機率研討會
主講者: 陳偉國 博士 ( University of Chicago )
講題: Chaos problem in mean field spin glasses
時間: 2012-08-03 (Fri.)  14:10 -
地點: 數學所 722 研討室 (台大院區)
Abstract: The main objective in spin glasses from the physical perspective is to understand the strange magnetic properties of certain alloys. Yet the models invented to explain the observed phenomena are also of a rather fundamental nature in mathematics. In this talk we will first introduce the famous Sherrington-Kirkpatrick model as well as some known results about this model such as the Parisi formula and the limiting behavior of the Gibbs measure. Next, we will discuss the problems of chaos in the mixed p-spin models and present mathematically rigorous results including disorder, external field, and temperature chaos.
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