CLASSIFYING C1+ STRUCTURES ON DYNAMICAL FRACTALS .2. EMBEDDED TREES

• Type: Article in International Scientific Journal
• Date: 1995

Authors

PINTO, AA (Author) FCUP; RAND, DA (Author) Other

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 15

Pages: 969-992

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 13 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-G6T

Abstract (EN): We classify the C-1+alpha structures on embedded trees. This extends the results of Sullivan on embeddings of the binary tree to trees with arbitrary topology and to embeddings without bounded geometry and with contact points. We used these results in an earlier paper to describe the moduli spaces of smooth conjugacy classes of expanding maps and Markov maps on train tracks. In later papers we will use those results to do the same for pseudo-Anosov diffeomorphisms of surfaces. These results are also used in the classification of renormalisation limits of C-1+alpha diffeomorphisms of the circle.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24