b. Probability Theory : Random matrices. Stochastic processes. Statistical physics. Random graphs. Stable random fields. Gaussian free field. Branching random walk. Maxima of random variables. Record sequences. Multivariate regular variation, asymptotic independence, conditional extreme value model. Random Recursions. Ruin probabilities, random sum. Urn models. Free probability. Long range dependence. Percolation. Random walk in random environment. Convergence rates in central limit theorem. Large deviations. Heavy tailed random variables.
