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Renormalizable Hénon-like maps and unbounded geometry

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Hazard, P. E., Lyubich, M and Martens, M. (2012) Renormalizable Hénon-like maps and unbounded geometry. Nonlinearity, Vol.25 (No.2). pp. 397-420. ISSN 0951-7715

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Official URL: http://dx.doi.org/10.1088/0951-7715/25/2/397

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Nonlinearity
Publisher: Institute of Physics Publishing Ltd.
ISSN: 0951-7715
Date: February 2012
Volume: Vol.25
Number: No.2
Page Range: pp. 397-420
Identification Number: 10.1088/0951-7715/25/2/397
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: FAPESP
Grant number: 2008/10659-1
URI: http://wrap.warwick.ac.uk/id/eprint/42160

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