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Lecture
Equilibrium of Markov Chains
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Markov Chains: Introduction and Properties
Covers the introduction and properties of Markov chains, including transition matrices and stochastic processes.
Markov Chains: Ergodicity and Stationary Distribution
Explores ergodicity and stationary distribution in Markov chains, emphasizing convergence properties and unique distributions.
Markov Chains: Theory and Applications
Covers the theory and applications of Markov chains in modeling random phenomena and decision-making under uncertainty.
Stochastic Processes: Markov Chains
Covers stochastic processes, focusing on Markov chains and their applications in real-world scenarios.
Markov Chains: Reversibility & Convergence
Covers Markov chains, focusing on reversibility, convergence, ergodicity, and applications.
Markov Chains: Applications and Coupled Chains
Covers Markov chains, coupled chains, and their applications, emphasizing the importance of irreducibility.
Markov Chains and Algorithm Applications
Covers Markov chains and their applications in algorithms, focusing on Markov Chain Monte Carlo sampling and the Metropolis-Hastings algorithm.
Markov Chains and Applications
Explores Markov chains and their applications in algorithms, focusing on user impatience and faithful sample generation.
Markov Chains and Algorithm Applications
Covers the application of Markov chains and algorithms for function optimization and graph colorings.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.