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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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Discrete Bernoulli convolutions: An algorithmic approach toward bound improvement
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by Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob and Kevin James PDF
Proc. Amer. Math. Soc. 139 (2011), 1579-1584 Request permission

Abstract:

In this paper we consider a discrete version of the Bernoulli convolution problem traditionally studied via functional analysis. We develop an algorithm which bounds the Bernoulli sequences, and we give a significant improvement on the best known bound.
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Additional Information
  • Neil J. Calkin
  • Affiliation: Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634
  • Email: calkin@ces.clemson.edu
  • Julia Davis
  • Affiliation: Department of Mathematics, Grove City College, Grove City, Pennsylvania 16127
  • Address at time of publication: Dillsburg, Pennsylvania
  • Email: juliadavis87@gmail.com
  • Michelle Delcourt
  • Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
  • MR Author ID: 923919
  • Email: mdelcourt3@gatech.edu
  • Zebediah Engberg
  • Affiliation: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755
  • Email: zeb@dartmouth.edu
  • Jobby Jacob
  • Affiliation: School of Mathematical Sciences, Rochester Institute of Technology, Rochester, New York 14623
  • Email: jxjsma@rit.edu
  • Kevin James
  • Affiliation: Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634
  • MR Author ID: 629241
  • Email: kevja@clemson.edu
  • Received by editor(s): April 23, 2010
  • Received by editor(s) in revised form: May 23, 2010
  • Published electronically: September 16, 2010
  • Additional Notes: This research was supported by NSF grant DMS-0552799.
  • Communicated by: Matthew A. Papanikolas
  • © 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), 1579-1584
  • MSC (2010): Primary 05A16, 42A85; Secondary 26A46, 46G99, 28E99
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10633-0
  • MathSciNet review: 2763747