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Variations on discrete Floquet-Bloch Theory in positive characteristic

Date: 
Friday 30th July 2010 - 10:30 to 11:15
Venue: 
INI Seminar Room 1
Abstract: 
The classical Floquet theory deals with Floquet-Bloch solutions of periodic PDEs. A discrete version of this theory for difference vector equations on lattices, including the Floquet theory on infinite periodic graphs, was developed by Peter Kuchment. Here we propose a variation of this theory for matrix convolution operators acting on vector functions on lattices with values in a field of positive characteristic.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons