2 papers
math.AP2025
Filamentation near monotone zonal vortex caps
Gian Marco Marin, Emeric Roulley
We study the Euler equations on a rotating unit sphere, focusing on the dynamics of vortex caps. Leveraging the -stability of monotone, longitude-independent profiles, we demo…
math.DS2023
Analiticity of the Lyapunov exponents of perturbed toral automorphisms
Gian Marco Marin, Federico Bonetto, Livia Corsi
We consider a dynamical system generated by an analytic perturbation of an analytic Anosov diffeomorphism of $\TTT^d$. We show that, if admit a splittin…