Matsubara Dynamics: Time-correlation Functions

This lecture covers Matsubara dynamics, time-correlation functions, detailed balance, Kubo-transformed time-correlation functions, and the integration of fuzzy modes. It discusses the concepts of quantum statistics, classical dynamics, and the LSC-IVR method. The lecture also explores the cyclic permutational invariance, ring-polymer normal modes, and the Moyal series. The analytical continuation of Matsubara dynamics and the sign problem are addressed, along with the linear time-correlation functions and the position auto-correlation function for V(q). References to related research articles are provided.