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math.DS2013
The Recurrence Rate and Hausdorff Dimension of a Neighbourhood of some Typical Point in the Julia Set of a Rational Map
Shrihari Sridharan
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 aroun…
math.DS2013
Spectral triple and Sinai - Ruelle - Bowen measures
Shrihari Sridharan
In this article, we recover the Sinai - Ruelle - Bowen measure associated to a real-valued Hölder continuous function defined on the Julia set of a hyperbolic quadratic polynomial,…