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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A formula on scattering length of dual Markov processes
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by Ping He PDF
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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Additional Information
  • Ping He
  • Affiliation: Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China
  • Email: pinghe@mail.shufe.edu.cn
  • Received by editor(s): March 2, 2010
  • Received by editor(s) in revised form: May 26, 2010
  • Published electronically: November 1, 2010
  • Additional Notes: This research supported in part by the National Natural Science Foundation of China (Grant No. 10771131)
  • Communicated by: Richard C. Bradley
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 1871-1877
  • MSC (2010): Primary 60J40; Secondary 60J45
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10618-4
  • MathSciNet review: 2763774