Equilibrium of Markov ChainsExplores equilibrium in Markov Chains, covering invariant distributions, properties determination, and practical applications.
Markov Chains and ApplicationsExplores Markov chains, their properties, and algorithmic applications, emphasizing information quantification and state monotonicity.
Markov Chains DecompositionExplores the decomposition of Markov chains into communicating classes and the behavior of long-run averages.
Markov Chains: Communicating ClassesExplores communicating classes in Markov chains, distinguishing between transient and recurrent classes, and delves into the properties of these classes.
Geometry and Least SquaresDiscusses the geometry of least squares, exploring row and column perspectives, hyperplanes, projections, residuals, and unique vectors.
Continuous Time Markov ChainsIntroduces continuous time Markov chains on a finite state space with exponential waiting times and jump probabilities.