Controlling strong scarring for quantized ergodic toral automorphisms

Simple item page
dc.creatorBonechi, F.
dc.creatorDe Bievre, S.
dc.date2002-02-21
dc.date.accessioned2026-07-07T05:33:56Z
dc.date.available2026-07-07T05:33:56Z
dc.descriptionWe show that in the semi-classical limit the eigenfunctions of quantized ergodic symplectic toral automorphisms can not concentrate in measure on a finite number of closed orbits of the dynamics. More generally, we show that, if the pure point component of the limit measure has support on a finite number of such orbits, then the mass of this component must be smaller than two thirds of the total mass. The proofs use only the algebraic (i.e. not the number theoretic) properties of the toral automorphisms together with the exponential instability of the dynamics and therefore work in all dimensions.
dc.descriptionLatex file, 19 pages
dc.identifierhttps://arxiv.org/abs/nlin/0202045
dc.identifierhttp://arxiv.org/abs/nlin/0202045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80177
dc.subjectChaotic Dynamics
dc.subjectMathematical Physics
dc.titleControlling strong scarring for quantized ergodic toral automorphisms
dc.typetext

Files

Collections

arXiv