Recurrence and transience: proofs

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Delves into Emma Kunz's 'Stylization and Form' artwork, emphasizing measure, rhythm, symbols, and metamorphosis of numbers.

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Explores the construction of measures, focusing on positive functionals and their properties in measure theory.

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

Covers the definitions and state probabilities of discrete-time Markov chains.

Covers Markov chains, Metropolis algorithm, Glauber dynamics, and heat bath dynamics.

Explores first passage times, strong Markov property, and state recurrence/transience in Markov chains.

Covers the definitions and state probabilities of discrete-time Markov chains.

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