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ArticleOriginal scientific text

Title

On the ∗-product in kneading theory

Authors 1, 2, 3, 4, 5

Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, U.S.A.
  2. ENS Lyon, 46 Allée d'Italie, F-69364 Lyon, France
  3. Department of Mathematics, Facultat de Matemàtiques, Departament de Matemática, Aplicada i Anàlisi, Universitat de Barcelona Gran Via, 585 08071 Barcelona, Spain
  4. Dartmouth College, Hanover, New Hampshire 03755, U.S.A.,
  5. IBM T. J. Watson Research Center Yorktown Heights, New York 10598 U.S.A.

Abstract

We discuss a generalization of the *-product in kneading theory to maps with an arbitrary finite number of turning points. This is based on an investigation of the factorization of permutations into products of permutations with some special properties relevant for dynamics on the unit interval.

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Fundamenta Mathematicae
1997/152/3
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Pages:
189-209
Main language of publication
English
Received
1995-03-02
Accepted
1996-07-15
Published
1997
Exact and natural sciences