Capacity, energy and potential theory for random fields
Author:
Ming Yang
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
Published electronically:
February 6, 2014
MathSciNet review:
3192620
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a random field. We define capacity and energy and obtain a two-sided inequality relating capacity and energy for
. 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.
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Additional Information
Ming Yang
Affiliation:
Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
Email:
myang1968@yahoo.com
DOI:
https://doi.org/10.1090/S0002-9947-2014-06033-9
Keywords:
Random fields,
capacity,
energy,
potential theory,
Markov fields
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
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.