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math.PR2023
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…
math.PR2023
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…
math.PR2023
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…