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Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization
partition functions integrable hierarchies Dyson gases
2010/4/2
The partition function for a canonical ensemble of 2D Coulomb charges in a background potential (the Dyson gas) is realized as a vacuum expectation value of a group-like element constructed in terms o...
文章研究如何获取球体约束下非线性优化的全局最小点。通过引入常微分方程和构造Canonical对偶函数的局部形式，文章推广完美对偶定理，勾勒出了原问题的KKT点和对偶问题的KKT点两者之间的关系。文章中给出了凸乘子定义、对偶定理和搜寻全局最优点的方法，并通过一些例子加以演示。