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Lecture
Continuous-Time Markov Chains: Asymptotic Behavior
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Continuous-Time Markov Chains: Reversible Chains
Covers Mod.7 on continuous-time Markov chains, focusing on reversible chains and their applications in communication systems.
Markov Chains: Introduction and Properties
Covers the introduction and properties of Markov chains, including transition matrices and stochastic processes.
Continuous-Time Markov Chains: Reversible Chains
Covers continuous-time Markov chains, focusing on reversible chains and their properties.
Coupling of Markov Chains: Ergodic Theorem
Explores the coupling of Markov chains and the proof of the ergodic theorem, emphasizing distribution convergence and chain properties.
Stochastic Processes: Time Reversal
Explores time reversal in stationary Markov chains and the concept of detailed balance conditions.
Continuous-Time Markov Chains: Reversible Chains
Covers reversible continuous-time Markov chains and their properties.
Continuous-Time Markov Chains: Kolmogorov Equations
Covers continuous-time Markov chains and Kolmogorov equations in stochastic communication models.
Continuous-Time Markov Chains: Kolmogorov Equations
Covers the equations of Kolmogorov for continuous-time Markov chains.
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 the application of Markov chains and algorithms for function optimization and graph colorings.