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Elementary derivation of Spitzer's asymptotic law for Brownian windings and some of its physical applications

Arkady L. Kholodenko
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Abstract

A simple derivation of Spitzer'z asymptotic law for Brownian windings [Trans.Am.Math.Soc.87,187 (1958)]is presented along with its generalizations >.These include the cases of planar Brownian walks interacting with a single puncture and Brownian walks on a single truncated cone with variable conical angle interacting with the truncated conical tip.Such situations are typical in the theories of quantum Hall effect and 2+1 quantum gravity, respectively .They also have some applications in polymer physics

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Arkady L. Kholodenko. 1999-01-08. Elementary derivation of Spitzer's asymptotic law for Brownian windings and some of its physical applications. https://doi.org/10.1103/physreve.58.r5213

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