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Lecture
Continuous-Time Markov Chains: Kolmogorov Equations
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Markov Chains: Theory and Applications
Covers the theory and applications of Markov chains in modeling random phenomena and decision-making under uncertainty.
Stochastic Models for Communications: Discrete-Time Markov Chains - First Passage Time
Explores discrete-time Markov chains, emphasizing the concept of first passage time in communication systems.
Stochastic Models for Communications: Discrete-Time Markov Chains - Absorption Time
Discusses discrete-time Markov chains and absorption time in communication systems.
Markov Chain Games
Explores Markov chain games, hitting probabilities, and expected hitting times in a target set.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Discrete-Time Markov Chains: Absorbing Chains Examples
Explores examples of absorbing chains in discrete-time Markov chains, focusing on transition probabilities.
Continuous-Time Markov Chains: Asymptotic Behavior
Explores the asymptotic behavior of continuous-time Markov chains and their convergence properties.
Discrete-Time Markov Chains: Reversible Chains
Covers reversible discrete-time Markov chains in communication models.
Invariant Distributions: Markov Chains
Explores invariant distributions, recurrent states, and convergence in Markov chains, including practical applications like PageRank in Google.
Continuous-Time Markov Chains: Reversible Chains
Covers continuous-time Markov chains, focusing on reversible chains and their properties.