arXiv:1310.4655 Abstract | arXiv Analytics

arXiv:1310.4655 [math.DS]Abstract References Reviews Resources

The Recurrence Rate and Hausdorff Dimension of a Neighbourhood of some Typical Point in the Julia Set of a Rational Map

Published 2013-10-17Version 1

In this article, we consider hyperbolic rational maps restricted on thier Julia sets and study about the recurrence rate of typical orbits in arbitrarily small neighbourhoods around them and their relationship to the Hausdorff dimension of such small neighbourhoods.

Comments: 18 pages

Categories: math.DS

Subjects: 37F10, 37F15, 37F35

Keywords: hausdorff dimension, recurrence rate, typical point, thier julia sets, hyperbolic rational maps

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