MATHEMATICAL PHYSICS | |

Topic: | Random Band Matrices |

Speaker: | Jeffrey Schenker |

Affiliation: | Member, School of Mathematics |

Date: | Friday, November 10 |

Time/Room: | 4:00pm - 5:00pm/S-101 |

Random band matrices have been proposed as an effective, or toy, model for a disorder induced localization-delocalization transition of eigenstates. Most results about these matrices, and the transition, are based on numerics or on calculations with a number of uncontrolled approximations. I will discuss this model and its context, presenting a number of interesting open problems, and discuss a rigorous bound on the localization length for eigenfunctions.