3 papers
physics.flu-dyn2026
An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets
Jason Atnip, Gary Froyland, Péter Koltai +1
Lagrangian methods continue to stand at the forefront of the analysis of time-dependent dynamical systems. Most Lagrangian methods have criteria that must be fulfilled by trajector…
cs.SI2025
Multi-set spectral clustering of time-evolving networks using the supra-Laplacian
Gary Froyland, Manu Kalia, Péter Koltai
Complex time-varying networks are prominent models for a wide variety of spatiotemporal phenomena. The functioning of networks depends crucially on their connectivity, yet reliable…
math.DS2025
Avoiding spectral pollution for transfer operators using residuals
April Herwig, Matthew J. Colbrook, Oliver Junge +2
Koopman operator theory enables linear analysis of nonlinear dynamical systems by lifting their evolution to infinite-dimensional function spaces. However, finite-dimensional appro…