53 citations · 489 across the 66 of their papers we have counts for
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Logarithmic terms in discrete heat kernel expansions in the quadrant
Andrew Elvey-Price, Andreas Nessmann, Kilian Raschel
In the context of lattice walk enumeration in cones, we consider the number of walks in the quarter plane with fixed starting and ending points, prescribed step-set and given lengt…
A fixed-point equation approach for the superdiffusive elephant random walk
Hélène Guérin, Lucile Laulin, Kilian Raschel
We study the elephant random walk in arbitrary dimension . Our main focus is the limiting random variable appearing in the superdiffusive regime. Building on a link betwee…
Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator
Zakhar Kabluchko, Alexander Marynych, Kilian Raschel
A crinkled subordinator is an -valued random process which can be thought of as a version of the usual one-dimensional subordinator with each out of countably many jumps be…
Intervals in the greedy Tamari posets
Mireille Bousquet-Mélou, Frédéric Chapoton
We consider a greedy version of the -Tamari order defined on -Dyck paths, recently introduced by Dermenjian. Inspired by intriguing connections between intervals in the ordin…
Multivariate multiplicative functions of uniform random vectors in large integer domains
Zakhar Kabluchko, Oleksandr Marynych, Kilian Raschel
For a wide class of sequences of integer domains , , we prove distributional limit theorems for , w…