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arXiv · 2301.00551

Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities

Isao Sauzedde
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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.

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Isao Sauzedde. 2023-01-02. Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities. https://arxiv.org/abs/2301.00551

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