Tyler Pierce

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math.PR2024

Brownian Motion in the $p$ -Adic Integers is a Limit of Discrete Time Random Walks

Tyler Pierce, David Weisbart

Vladimirov defined an operator on balls in $Q_{p}$ , the $p$ -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 $d$ , the Vladimirov-Taibleson operator is a natural analogue of the Laplace operator for complex-valued functions on a $d$ -dimensional vector space $V$ over…

Brownian Motion in the p-Adic Integers is a Limit of Discrete Time Random Walks

Brownian Motion in a Vector Space over a Local Field is a Scaling Limit

Brownian Motion in the $p$ -Adic Integers is a Limit of Discrete Time Random Walks