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Doeblin and Modern Probability
About this Title
Harry Cohn, Editor
Publication: Contemporary Mathematics
Publication Year:
1993; Volume 149
ISBNs: 978-0-8218-5149-4 (print); 978-0-8218-7740-1 (online)
DOI: https://doi.org/10.1090/conm/149
MathSciNet review: 1229951
ReadershipTable of Contents
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Front/Back Matter
- Bernard Bru – Doeblin’s life and work from his correspondence [MR 1229952]
- Kai Lai Chung – Reminiscences of one of Doeblin’s papers [MR 1229953]
- Thomas M. Liggett – The coupling technique in interacting particle systems [MR 1229954]
- Hermann Thorisson – Coupling and shift-coupling random sequences [MR 1229955]
Continued Fractions and Ergodicity
- Marius Iosifescu – Doeblin and the metric theory of continued fractions: a functional-theoretic solution to Gauss’ 1812 problem [MR 1229956]
- Marius Iosifescu – A basic tool in mathematical chaos theory: Doeblin and Fortet’s ergodic theorem and Ionescu Tulcea and Marinescu’s generalization [MR 1229957]
- Marius Iosifescu and Sofia Kalpazidou – The nearest integer continued fraction expansion: an approach in the spirit of Doeblin [MR 1229958]
Independent and Weakly Dependent Random Variables
- M. Csörgő, L. Horváth, Q.-M. Shao and B. Szyszkowicz – On the weighted asymptotics of partial sums and empirical processes of independent random variables [MR 1229959]
- Mikhail – Homoclinic approch to the central limit theorem for dynamical systems
- Magda Peligrad – Asymptotic results for $\phi$-mixing sequences [MR 1229961]
- Murray Rosenblatt – The central limit theorem and Markov sequences [MR 1229962]
Homogeneous and Non-homogeneous Markov Chains
- I. Fleischer and A. Joffe – Behaviour of infinite products with applications to nonhomogeneous Markov chains [MR 1229963]
- E. Seneta – Applications of ergodicity coefficients to homogeneous Markov chains [MR 1229964]
- I. Cuculescu – Applications of some constructions of Markov processes [MR 1229965]
- S. P. Meyn and R. L. Tweedie – The Doeblin decomposition [MR 1229966]
- S. P. Meyn and R. L. Tweedie – Generalized resolvents and Harris recurrence of Markov processes [MR 1229967]
Stochastic and Nonstochastic Matrices
- Joel E. Cohen, Yves Derriennic and Gh. Zbăganu – Majorization, monotonicity of relative entropy, and stochastic matrices [MR 1229968]
- Harry Cohn – Products of stochastic, nonstochastic, and random matrices [MR 1229969]
- J. Hajnal – Shuffling with two matrices [MR 1229970]
- K. B. Athreya – Continuous time gambling problems [MR 1229971]
- Erwin Bolthausen – Stochastic processes with long range interactions of the paths [MR 1229972]
- Arunava Mukherjea – Some remarks on products of random affine maps on $(\textbf {R}^+)^d$ [MR 1229973]
- P. E. Nüesch – A multivariate look at E. Sparre Andersen’s equivalence principle [MR 1229974]
- Peter Ney and Esa Nummelin – Regeneration for chains of infinite order and random maps [MR 1229975]