Hausdorff dimension versus smoothness

There is a one-to-one correspondence between C1+H Cantor exchange systems that are C1+H fixed points of renormalization and C1+H diffeomorphisms f on surfaces with a codimension 1 hyperbolic attractor Λ that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Λ....

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Bibliographic Details
Main Author: Ferreira, Flávio (author)
Other Authors: Pinto, Alberto A. (author), Rand, David A. (author)
Format: bookPart
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10400.22/7045
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/7045