CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2018-2019

seminar: About the Fatou-Shishikura Inequality for transcendental maps

speaker: Anna Miriam Benini (Universita' di Parma)

abstract: How many nonrepelling cycles can a transcendental map $f$ have? We will give a combinatorial proof of the classical Fatou-Shishikura inequality for transcendental maps, under the assumption that periodic rays land. The classical version gives a bound on the number of nonrepelling cycles in terms of the number of 'singular values'. Our inequality will include repelling periodic orbits which are not landing point of any periodic ray.

Wed 17 Oct, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
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