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20232025
most citedMean square displacement of Brownian paths perturbed by bounded pair potentials

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math.PR2025

Sub-diffusive regimes for long range self-interacting path measures

Volker Betz, Tobias Schmidt, Mark Sellke

We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay.