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Renewal theory for several patterns

Published online by Cambridge University Press:  14 July 2016

Stephen Breen ,
Michael S. Waterman  and
Ning Zhang
Stephen Breen*
Affiliation:
University of Southern California
Michael S. Waterman*
Affiliation:
University of Southern California
Ning Zhang*
Affiliation:
University of Southern California
*
Postal address for all authors: Department of Mathematics, University of Southern California, DRB 306, University Park, Los Angeles, CA 90089–1113, USA.
Postal address for all authors: Department of Mathematics, University of Southern California, DRB 306, University Park, Los Angeles, CA 90089–1113, USA.
Postal address for all authors: Department of Mathematics, University of Southern California, DRB 306, University Park, Los Angeles, CA 90089–1113, USA.
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Abstract

Discrete renewal theory is generalized to study the occurrence of a collection of patterns in random sequences, where a renewal is defined to be the occurrence of one of the patterns in the collection which does not overlap an earlier renewal. The action of restriction enzymes on DNA sequences provided motivation for this work. Related results of Guibas and Odlyzko are discussed.

Keywords

DISCRETE RENEWAL THEORYGENERATING FUNCTIONSDNA SEQUENCES
Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 1 , March 1985 , pp. 228 - 234
Copyright
Copyright © Applied Probability Trust 1985 

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Footnotes

∗

Work supported by a grant from the System Development Foundation.

References

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