无序玻色子和无序费米子系统最大本征值的大偏差
Large deviations for the largest eigenvalue of disordered bosons and disordered fermionic systems
摘要:
我们证明了一类双正交和多重正交多项式系综最大本征值的大偏差原理,其中包括无序玻色子和Angelesco系综的Lueck,Sommers和Zirnbauer的矩阵模型.此外,我们还考虑了介观物理中的矩阵系综。
英文摘要:
We prove a large deviations principle for the largest eigenvalue of a class of biorthogonal and multiple orthogonal polynomial ensembles that includes a matrix model of Lueck, Sommers and Zirnbauer for disordered bosons and Angelesco ensembles. Moreover we consider matrix ensembles in mesoscopic physics.
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