Proceedings of the Doeblin conference '50 years after Doeblin: development in the theory of Markov chains, Markov processes, and sums of random variables' held November 27, 1991, with support from the Applied Probability Trust.

Includes bibliographical references.

Doeblin's life and work from his correspondence ; Reminiscences of one of Doeblin's papers ; The coupling technique in interacting particle systems ; Coupling and shiftcoupling random sequences ; Doeblin and the metric theory of continued fractions: a functionaltheoretic solution to Gauss' 1812 problem ; A basic tool in mathematical chaos theory: Doeblin and Fortet's ergodic theorem and Ionescu Tulcea and Marinescu's generalization ; The nearest integer continued fraction expansion: an approach in the spirit of Doeblin ; On the weighted asymptotics of partial sums and empirical processes of independent random variables ; Homoclinic approch to the central limit theorem for dynamical systems ; Asymptotic results for phi ixing sequences ; The central limit theorem and Markov sequences ; Behaviour of infinite products with applications to nonhomogeneous Markov chains ; Applications of ergodicity coefficients to homogeneous Markov chains ; Applications of some constructions of Markov processes ; The Doeblin decomposition ; Generalized resolvents and Harris recurrence of Markov processes ; Majorization, monotonicity of relative entropy, and stochastic matrices ; Products of stochastic, nonstochastic, and random matrices ; Shuffling with two matrices ; Continuous time gambling problems ; Stochastic processes with long range interactions of the paths ; Some remarks on products of random affine maps on \bf R^+)^d ; A multivariate look at E. Sparre Andersen's equivalence principle ; Regeneration for chains of infinite order and random maps Bernard Bru ; Kai Lai Chung ; Thomas M Liggett ; Hermann Thorisson ; Marius Iosifescu ; Marius Iosifescu ; Marius Iosifescu and Sofia Kalpazidou ; M Csorgo L Horvath QM Shao and B Szyszkowicz ; Mikhail ; Magda Peligrad ; Murray Rosenblatt ; I Fleischer and A Joffe ; E Seneta ; I Cuculescu ; S P Meyn and R L Tweedie ; S P Meyn and R L Tweedie ; Joel E Cohen Yves Derriennic and Gh Zbaganu ; Harry Cohn ; J Hajnal ; K B Athreya ; Erwin Bolthausen ; Arunava Mukherjea ; P E Nuesch ; Peter Ney and Esa Nummelin