- journal article metadata
European Mathematical Society Publishing House
2018-02-05 23:30:02
Journal of Spectral Theory
J. Spectr. Theory
JST
1664-039X
1664-0403
Quantum theory
10.4171/JST
http://www.ems-ph.org/doi/10.4171/JST
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2018
1
Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials
Christoph
Marx
Oberlin College, USA
Laura
Shou
Princeton University, USA
Jake
Wellens
Massachusetts Institute of Technology, Cambridge, USA
Zero Lyapunov exponent, Avila global theory, absolutely continuous spectrum
We give a criterion implying subcritical behavior for quasi-periodic Schrödinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical behavior, in the sense of Avila’s global theory, is known to imply purely absolutely continuous spectrum for all irrational frequencies and all phases.
Operator theory
Dynamical systems and ergodic theory
Difference and functional equations
123
163
10.4171/JST/192
http://www.ems-ph.org/doi/10.4171/JST/192
2
2
2018