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math.CO2018★ 2 cited
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…
math.CO2018★ 2 cited
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…