Brownian windings, stochastic Green’s formula and inhomogeneous magnetic impurities

Electronic Journal of Probability 2026 Open access

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Authors: Isao Sauzedde
DOI: 10.1214/26-ejp1584
Cited by: 0

Abstract

We give a general Green’s 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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Quantum and electron transport phenomena Theoretical and Computational Physics

Publication details

Journal / source
Electronic Journal of Probability
Volume
31
Issue
none
Pages
1–26
Publication date
1 January 2026
Language
EN