NDLI: A polynomial bound for the lap number

Content Provider	Springer Nature Link
Author	Baillif, Mathieu
Copyright Year	2002
Abstract	In this note, we show a polynomial bound for the growth of the lap number of a piecewise monotone and piecewise continuous interval map with finitely many periodic points. We use Milnor and Thurston’s kneading theory with the coordinates of Baladi and Ruelle, which are useful for extending the theory to the non continuous case.
Starting Page	325
Ending Page	329
Page Count	5
File Format	PDF
ISSN	15755460
Journal	Qualitative Theory of Dynamical Systems
Volume Number	3
Issue Number	2
e-ISSN	16623592
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2002-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lap number Dynamical zeta functions Mathematics Dynamical Systems and Ergodic Theory Difference and Functional Equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Discrete Mathematics and Combinatorics

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A polynomial bound for the lap number