3 papers
math.DS2025
Physics-informed spectral approximation of Koopman operators
Claire Valva, Dimitrios Giannakis
Koopman operators and transfer operators represent nonlinear dynamics in state space through its induced action on linear spaces of observables and measures, respectively. This fra…
physics.ao-ph2024
The QBO, the annual cycle, and their interactions: Isolating periodic modes with Koopman analysis
Claire Valva, Edwin P. Gerber
The Quasi-Biennial Oscillation (QBO) is the dominant mode of variability in the equatorial stratosphere. It is characterized by alternating descending easterly and westerly jets ov…
math.DS2024
Consistent spectral approximation of Koopman operators using resolvent compactification
Claire Valva, Dimitrios Giannakis
Koopman operators and transfer operators represent dynamical systems through their induced linear action on vector spaces of observables, enabling the use of operator-theoretic tec…