Complex energy landscape in disordered system

Events

Presentation Name：	Complex energy landscape in disordered system
Presenter：	Dr. Zhehua Li
Date：	2019-12-30
Location：	光华东主楼1501
Abstract：	Complex energy landscape with many metastable states is ubiquitous in many disordered systems ranging from statistical physics to high dimensional statistics, machine learning, biology and even social network. In this talk we focus on a wide class of simple glassy models characterized by a class of random Hamiltonians on the N-1 dimensional sphere of radius square root of N. It is known recently that these systems exhibit phase transitions in terms of the topology of energy landscape. In particular, when the sigmal-to-noise ratio is beyond some threshold, their ground states are conjectured to be replica-symmetric which is instrumental in characterizing dynamical behavior. We recently derive an explicit formula for their limiting ground states by combining techniques in spin glass theory and random matrices. Moreover we can characterize the mean number of deep minima near the bottom of the landscape which shows some interesting phenomenon beyond the physics picture onstage. 海报
Annual Speech Directory：	No.305

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