NDLI: On possible growths of Toeplitz languages

Content Provider	Springer Nature Link
Author	Cassaigne, J. Frid, A. E. Petrov, F. V.
Copyright Year	2011
Abstract	We consider a new family of factorial languages whose subword complexity grows as Φ(n $^{α}$), where α is the only positive root of some transcendental equation. The asymptotic growth of the complexity function of these languages is studied by discrete and analytical methods, a corollary of the Wiener-Pitt theorem inclusive. The factorial languages considered are also languages of arithmetical factors of infinite words; so, we describe a new family of infinite words with an unusual growth of arithmetical complexity.
Starting Page	63
Ending Page	73
Page Count	11
File Format	PDF
ISSN	00374466
Journal	Siberian Mathematical Journal
Volume Number	52
Issue Number	1
e-ISSN	15739260
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-03-10
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	subword complexity arithmetical complexity combinatorics on words Toeplitz words asymptotic combinatorics analytical methods in combinatorics Tauberian theorems Wiener-Pitt theorem Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On possible growths of Toeplitz languages