Spectra of transfer and Koopman operators

18 Jun 2024, 16:40
50m
PISA

PISA

Scuola Normale Superiore, Via del Castelletto, 11, 56126 Pisa PI

Speaker

Prof. Julia Slipantschuk (University of Warwick)

Description

This talk will be about computation and approximation of spectral data of transfer operators and Koopman operators associated to holomorphic expanding and hyperbolic discrete dynamical systems. I will present a special class of systems with explicitly computable eigenvalues. In a more general setting, I will discuss convergence results of algorithms such as Lagrange-Chebyshev or EDMD to approximate spectral data and obtain rigorous bounds in various applications.

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