## Browse content

### Table of contents

#### Actions for selected chapters

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- Book chapterAbstract only
#### A Solution to a Problem of A. Bellow

M.A. Akcoglu, A. del Junco and W.M.F. Lee

Pages 1-7 - Book chapterAbstract only
#### Universal Weights from Dynamical Systems To Mean-Bounded Positive Operators on L

^{p}Idris Assani

Pages 9-16 - Book chapterAbstract only
#### SOME CONNECTIONS BETWEEN ERGODIC THEORY AND HARMONIC ANALYSIS

Idris Assani, Karl Petersen and Homer White

Pages 17-40 - Book chapterAbstract only
#### On Hopf's Ergodic Theorem for Particles with Different Velocities

Alexandra Bellow and Ulrich Krengel

Pages 41-47 - Book chapterAbstract only
#### A Note on the Strong Law of Large Numbers for Partial Sums of Independent Random Vectors

Erich Berger

Pages 49-68 - Book chapterAbstract only
#### SUMMABILITY METHODS AND ALMOST-SURE CONVERGENCE

N.H. Bingham and L.C.G. Rogers

Pages 69-83 - Book chapterAbstract only
#### Concerning Induced Operators and Alternating Sequences

R.E. Bradley

Pages 85-92 - Book chapterAbstract only
#### Maximal inequalities and ergodic theorems for Cesàro-α or weighted averages

M. Broise, Y. Déniel and Y. Derriennic

Pages 93-107 - Book chapterAbstract only
#### THE HILBERT TRANSFORM OF THE GAUSSIAN

A.P. Calderón and Y. Sagher

Pages 109-112 - Book chapterAbstract only
#### Mean Ergodicity of

*L*_{1}Contractions and Pointwise Ergodic TheoremsDoan Çömez and Michael Lin

Pages 113-126 - Book chapterAbstract only
#### Multi–Parameter Moving Averages

Roger L. Jones and James Olsen

Pages 127-149 - Book chapterAbstract only
#### An Almost Sure Convergence Theorem For Sequences of Random Variables Selected From Log-Convex Sets

John C. Kieffer

Pages 151-166 - Book chapterAbstract only
#### DIVERGENCE OF ERGODIC AVERAGES AND ORBITAL CLASSIFICATION OF NON-SINGULAR TRANSFORMATIONS

I. Kornfeld

Pages 167-178 - Book chapterAbstract only
#### SOME ALMOST SURE CONVERGENCE PROPERTIES OF WEIGHTED SUMS OF MARTINGALE DIFFERENCE SEQUENCES

Tze Leung Lai

Pages 179-190 - Book chapterAbstract only
#### Pointwise ergodic theorems for certain order preserving mappings in

*L*^{1}MICHAEL LIN and RAINER WITTMANN

Pages 191-207 - Book chapterAbstract only
#### On the almost sure central limit theorem

M. Peligrad and P. Révész

Pages 209-225 - Book chapterAbstract only
#### UNIVERSALLY BAD SEQUENCES IN ERGODIC THEORY

Joseph Rosenblatt

Pages 227-245 - Book chapterAbstract only
#### On an Inequality of Kahane

Yoram Sagher and Kecheng Zhou

Pages 247-251 - Book chapterAbstract only
#### A PRINCIPLE FOR ALMOST EVERYWHERE CONVERGENCE OF MULTIPARAMETER PROCESSES

Louis Sucheston and László I. Szabó

Pages 253-273

## About the book

### 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.

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.

## Details

### ISBN

978-0-12-085520-9

### Language

English

### Published

1991

### Copyright

Copyright © 1991 Elsevier Inc. All rights reserved.

### Imprint

Academic Press