Almost everywhere convergence II : proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16-20, 1989

Solution to a problem of A. Bellow universal weights from dynamical systems to mean-positive operators on Lp.I some connections between ergodic theory and harmonic analysis on Hopf's ergodic theorem for particles with different velocities a note on the strong law of large numbers for partial sums of independent random vectors summability methods and almost-sure convergence concerning induced operators and alternating sequences maximal inequalities and ergodic theorems for Cesaro-a or weighted averages the Hilbert transform of the Gaussian mean ergodicity of L1 contractions and pointwise ergodic theorems multi-parameter moving averages an almost sure convergence theorem for sequences of random variables selected from log convex sets divergence of ergodic averages and orbital classification of non-singular transforamtion almost sure convergence properties of weighted sums of Martingale difference sequences pointwise ergodic theorems for certain order preserving mappings in L1 on the almost sure central limit theorem universally bad sequences in ergodic theory on an inequality of Kahane principle for almost everywhere convergence of multiparameter processes.