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On longest matching consecutive subsequence
Guangzhou Univ, Peoples R China.
Linköping University, Department of Mathematics, Mathematical Statistics . Linköping University, Faculty of Science & Engineering.
2019 (English)In: International Journal of Number Theory, ISSN 1793-0421, Vol. 15, no 8, p. 1745-1758Article in journal (Refereed) Published
Abstract [en]

The longest matching consecutive subsequence between two N-ary expansions found applications in information theory and molecular biology. In this paper, we establish an almost sure limit theorem for the longest matching consecutive subsequence, and investigate the size of the set of points violating the limit in terms of Hausdorff dimension.

Place, publisher, year, edition, pages
WORLD SCIENTIFIC PUBL CO PTE LTD , 2019. Vol. 15, no 8, p. 1745-1758
Keywords [en]
Longest matching consecutive subsequence; Hausdorff dimension; N-ary expansion
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:liu:diva-160158DOI: 10.1142/S1793042119500970ISI: 000481933400010OAI: oai:DiVA.org:liu-160158DiVA, id: diva2:1349592
Note

Funding Agencies|National Natural Science Foundation of China [11671189]; Natural Science Foundation of Fujian Province [2017J01403]

Available from: 2019-09-09 Created: 2019-09-09 Last updated: 2019-09-09

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Yang, Xiangfeng
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Mathematical Statistics Faculty of Science & Engineering
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