Week 10 (April 29-30, 2026)
Schema della sezione
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Lecture 19 (29.04.26) - Space of trajectories of t-Markov chains: cadlag space D[0,T], metric and Skorohod topology (main properties and results).
Lecture 20 (30.04.26) - Markov processes: definition anf first properties. Markov semigroup and Markov property (equivalent formulation). Solutions of stochastic differential equations (SDE) - with Lipschitz coefficients - are Markov processes. Feller semigroup and processes: definition, some main properties (regularity of the trajectories) and strong Markov property.