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
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