Fine Structure of the Zeros of Orthogonal Polynomials, IV. A Priori Bounds and Clock Behavior

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dc.creatorLast, Yoram
dc.creatorSimon, Barry
dc.date2006-06-01
dc.date.accessioned2026-07-07T07:14:44Z
dc.date.available2026-07-07T07:14:44Z
dc.descriptionWe prove locally uniform spacing for the zeros of orthogonal polynomials on the real line under weak conditions (Jacobi parameters approach the free ones and are of bounded variation). We prove that for ergodic discrete Schrodinger operators, Poisson behavior implies positive Lyapunov exponent. Both results depend on a priori bounds on eigenvalue spacings for which we provide several proofs.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/math/0606038
dc.identifierhttp://arxiv.org/abs/math/0606038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113001
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subject05E35, 30C15, 47B36
dc.titleFine Structure of the Zeros of Orthogonal Polynomials, IV. A Priori Bounds and Clock Behavior
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