Starts 28 Jul 2022 16:00
Ends 28 Jul 2022 17:00
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Discontinuities cause essential spectrum
Online
Leonardo Building - Luigi Stasi Seminar Room
Please register in advance for this meeting:
https://zoom.us/meeting/register/tJwsfuCpqDItHtVH3zEEI4EJxD9zuyWNbhlY
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Abstract: We study transfer operators associated to piecewise monotone interval transformations and show that the essential spectrum is large for any relevant Banach space when the transformation fails to be Markov. Constructing a family of Banach spaces we show 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.
https://zoom.us/meeting/register/tJwsfuCpqDItHtVH3zEEI4EJxD9zuyWNbhlY
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: We study transfer operators associated to piecewise monotone interval transformations and show that the essential spectrum is large for any relevant Banach space when the transformation fails to be Markov. Constructing a family of Banach spaces we show 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.
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Seminar Room (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.