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math.PR2024
Brownian Motion in the -Adic Integers is a Limit of Discrete Time Random Walks
Tyler Pierce, David Weisbart
Vladimirov defined an operator on balls in , the -adic numbers, that is analogous to the Laplace operator in the real setting. Kochubei later provided a probabilist…
math.PR2024
Brownian Motion in a Vector Space over a Local Field is a Scaling Limit
Tyler Pierce, Rahul Rajkumar, Andrea Stine +2
For any natural number , the Vladimirov-Taibleson operator is a natural analogue of the Laplace operator for complex-valued functions on a -dimensional vector space over…