Analysis Seminar | |

Topic: | Two-dimensional random field Ising model at zero temperature |

Speaker: | Jian Ding |

Affiliation: | The Wharton School, The University of Pennsylvania |

Date: | Friday, April 5 |

Time/Room: | 2:00pm - 3:00pm/Simonyi Hall 101 |

Video Link: | https://video.ias.edu/analysis/2019/0405-JianDing |

I will discuss random field Ising model on $Z^2$ where the external field is given by i.i.d. Gaussian variables with mean zero and positive variance. I will present a recent result that at zero temperature the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary. This is based on joint work with Jiaming Xia.