AbstractThe theory of wave turbulence is the statistical theory of interacting waves, or the wave analog of Boltzmann's kinetic theory. It started in the works of Peierls in the 1920s, and has had substantial developments in the 20th century, with significant applications in science. The mathematical study of this subject started with the early works of Spohn and Erdös-Yau et al. on linear mode...
IntroductionMathematical statistics is the application of probability theory to data analysis. It involves collecting, organizing, analyzing, interpreting, and presenting data using rigorous mathematical methods. This course covers the basic principles and techniques of statistical theory for graduate students.Lecturer IntroSixu Liu received her Ph.D. degree from Peking University in 2019. She ...