53 citations · 68 across the 22 of their papers we have counts for
4 papers · 1 filter
On walks avoiding a quadrant
Kilian Raschel, Amélie Trotignon
Two-dimensional (random) walks in cones are very natural both in combinatorics and probability theory: they are interesting for themselves and also because they are strongly relate…
The extinction problem for a class of distylous plant populations
Gerold Alsmeyer, Kilian Raschel
In this paper, the extinction problem for a class of distylous plant populations is considered within the framework of certain nonhomogeneous nearest-neighbor random walks in the p…
3d positive lattice walks and spherical triangles
B Bogosel, V Perrollaz, K. Raschel +1
In this paper we explore the asymptotic enumeration of three-dimensional excursions confined to the positive octant. As shown in [29], both the exponential growth and the critical…
Boundary behavior for random walks in cones
Kilian Raschel, Pierre Tarrago
We study the asymptotic behavior of zero-drift random walks confined to multidimensional convex cones, when the endpoint is close to the boundary. We derive a local limit theorem i…