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Kneading theory for tree maps

Published online by Cambridge University Press:  09 August 2004

J. F. ALVES  and
J. SOUSA RAMOS
J. F. ALVES
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049–001 Lisboa, Portugal (e-mail: jalves@math.ist.utl.pt, sramos@math.ist.utl.pt)
J. SOUSA RAMOS
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049–001 Lisboa, Portugal (e-mail: jalves@math.ist.utl.pt, sramos@math.ist.utl.pt)
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Abstract

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Using the techniques developed in Alves and Sousa Ramos (Comm. Math. Phys.204(1) (1999), 89–114), we generalize the Milnor and Thurston results about the zeta function, semiconjugacy and topological entropy of interval maps to tree maps.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 4 , August 2004 , pp. 957 - 985
Copyright
2004 Cambridge University Press