Analysis Math-Physics Seminar | |

Topic: | Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials |

Speaker: | Christoph Marx |

Affiliation: | Oberlin College |

Date: | Wednesday, January 25 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

Video Link: | https://video.ias.edu/mathphysics/2017/0125-ChristophMarx |

In this talk we will quantify the coupling asymptotics for the Lyapunov exponent (LE) of a one-frequency quasi-periodic Schrödinger operator with analytic potential sampling function. By proving an asymptotic formula for the LE valid for all irrational frequencies, our result refines the well-known lower bound by Sorets and Spencer.