Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665965 | Advances in Mathematics | 2013 | 42 Pages |
Abstract
We give the first example of a quadratic map having a phase transition after the first zero of the geometric pressure function. This implies that several dimension spectra and large deviation rate functions associated to this map are not (expected to be) real analytic, in contrast to the uniformly hyperbolic case. The quadratic map we study has a non-recurrent critical point, so it is non-uniformly hyperbolic in a strong sense.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Daniel Coronel, Juan Rivera-Letelier,