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

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

1999-01-08

arxiv.org/abs/math/9901036v1

Phys. Rev. E Vol. 58 R 5213 (1998)

Mathematics

Probability

Scientific paper

10.1103/PhysRevE.58.R5213

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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