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math.DS2026
Long time stability for Lagrangian tori in infinite dimensional lattice systems
Livia Corsi, Michela Procesi
We consider a mechanical system of infinitely many rotators weakly interacting with each other and prove that the infinite dimensional invariant tori provided by \cite{CGP} are Lag…
math.DS2025
Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Jessica Elisa Massetti, Michela Procesi, Laurent Stolovitch
In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at . Under suitable hypotheses we prove the existence of analytic…