Methods covered include the second moment method, the Lov\'asz local lemma, correlation inequalities, martingale's and tight concentration, Janson's inequality, branching processes, coupling and the differential equations method for discrete random processes. Objects studied include the configuration model for random regular graphs, Markov chains, and the phase transition in the Erd\H{o}s-R\'enyi random graph.

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** Week 8:** spring break.

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