Localization Schemes

This course on Localization Schemes aims to teach students how to analyze the mixing time of Markov chains on continuous space and discrete hypercube using localization schemes. The course covers topics such as stochastic localization on Euclidean space, sampling Ising models, and analyzing Glauber dynamics for sampling the hardcore model. The course is designed for individuals interested in probability theory, Markov chains, and high dimensional concentration. The teaching method involves lectures and theoretical explanations of localization schemes and their applications in various scenarios.