Reflectionless Herglotz functions and generalized Lyapunov exponents

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dc.creatorPoltoratski, Alexei
dc.creatorRemling, Christian
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:32Z
dc.date.available2026-07-07T09:41:32Z
dc.descriptionWe study several related aspects of reflectionless Jacobi matrices. Our first set of results deals with the singular part of reflectionless measures. We then introduce and discuss Lyapunov exponents, density of states measures, and other related quantities in a \textit{general} setting. This is related to the previous material because the density of states measures are reflectionless on certain sets.
dc.identifierhttps://arxiv.org/abs/0805.4439
dc.identifierhttp://arxiv.org/abs/0805.4439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161863
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject31A20; 34L40; 81Q10
dc.titleReflectionless Herglotz functions and generalized Lyapunov exponents
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