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Hedgehogs of Hausdorff dimension one

Published online by Cambridge University Press:  15 October 2008

KINGSHOOK BISWAS
KINGSHOOK BISWAS*
Affiliation:
UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555, USA (email: kingshook@rkmvu.ac.in) Ramakrishna Mission Vivekananda University, PO Belur Math, Dt Howrah WB 711 202, India
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Abstract

We present a construction of hedgehogs for holomorphic maps with an indifferent fixed point. We construct, for a family of commuting nonlinearizable maps, a common hedgehog of Hausdorff dimension one, the minimum possible.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 6 , December 2008 , pp. 1713 - 1727
Copyright
Copyright © 2008 Cambridge University Press

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