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Meromorphic Dynamics from Part I - Ergodic Theory and Geometric Measures
Published online by Cambridge University Press: 20 April 2023
We deal, in this chapter, with refined stochastic laws for dynamical systems preserving an infinite measure. This is primarily the Darling–Kac Theorem. We make use of some recent progress on this theorem and related issues, mainly due to Zweimüller, Thaler, Theresiu, Melbourne, Gouëzel, Bruin, Aaronson, and others, but we do not go into the most recent subtleties and developments of this branch of infinite ergodic theory. We do not need them for our applications to elliptic functions.
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