A formula on scattering length of dual Markov processes

He, Ping

doi:10.1090/S0002-9939-2010-10618-4

A formula on scattering length of dual Markov processes
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Proc. Amer. Math. Soc. 139 (2011), 1871-1877 Request permission

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.

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