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Continuous spectrum for a class of smooth mixing Schrödinger operators

Published online by Cambridge University Press:  02 May 2017

BASSAM FAYAD  and
YANHUI QU Open the ORCID record for YANHUI QU [Opens in a new window]
BASSAM FAYAD
Affiliation:
CNRS, IMJ-PRG, Institut de Mathématiques de Jussieu, UMR7586 Bâtiment Sophie Germain, 75205 Paris Cedex 13, France email [email protected]
YANHUI QU
Affiliation:
Department of Mathematical Science, Tsinghua University, Beijing 100084, PR China email [email protected]
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Abstract

We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schrödinger operators on the line defined with a potential generated by this system and a Hölder sampling function have almost surely a continuous spectrum.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 2 , February 2019 , pp. 357 - 369
Copyright
© Cambridge University Press, 2017 

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