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Anna Miriam Benini (Università di Parma, Italy)

November 26, 2020 @ 5:00 pm - 6:00 pm CET

Speaker: Anna Miriam Benini  (Università di Parma, Italy)

Title: Infinite entropy for transcendental entire functions

Abstract:  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.

NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.


November 26, 2020
5:00 pm - 6:00 pm CET
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Seminar is over: see YouTube recording
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DAI Seminar Committee
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The Community of Italian Dynamicists