Convergence in Ergodic Theory and Probability

✍ Scribed by Vitaly Bergelson (editor); Peter March (editor); Joseph Rosenblatt (editor)

• Publisher: De Gruyter
• Year: 1996
• Tongue: English
• Leaves: 460
• Series: Ohio State University Mathematical Research Institute Publications; 5
• Category: Library

✦ Table of Contents

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