3 papers
math.DS2026
On the structure of complex spectra and eigenfunctions of transfer and Koopman operators
Matheus M Castro, Gary Froyland
Complex eigenspectra of transfer and Koopman operators describe rotational motion in dynamical systems. A particularly relevant situation in applications is when the rotation speed…
math.DS2025
Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
Bernat Bassols Cornudella, Matheus M. Castro
We establish the conditioned stochastic stability of equilibrium states for Hölder potentials on uniformly hyperbolic sets. While standard stochastic stability characterises measu…
math.DS2025
On the cardinality of measures of maximal relative entropy for smooth skew products
Matheus M. Castro, Gary Froyland
Let and be compact smooth manifolds and let be a skew-product diffeomorphism over a transitive Anosov base. We show that $…