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1. A formula on scattering length of dual Markov processes.

Subjects
*MATHEMATICAL formulas, *SCATTERING (Mathematics), *DUALITY theory (Mathematics), *MARKOV processes, *WIENER processes, *LOGICAL prediction
Abstract

A formula on the scattering length for 3-dimensional Brownian motion was conjectured by M. Kac and proved by others later. It was recently proved under the framework of symmetric Markov processes by Takeda. In this paper, we shall prove that this formula holds for Markov processes under weak duality by the machinery developed mainly by Fitzsimmons and Getoor. [ABSTRACT FROM AUTHOR]

Published
2010