DYNAMICS AND SPECTRA OF QUASIPERIODIC SCHRODINGER OPERATORS
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Qi Zhou
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Naikai University
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Peoples Rep of China
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Lingrui Ge
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Peking University
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Peoples Rep of China
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Ilya Kachkovskiy
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Michigan State University
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USA
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Introduction:
| Quasiperiodic operators, developed as a part of the general theory of ergodic operators, have been one of the central research areas since the late 1970s. The theory was motivated by the studies of electron transport in various materials, such as crystals and quasicrystals, and serves as the theoretical underpinning of the Quantum Hall Effect, as well as other important physics phenomena. This session aims to facilitate academic discussions on the dynamics and spectral theory of quasiperiodic operators, covering topics such as Anderson localization, fractal related problems, KAM theory, and dynamics of cocycles. This section will bring together leading experts and promising junior researchers with interests in the study of the effects of quasiperiodicity, or other stationary environments of physics interest, and contribute to a more profound comprehension of its implications in the context of quantum theory.
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