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Almost Periodic Jacobi Matrices

Part of the Theoretical,Mathematical Physics book series (TMP)

Abstract

This chapter deals with almost periodic Hamiltonians. Those operators have much in common with random Hamiltonians; consequently, Caps.9 and 10 are intimately connected. Almost periodic Jacobi matrices, as well as their continuous counterparts, have been the subjects of intensive research in the last years. They show surprising phenomena such as singular continouous spectrum. pure point spectrum and absolutely continuous spectrum that is nowhere dense!

Keywords

Continuous Spectrum Haar Measure Point Spectrum Periodic Sequence Mathieu Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

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