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Chambers formulas and semiclassical analysis for generalized Harper's butterflies

Date: 
Wednesday 25th March 2015 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
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-Sjöstrand 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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons