Rahul Rajkumar

activity

20242026

collaborators

3 papers

math.PR2026

A Scaling Limit of Random Walks in the Rational Adeles

Rahul Rajkumar

This paper shows the convergence of adele-valued random walks to an adelic LÃ©vy process under scaling limits. We use random walks on the $p$ -adic numbers to construct random walks…

math.PR2025

Geometry-induced criticality in $p$ -adic scaling limits of random walks

Rahul Rajkumar, David Weisbart

An anisotropy parameter $h$ in $(0, 1]$ induces on $Q_{p}^{2}$ a duality-compatible, two-scale filtration that collapses to one scale at the right endpoint. This filtration def…

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…

A Scaling Limit of Random Walks in the Rational Adeles

Geometry-induced criticality in p-adic scaling limits of random walks

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

Geometry-induced criticality in $p$ -adic scaling limits of random walks