A remark on Kac's scattering length formula
type: Item
instance of: scholarly article
title: A remark on Kac's scattering length formula
zbMATH Open document ID: 1270.60082
author: Ping He
author: Jiangang Ying
author: Patrick J. Fitzsimmons
published in: Science China. Mathematics
publication date: 2013-04-08T00:00:00Z
review text: The scattering length formula was formulated and proved by \textit{M. Kac} [Rocky Mt. J. Math. 4, No. 1, 511--537 (1974; Zbl 0314.47006)] for the Brownian motion in \(\mathbb{R}^3\). Several authors extended this formula to larger classes of (transient) processes. In this paper, the authors prove this formula in the general framework of right-Markov processes, making use of Kuznetsov measures.
Mathematics Subject Classification ID: 60J40
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 6151454
zbMATH Keywords: scattering length
zbMATH Keywords: Kuznetsov measure
zbMATH Keywords: capacity
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: s11425-012-4546-0
OpenAlex ID: W1606702553
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DOI: 10.1007/S11425-012-4546-0
description: scientific article; zbMATH DE number 6151454