Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities
Probability
2025-12-11 v2 Mathematical Physics
math.MP
Abstract
We give a general Green formula for the planar Brownian motion, which we apply to study the Aharonov--Bohm effect induced by Poisson distributed magnetic impurities on a Brownian electron in the presence of an inhomogeneous magnetic field.
Keywords
Cite
@article{arxiv.2301.00551,
title = {Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities},
author = {Isao Sauzedde},
journal= {arXiv preprint arXiv:2301.00551},
year = {2025}
}