trouver au
cœur de nombreux problèmes probabilistes et d'être liées à de multiples domaines …