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

Fuente: arXiv
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1. Verfasser: Sauzedde, Isao
Format: Preprint
Veröffentlicht: 2023
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author Sauzedde, Isao
author_facet Sauzedde, Isao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_00551
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities
Sauzedde, Isao
Probability
Mathematical Physics
Primary 60J65, 60K37 Secondary 60G17
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.
title Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities
topic Probability
Mathematical Physics
Primary 60J65, 60K37 Secondary 60G17
url https://arxiv.org/abs/2301.00551