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Combinatorics on Words in Symbolic Dynamics: the Antisymmetric Cubic Map

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-11-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: Scopus、CSCD、ISTIC、SCIE

Volume: 24

Issue: 11

Page Number: 1817-1834

ISSN: 1439-8516

Key Words: combinatorics on words; symbolic dynamics; kneading sequence

Abstract: This paper is contributed to the combinatorial properties of the periodic kneading words of antisymmetric cubic maps defined on a interval. The least words of given lengths, the adjacency relations on the words of given lengths and the parity-alternative property in some sets of such words are established.

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