Geometry and probability in dynamical systems: fundamentals and applications
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands - England
[2] SUNY Stony Brook, Inst Math Sci, Stony Brook, NY 11794 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Nonlinearity; v. 25, n. 2, p. 397-420, FEB 2012. |
| Web of Science Citations: | 1 |
| Abstract | |
We show that given a one-parameter family F-b of strongly dissipative infinitely renormalizable Henon-like maps, parametrized by a quantity called the `average Jacobian' b, the set of all parameters b such that F-b has a Cantor set with unbounded geometry has full Lebesgue measure. (AU) | |
| FAPESP's process: | 08/10659-1 - Renormalisation in the Hénon family |
| Grantee: | Peter Edward Hazard |
| Support type: | Scholarships in Brazil - Post-Doctorate |