Almost Everywhere Convergence II
Proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16-20, 1989
Published on 10. May 2014
288 pages
978-1-4832-6592-6 (ISBN)
Description
Almost Everywhere Convergence II presents the proceedings of the Second International Conference on Almost Everywhere Convergence in Probability and Ergodotic Theory, held in Evanston, Illinois on October 16-20, 1989. This book discusses the many remarkable developments in almost everywhere convergence. Organized into 19 chapters, this compilation of papers begins with an overview of a generalization of the almost sure central limit theorem as it relates to logarithmic density. This text then discusses Hopf's ergodic theorem for particles with different velocities. Other chapters consider the notion of a log-convex set of random variables, and proved a general almost sure convergence theorem for sequences of log-convex sets. This book discusses as well the maximal inequalities and rearrangements, showing the connections between harmonic analysis and ergodic theory. The final chapter deals with the similarities of the proofs of ergodic and martingale theorems. This book is a valuable resource for mathematicians.
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Alexandra Bellow | Roger Jones
Almost Everywhere Convergence: 2nd
International Conference Proceedings
Book
01/1991
Academic Press
€57.67
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Content
ContributorsParticipantsDedicationPrefaceA Solution to a Problem of A. BellowUniversal Weights from Dynamical Systems to Mean-Bounded Positive Operators on LPSome Connections Between Ergodic Theory and Harmonic AnalysisOn Hopf's Ergodic Theorem for Particles with Different VelocitiesA Note on the Strong Law of Large Numbers for Partial Sums of Independent Random VectorsSummability Methods and Almost-sure ConvergenceConcerning Induced Operators and Alternating SequencesMaximal Inequalities and Ergodic Theorems for Cesàro-a or Weighted AveragesThe Hilbert Transform of the GaussianMean Ergodicity of L1 Contractions and Pointwise Ergodic TheoremsMulti-Parameter Moving AveragesAn Almost Sure Convergence Theorem for Sequences of Random Variables Selected from Log-Convex SetsDivergence of Ergodic Averages and Orbital Classification of Non-singular TransformationsSome Almost Sure Convergence Properties of Weighted Sums of Martingale Difference SequencesPointwise Ergodic Theorems for Certain Order Preserving Mappings in L1On the Almost Sure Central Limit TheoremUniversally Bad Sequences in Ergodic TheoryOn an Inequality of KahaneA Principle for Almost Everywhere Convergence of Multiparameter Processes
