Lectures related to Markov Chain Monte Carlo

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers Markov chains decomposition, LLN proof, Inventory Model application, and average costs.

Explores the coupling of Markov chains and the proof of the ergodic theorem, emphasizing distribution convergence and chain properties.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.