Contents

Preface

Introduction

Doeblin's Life and Work

Doeblin's life and work from his correspondence

BERNARD BRU

Reminiscences of one of Doeblin's papers

KAI LAI CHUNG

Coupling

The coupling technique in interacting particle systems

THOMAS M. LIGGETT

Coupling and shift-coupling random sequences

HERMANN THORISSON

Continued Fractions and Ergodicity

Doeblin and the metric theory of continued fractions: A functional theoretic

solution to Gauss' 1812 problem

Vll

IX

1

65

73

85

MARIUS lOSIFESCU

97

A basic tool in mathematical chaos theory: Doeblin and Fortet's ergodic

theorem and Ionescu Tulcea and Marinescu's generalization

MARIUS lOSIFESCU 111

The nearest integer continued fraction expansion: An approach in the spirit

of Doeblin

MARIUS lOSIFESCU AND SOFIA KALPAZIDOU

Independent and Weakly Dependent Random Variables

On the weighted asymptotics of partial sums and empirical processes of

independent random variables

125

M.

CSORGO, L. HORVATH,

Q-M.

SHAO, AND B. SZYSZKOWICZ

139

Homoclinic approach to the central limit theorem for dynamical systems

MIKHAIL GORDIN

149

v