Description: We will introduce the problems and methods on eigenfunctions of the Laplacian.Contents: Review of the Laplacian and the d'Alembertian, the Hadamard parametrix, the sharp Weyl formula, stationary phase and microlocal analysis, improved spectral asymptotics and periodic geodesics, classical and quantum ergodicity.Prerequisite:Real analysis, functional analysisReference:C.D. Sogge, ...
Record: YesLevel: GraduateLanguage: ChinesePrerequisiteComputer Science, Machine Learning, PythonAbstractNatural Language Processing (NLP) is an important research area in Artificial Intelligence. NLP mainly studys how to use computer technology to process linguistic texts. The specific research problems in NLP includes recognition, classification, extraction, transformation and generation of l...