Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Maxwell's coefficients are conditional probabilities


Author: Reuben Hersh
Journal: Proc. Amer. Math. Soc. 44 (1974), 449-453
MSC: Primary 60J65; Secondary 78.31
MathSciNet review: 0343379
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The capacitance coefficients of electrostatics are represented as conditional probabilities associated with Brownian motion. It follows, as an immediate consequence, that these coefficients depend monotonically on their domains.


References [Enhancements On Off] (What's this?)

  • [1] R. J. Griego and R. Hersh, Brownian motion and potential theory, Scientific American, March, 1969, pp. 67-74.
  • [2] J. H. Jeans, Mathematical theory of electricity and magnetism, Cambridge Univ. Press, 1948, pp. 92-97.
  • [3] John Lamperti, Probability. A survey of the mathematical theory, W. A. Benjamin, Inc., New York-Amsterdam, 1966. MR 0206996 (34 #6812)
  • [4] J. R. Reitz and F. J. Milford, Foundations of electromagnetic theory, Addison-Wesley, Reading, Mass., 1960, p. 112.
  • [5] R. Courant, Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces, Interscience Publishers, Inc., New York, N.Y., 1950. Appendix by M. Schiffer. MR 0036317 (12,90a)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60J65, 78.31

Retrieve articles in all journals with MSC: 60J65, 78.31


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0343379-6
PII: S 0002-9939(1974)0343379-6
Keywords: Maxwell's coefficients, capacitance
Article copyright: © Copyright 1974 American Mathematical Society