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.References
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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