Schema della sezione

  • Lecture 3 (04.03.26) - Genetic models (Wright's model): computation of the fixation probability (martingale methods). Interacting particle systems (Voter model on the torus): construction of the model; Markovian properties; computation of the total agreement probability (martingale methods).

    Lecture 4 (05.03.26) -  Invariant distributions: definition and comments on its existence and uniqueness; proof of existence in finite spaces (and counterexample in infinite space). Convergence to stationarity tools: irreducibility, aperiodicity and strong irreducibility; distance in total variation; coupling among distributions. Theorem of convergence to stationarity in finite spaces (statement).