演講公告

新聞標題：　( 2015-06-16 )

• 演講主題：NCTS/CMMSC Seminar on Probability and related Topics

• 主講人：陳偉國博士 (芝加哥大學)

• 演講日期：2015年6月18日 10:30起

• 演講地點：

• 摘要內容：
  

  交通大學數學建模與科學計算研究中心學術演講
  2015 NCTS/CMMSC Seminar on Probability and Statistics with Applications
  ==============================================
  Time: (I)10:30~11:30 SA307(科學一館307室)
  (II)13:30~14:30 SA213(科學一館213室)
  (I)Title: Quenched self-averaging properties in spin glasses with Gaussian disorder
  Abstract:
  In this talk, we will introduce a general spin glass model with Gaussian disorder and study quenched self-averaging properties of some physical quantities.
  These include the magnetization, the Hamiltonian and the cross overlap.
  As an example, we demonstrate how our results give quantitative upper bounds for the quenched self-averaging in the Edwards-Anderson model, the random field Ising model and the mixed p-spin model. Based on joint work with D. Panchenko.
  (II)Title: On some properties of the Parisi functional
  Abstract:
  This talk will be focused on the analytic studies of the Parisi functional and the two-dimensional Guerra-Talagrand (GT) bound in the mixed p-spin model. We will present a new approach, motivated by the theory of optimal stochastic control, to analyzing these two objects. We first compute the
  directional derivative of the Parisi functional and obtain equivalent criteria for the Parisi measure. Next we demonstrate how our approach provides an efficient control for the GT bound and yield several results on the positivity of the overlap and disorder chaos problem.

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