Classifying C1+ structures on dynamical fractals: 2. Embedded trees

• Tipo: Artigo em Revista Científica Internacional
• Data: 1995

Autores

Alberto A. Pinto (Autor) FCUP; Rand, DA (Autor) Outra

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 15

Páginas: 969-992

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

Scopus - 14 Citações

Outras Informações

ID Authenticus: P-00K-KGR

DOI: 10.1017/s014338570000972x

Abstract (EN): We classify the C1+¿ 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 C1+¿ diffeomorphisms of the circle.

Idioma: Inglês

Tipo (Avaliação Docente): Científica