Citation
Jf. Alves et Js. Ramos, Kneading theory: A functorial approach, COMM MATH P, 204(1), 1999, pp. 89-114
Citations number
4
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616
→ ACNP
Volume
204
Issue
1
Year of publication
1999
Pages
89 - 114
Database
ISI
SICI code
0010-3616(199907)204:1<89:KTAFA>2.0.ZU;2-K
Abstract
We study the homology theory of l-modal maps of the interval. We give anoth
er proof of the Milnor and Thurston results about zeta-functions and we giv
e a functorial approach to kneading theory. Our results give explicit metho
ds for computing the sequences of lap numbers l(f(k)) and the sequences of
numbers of periodic points in an arbitrary interval [x, y].