Seminario del 2020

Novembre
26
2020
Anna Miriam Benini (Università di Parma)
Infinite entropy for transcendental entire functions
nell'ambito della serie: DINAMICI: ANOTHER INTERNET SEMINAR
sistemi dinamici
Defining entropy on noncompact metric spaces is a tricky business, since there are several natural and nonequivalent generalizations of the usual notions of entropy for continuous maps on compact spaces. By defining entropy for transcendental maps on the complex plane as the sup over the entropy restricted to compact forward invariant subsets, we prove that with this definition the entropy of such functions is infinite. The proof relies on covering results which are distinctive to holomorphic maps.
organizzato da: Marco Lenci & comitato organizzatore DAI Seminar

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