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Chambers formulas and semiclassical analysis for generalized Harper's butterflies

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Periodic and Ergodic Spectral Problems

If the first mathematical results were obtained more than 30 years ago with the interpretation of the celebrated Hofstadter butterfly, more recent experiments in Bose-Einstein theory suggest new questions. I will start with a partial survey on old results of Helffer-Sjstrand and Kerdelhue and then discuss more recent questions related to generalized butterflies (Dalibard and coauthors, Hou, Kerdelhue—Royo-Letelier). These new questions are strongly related to Harper on triangular or hexagonal lattices (in connection with the now very popular graphene). Our historics is focused on the mathematical results.

This talk is part of the Isaac Newton Institute Seminar Series series.

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