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On thermodynamics of rational maps on the Riemann sphere
Published online by Cambridge University Press: 03 May 2007
Abstract
We show that there is a spectral gap for the transfer operator associated with a rational map $f$ on the Riemann sphere. Using this and the method of perturbed operators, we establish the (local) central limit theorem for the measure of maximal entropy of $f$, with an estimate on the speed of convergence.
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- 2007 Cambridge University Press
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