Lyapunov exponents at anomalies of SL(2,R)-actions

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dc.creatorSchulz-Baldes, Hermann
dc.date2006-07-12
dc.date.accessioned2026-07-07T07:20:32Z
dc.date.available2026-07-07T07:20:32Z
dc.descriptionAnomalies are known to appear in the perturbation theory for the one-dimensional Anderson model. A systematic approach to anomalies at critical points of products of random matrices is developed, classifying and analysing their possible types. The associated invariant measure is calculated formally. For an anomaly of so-called second degree, it is given by the groundstate of a certain Fokker-Planck equation on the unit circle. The Lyapunov exponent is calculated to lowest order in perturbation theory with rigorous control of the error terms.
dc.identifierhttps://arxiv.org/abs/math-ph/0607026
dc.identifierhttp://arxiv.org/abs/math-ph/0607026
dc.identifierOperator Theory: Advances and Applications, OTAMP Proceedings 2002, Bedlewo, Birkhaeuser
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114984
dc.subjectMathematical Physics
dc.titleLyapunov exponents at anomalies of SL(2,R)-actions
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