Skip to Main Content

Mathematics of Computation

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

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Computation of capacity
HTML articles powered by AMS MathViewer

by Thomas Ransford and Jérémie Rostand PDF
Math. Comp. 76 (2007), 1499-1520 Request permission

Abstract:

This article introduces a method for computing upper and lower bounds for the logarithmic capacity of a compact plane set. If the set has the Hölder continuity property, then these bounds converge to the value of the capacity. A number of examples are discussed in detail, including the Cantor middle-third set, for which we estimate $c(E)\approx 0.220949102189507$.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2000): 65E05, 31A15, 90C05
  • Retrieve articles in all journals with MSC (2000): 65E05, 31A15, 90C05
Additional Information
  • Thomas Ransford
  • Affiliation: Département de mathématiques et de statistique, Université Laval, Québec (QC), Canada G1K 7P4
  • MR Author ID: 204108
  • Email: ransford@mat.ulaval.ca
  • Jérémie Rostand
  • Affiliation: Département de mathématiques et de statistique, Université Laval, Québec (QC), Canada G1K 7P4
  • Email: jrostand@mat.ulaval.ca
  • Received by editor(s): January 18, 2005
  • Received by editor(s) in revised form: July 6, 2005
  • Published electronically: January 24, 2007
  • Additional Notes: The first author was supported by grants from NSERC and the Canada Research Chairs program
    The second author was supported by a grant from NSERC
  • © Copyright 2007 American Mathematical Society
  • Journal: Math. Comp. 76 (2007), 1499-1520
  • MSC (2000): Primary 65E05; Secondary 31A15, 90C05
  • DOI: https://doi.org/10.1090/S0025-5718-07-01941-2
  • MathSciNet review: 2299786