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Train tracks with C 1+ self-renormalizable structures |
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| Authors: | A.A. Pinto D.A. Rand |
| Affiliation: | 1. Departamento de Matemática , Universidade do Minho , 4710-057 , Braga , Portugal aapinto1@gmail.com;3. Mathematics Institute , University of Warwick , Coventry , CV4 7AL , UK |
| Abstract: | We prove a one-to-one correspondence between C 1+ conjugacy classes of diffeomorphisms with hyperbolic sets contained in surfaces and stable and unstable pairs of one-dimensional C 1+ self-renormalizable structures. |
| Keywords: | hyperbolic dynamics renormalization Markov maps minimal sets |