- Title题目 (Seminar) Replica Symmetry Breaking for mixed p-spin glass models
- Speaker报告人
- Date日期 下午4:00 @zoom
- Venue地点
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CAS Key Laboratory of Theoretical Physics | ||
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Institute of Theoretical Physics | ||
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Chinese Academy of Sciences | ||
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Seminar | ||
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Title 题目 |
Replica Symmetry Breaking for mixed p-spin glass models | |
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Speaker 报告人 |
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Affiliation 所在单位 |
University of Macao (澳门大学) | |
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Date 日期 |
2021年1月21日 下午4:00 -5:30 | |
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Venue 地点 |
https://zoom.com.cn/j/91809895116?pwd=dkhkSndrTmxDRmFVMjRuN2FPYWVlZz09 会议号：918 0989 5116 密码：511042 | |
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Contact Person 所内联系人 |
Hai-Jun Zhou | |
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Abstract 摘要 |
The mixed p-spin models (defined on discrete hypercubes or on spheres) are typical mean field spin glass models, which were introduced as approximation of the more realistic short range models in the 1970s. The celebrated Sherrington-Kirkpatrick (SK) model is a special mixed p-spin model. Starting in 1979, Giorgio Parisi wrote a series of ground breaking papers introducing the idea of replica symmetry breaking (RSB), which allowed him to predict a solution for the SK model by breaking the symmetry of replicas infinitely many times at low temperature. In this talk, we will show that in a certain sense Parisi's prediction holds at zero temperature for the Ising mixed p-spin model. On the other hand, we will show that there exist two-step RSB spherical mixed p-spin glass models at zero temperature. This talk is based on joint works with Antonio Auffinger (Northwestern University) and Wei-Kuo Chen (University of Minnesota). | |