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math.DS2026
Rigidity of Mather's -function on a KAM set for analytic billiards-like maps and unique quasi-analytic continuation
Corentin Fierobe, Vadim Kaloshin, Frank Trujillo
In his seminal paper, Kac famously asked whether "one can hear the shape of a drum" - that is whether the isometry class of a bounded domain in a Euclidean space is uniquely determ…
math.DS2026
Non-autonomous KAM theory for lower dimensional invariant tori (II): Normally parabolic case
Donato Scarcella, Frank Trujillo
Dynamical systems subject to non-autonomous perturbations decaying in time arise naturally in many physical contexts, including laser-molecule interactions, epidemiological models,…
math.DS2026
Non-autonomous KAM theory for lower dimensional invariant tori (I): Normally elliptic and hyperbolic cases
Donato Scarcella, Frank Trujillo
Many physical phenomena are naturally modeled by dynamical systems subject to non-autonomous perturbations that decay in time, including the interaction of a laser pulse with a mol…