2 papers
math-ph2025
Analog and Symbolic Computation through the Koopman Framework
Francesco Caravelli, Jean-Charles Delvenne
We develop a Koopman operator framework for studying the {computational properties} of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides…
cond-mat.stat-mech2025
Spectral Methods in Complex Systems
Francesco Caravelli
These notes offer a unified introduction to spectral methods for the study of complex systems. They are intended as an operative manual rather than a theorem-proof textbook: the em…