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Hedgehogs of Hausdorff dimension one

Authors :
Biswas, Kingshook
Publication Year :
2009

Abstract

We present a construction of hedgehogs for holomorphic maps with an indifferent fixed point. We construct, for a family of commuting non-linearisable maps, a common hedgehog of Hausdorff dimension 1, the minimum possible.<br />Comment: one figure omitted

Subjects

Subjects :
Mathematics - Dynamical Systems
Mathematics - Complex Variables
37F50

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0904.0061
Document Type :
Working Paper

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