Record: YesLevel: GraduateLanguage: ChinesePrerequisitebasic knowledge of measure theory, stochastic process, functional analysis and topologyAbstractWe will introduce basis knowledge of ergodic theory, and its relationship with dynamical systems. This course includes topics on measure-preserving transformation, entropy and topological entropy.Reference1. Peter Walters: An introduction to erg...
AbstractEach configuration in a quantum field theory corresponds to a map from a space X of functions or bundles with sections to the space of complex numbers. These maps are called Schrodinger wave functionals. They generalize wave functions in quantum mechanics, which are maps from a finite-dimensional manifold to the complex numbers. We review the main properties of wave functions and wave f...
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