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arXiv · 2511.09472

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

Volker Betz·Tobias Schmidt·Mark Sellke
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Abstract

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.

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Volker Betz, Tobias Schmidt, Mark Sellke. 2025-11-12. Sub-diffusive regimes for long range self-interacting path measures. https://arxiv.org/abs/2511.09472

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