Geometrical and Statistical Aspects of Probability in Banach Spaces

A brief survey of Antoine Ehrhard's scientific work.- Invariance principles for the empirical measure of a mixing sequence and for the local time of markov processes.- Almost exchangeable sequences in Lq, 1 ? q <2.- An application of a martingale inequality of dubins and freedman to the law of large numbers in Banach spaces.- On the small balls condition in the central limit theorem in uniformly convex spaces.- Some remarks on the uniform convergence of Gaussian and Rademacher Fourier quadratic forms.- Rates of convergence in the central limit theorem for empirical processes.- Mean square convergence of weak martingales.- Metric entropy and the central limit theorem in Banach spaces.