Birth and Death Chains

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Theoreus Chain Role: Lipschitz Sit

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

Markov Chains: Theory and Applications

Covers the theory and applications of Markov chains in modeling random phenomena and decision-making under uncertainty.

Logic Systems: Finite State Machines

Explores Boolean algebra, optimization, sequential systems, and finite state machines design.

Generalization Error

Explores tail bounds, information bounds, and maximal leakage in the context of generalization error.

Markov Chain Convergence

Explores Markov chain convergence, emphasizing invariant distribution, Law of Large Numbers, and mean rewards computation.

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Hitting Probabilities: Markov Chains

Covers hitting probabilities in Markov chains with disjoint subsets, the function h(i), theorems, proofs, and expected time to hit calculations.

Markov Chains and Applications

Explores Markov chains and their applications in algorithms, focusing on user impatience and faithful sample generation.

Analysis IV: Measurable Sets and Properties

Covers the concept of outer measure and properties of measurable sets.

The Languages of Isabelle: Isar, ML, and Scala

Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.