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Transactions of the American Mathematical Society

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

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Capacity, energy and potential theory for random fields
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by Ming Yang PDF
Trans. Amer. Math. Soc. 366 (2014), 3821-3863 Request permission

Abstract:

Let $X:\mathbb {R}^N\rightarrow \mathbb {R}^d$ be a random field. We define capacity and energy and obtain a two-sided inequality relating capacity and energy for $X$. We apply our potential-theoretic results to various hitting probabilities for Markov fields. For non-Markovian fields, similar hitting probability results will be given elsewhere.
References
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Additional Information
  • Ming Yang
  • Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
  • Email: myang1968@yahoo.com
  • Received by editor(s): February 13, 2012
  • Received by editor(s) in revised form: October 13, 2012, and November 10, 2012
  • Published electronically: February 6, 2014
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 3821-3863
  • MSC (2010): Primary 60J45, 60G60; Secondary 60G17
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06033-9
  • MathSciNet review: 3192620