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- W159932319 abstract "We study how the orbits of the singularities of the inverse of a meromorphic function prescribe the dynamics on its Julia set, at least up to a set of (Lebesgue) measure zero. We concentrate on a family of entire transcendental functions with only finitely many singularities of the inverse, counting multiplicity, all of which either escape exponentially fast or are pre-periodic. For these functions we are able to decide, whether the function is recurrent or not. In the case that the Julia set is not the entire plane we also obtain estimates for the measure of the Julia set. MSC: 37F10}" @default.
- W159932319 created "2016-06-24" @default.
- W159932319 creator A5028966293 @default.
- W159932319 date "2006-07-07" @default.
- W159932319 modified "2023-10-16" @default.
- W159932319 title "Measurable dynamics of meromorphic maps" @default.
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