Seminari di Sistemi Dinamici 2022

Discontinuities cause essential spectrum.

speaker: Giovanni Canestrari (Università degli Studi di Roma Tor Vergata)

abstract: In this seminar, I will introduce transfer operators associated to piecewise monotone interval transformations and and show that, for a large class of Banach spaces, the essential spectrum is large whenever the transformation fails to be Markov. After comparing our results with the literature, we show how to construct a family of Banach spaces which proves that the lower bound on the essential spectral radius is optimal. Indeed, these Banach spaces realise an essential spectral radius as close as desired to the theoretical best possible case.

timetable:
Wed 9 Nov, 15:00 - 16:00, Sala Conferenze Centro De Giorgi
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