Table of Contents

Random Series, Exponential Moments, and Martingales.- Convergence a.s. of rearranged random series in Banach space and associated inequalities.- On the Rademacher series.- On separability of families of reversed submartingales.- Sharp exponential inequalities for the Martingales in the 2-smooth Banach spaces and applications to “scalarizing” decoupling.- Strong Limit Theorems.- Random fractals generated by oscillations of processes with stationary and independent increments.- Some generalized Martingales arising from the strong law of large numbers.- Uniform ergodic theorems for dynamical systems under VC entropy conditions.- GB and GC sets in ergodic theory.- Weak Convergence.- On the central limit theorem for multiparameter shastic processes.- Une caractérisation des espaces de Fréchet nucléaires.- A weighted central limit theorem for a function-indexed sum with random point masses.- On the rate of convergence in the CLT with respect to the Kantorovich metric.- Burgers’ topology on random point measures.- On the topological description of characteristic functionals in infinite dimensional spaces.- Large Deviations and Measure Inequalities.- Projective systems in large deviation theory II: some applications.- Some large deviation results for Gaussian measures.- A remark on the median and the expectation of convex functions of Gaussian vectors.- Comparison results for the small ball behavior of Gaussian random variables.- Some remarks on the Berg-Kesten inequality.- Gaussian Chaos and Wiener Measures.- On Girsanov type theorem for anticipative shifts.- A necessary condition for the continuity of linear functionals of Wick squares.- Multiple Wiener-Itô integral processes with sample paths in Banach function spaces.- A remark on Sudakov minoration for chaos.-Topics in Empirical Processes, Spacing Estimates, and Applications to Maximum Likelihood Theory.- On the weak Bahadur-Kiefer representation for M-estimators.- Shastic differentiability in maximum likelihood theory.- A uniform law of large numbers for set-indexed processes with applications to empirical and partial-sum processes.- Bahadur-Kiefer approximation for spatial quantiles.- Maximum spacing estimates: a generalization and improvement on maximum likelihood estimates I.