A Zd Ergodic Theorem with Large Normalising Constants -- A Repeated Filling Scheme for Upcrossings -- When is a Transitive Map Chaotic? -- Une Nouvelle Loi Forte des Grands Nombres -- An Approximation Condition for Large Deviations and Some Applications -- Sets of Recurrence and Generalized Polynomials -- The Strong Arc-Sine Law in Higher Dimensions -- Integer and Fractional Parts of Good Averaging Sequences in Ergodic Theory -- The Uniqueness of Induced Operators -- On Convergence of Partial Sums of Independent Random Variables -- Harmonic Analysis of Operators Associated with a Multiparameter Group of Dilations -- Markov Matrices -- Existence and Continuity of the Quadratic Variation of Strong Martingales -- Convergence Rate in the Strong Law of Large Numbers for Markov Chains -- A Mean Ergodic Theorem for [xxx] -- Convergence of Ergodic Averages -- Bourgain's Entropy Criteria -- Self-Intersections of Closed Geodesies on a Negatively Curved Surface: Statistical Regularities -- A Note on the Law of the Iterated Logarithm for Weighted Sums of Independent Identically Distributed Random Variables -- Besicovitch Functions and Weighted Ergodic Theorems for LCA Group Actions -- A Remark on the Strong Sweeping Out Property -- Ergodic Invertible Liftings -- The Uniform Ergodic Theorem for Dynamical Systems -- Pointwise Fourier Inversion and Related Jacobi Polynomial Expansions -- The Distribution of the Particles of a Branching Random Walk -- On a Random Ergodic Theorem for Bistochastic Operators -- A Central Limit Theorem for Conditional Distributions -- Complex Methods in the Calculation of Some Distribution Functions -- Exponential Integrability of Rademacher Series -- Weighted Averages of Contractions Along Subsequences -- On Uniform Distribution of Sequences -- Ergodic Theorems for Exit Laws -- On Skew Products of Irrational Rotations with Tori.