Bellissard, Jean

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Now showing 1 - 3 of 3
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    Persistence of Topological Invariants Under Disorder
    (Georgia Institute of Technology, 2018-05-14) Bellissard, Jean
    A review of the techniques on Non-commutative Geometry to express rigorously the topological invariants, like in the Quantum Hall Effect or Topological Insulators will be provided. It will include some numerical work by Emil Prodan based on these techniques. It will be shown that these invariants are associated with K-theory and are robust under adding disorder to the system under study.
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    Mathematical aspects of aperiodic solids
    (Georgia Institute of Technology, 2013-09) Bellissard, Jean
    The ultimate goal of the program is to develop a mathematical theory liable to describe the physical properties of all aperiodic solids and perhaps liquids as well. Are involved the electronic properties, the electronic transport, the diffraction and propagation of various waves degrees of freedom (phonons, spinon), the description of the structure of the solid, of the atomic movement, the passage from a microscopic to a macroscopic description of mechanical properties (elasticity, plasticity, fractures, viscosity for liquids).
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    Theory of aperiodic solids
    (Georgia Institute of Technology, 2003-05-15) Bellissard, Jean