Week 3 (March 11-12, 2026)
Schema della sezione
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Lecture 5 (11.03.26) - Theorem of convergence to stationarity in finite spaces (proof).
Markov chain in general discrete space: first passage time, transience and recurrence (definition).Lecture 6 (12.03.26) - Local times (or number of visits), Green function and criterium for recurrence (theorem). Recurrence/transience and existence of invariant measures/distributions: main results and comments.
Characterization of the invariant measures for irreducible recurrent MC (theorem).