On the Dynamical Meaning of Spectral Dimensions

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dc.creatorGuarneri, Italo
dc.date1998-04-09
dc.date.accessioned2026-07-07T04:32:21Z
dc.date.available2026-07-07T04:32:21Z
dc.descriptionTime averaging over the trajectory of a wavepacket up to time T defines a statistical operator (density matrix). The corresponding (Von Neumann) entropy is proven to asymptotically increase with time like D.log T, with D the Hausdorff dimension of the Local Density of States, at least if the latter measure has good scaling properties. In more general cases, spectral upper and lower bounds for the increase of entropy are given, in terms of the Hausdorff and of the Fractal Dimension of the Local Density of States.
dc.description19 pages, LaTex, to appear in Ann. Inst. H. Poincare'
dc.identifierhttps://arxiv.org/abs/math-ph/9804009
dc.identifierhttp://arxiv.org/abs/math-ph/9804009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58161
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleOn the Dynamical Meaning of Spectral Dimensions
dc.typetext

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