INFINITELY RENORMALIZABLE DIFFEOMORPHISMS OF THE DISK AT THE BOUNDARYOF CHAOS

Authors
CATSIGERAS E GAMBAUDO JM MOREIRA F
Citation
E. Catsigeras et al., INFINITELY RENORMALIZABLE DIFFEOMORPHISMS OF THE DISK AT THE BOUNDARYOF CHAOS, Proceedings of the American Mathematical Society, 126(1), 1998, pp. 297-304
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
1
Year of publication
1998
Pages
297 - 304
Database
ISI
SICI code
0002-9939(1998)126:1<297:IRDOTD>2.0.ZU;2-K
Abstract
We show that, among area contracting embeddings of the 2-disk, infinit ely renormalizable maps with a bounded geometry either have positive t opological entropy or correspond to a cascade of period doubling.