Singular components of spectral measures for ergodic Jacobi matrices

For ergodic 1d Jacobi operators we prove that the random singular components of any spectral measure are almost surely mutually disjoint as long as one restricts to the set of positive Lyapunov exponent. In the context of extended Harper's equation this yields the first rigorous proof of the Th...

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Veröffentlicht in:	arXiv.org 2011-06
1. Verfasser:	Marx, C A
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Ergodic processes Mathematics - Spectral Theory Operators (mathematics)
Online-Zugang:	Volltext
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