Abstract: A hundred years ago, Einstein wondered about quantization conditions for classically ergodic systems. Although a mathematical description of the spectrum of Schr?dinger operators associated to ergodic classical dynamics is still completely missing, a lot of progress has been made on the delocalization of the associated eigenfunctions
本文讨论尝补辫濒补肠别算子的特征函数的遍历性质。首先研究对于紧搁颈别尘补苍苍流形的量子遍历性定理和量子唯一遍历性猜想，然后再考虑非紧流形上的类似问题。作者还研究了正则图上的尝补辫濒补肠别算子的特征函数的分布问题，如：量子遍历性。最后讨论随机正则图的量子唯一遍历性，算术量子遍历性和高亏格搁颈别尘补苍苍曲面上的量子遍历性。
相关附件
14-PL013 Anantharaman
