TY - BOOK AU - Doeblin,Wolfgang AU - Cohn,Harry TI - Doeblin and modern probability T2 - Contemporary mathematics, SN - 9780821877401 (online) AV - QA273.A1 D64 1993 U1 - 519.2 20 PY - 1993/// CY - Providence, R.I. PB - American Mathematical Society KW - Probabilities KW - Congresses KW - Stochastic processes N1 - "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 2-7, 1991, with support from the Applied Probability Trust."; Includes bibliographical references; Doeblin's life and work from his correspondence; Bernard Bru --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01256; Reminiscences of one of Doeblin's papers; Kai Lai Chung --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01261; The coupling technique in interacting particle systems; Thomas M. Liggett --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01271; Coupling and shift-coupling random sequences; Hermann Thorisson --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01280; Doeblin and the metric theory of continued fractions: a functional-theoretic solution to Gauss' 1812 problem; Marius Iosifescu --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01269; A basic tool in mathematical chaos theory: Doeblin and Fortet's ergodic theorem and Ionescu Tulcea and Marinescu's generalization; Marius Iosifescu --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01268; The nearest integer continued fraction expansion: an approach in the spirit of Doeblin; Marius Iosifescu and Sofia Kalpazidou --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01270; On the weighted asymptotics of partial sums and empirical processes of independent random variables; M. Cs�org�o, L. Horv�ath, Q.-M. Shao and B. Szyszkowicz --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01264; Homoclinic approch to the central limit theorem for dynamical systems; Mikhail --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/1266; Asymptotic results for $\phi $-mixing sequences; Magda Peligrad --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01277; The central limit theorem and Markov sequences; Murray Rosenblatt --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01278; Behaviour of infinite products with applications to nonhomogeneous Markov chains; I. Fleischer and A. Joffe --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01255; Applications of ergodicity coefficients to homogeneous Markov chains; E. Seneta --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01279; Applications of some constructions of Markov processes; I. Cuculescu --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01265; The Doeblin decomposition; S. P. Meyn and R. L. Tweedie --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01272; Generalized resolvents and Harris recurrence of Markov processes; S. P. Meyn and R. L. Tweedie --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01273; Majorization, monotonicity of relative entropy, and stochastic matrices; Joel E. Cohen, Yves Derriennic and Gh. Zb�aganu --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01262; Products of stochastic, nonstochastic, and random matrices; Harry Cohn --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01263; Shuffling with two matrices; J. Hajnal --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01267; Continuous time gambling problems; K. B. Athreya --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01258; Stochastic processes with long range interactions of the paths; Erwin Bolthausen --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01259; Some remarks on products of random affine maps on $({\bf R}^+)^d$; Arunava Mukherjea --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01274; A multivariate look at E. Sparre Andersen's equivalence principle; P. E. N�uesch --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01275; Regeneration for chains of infinite order and random maps; Peter Ney and Esa Nummelin --; http://www.ams.org/conm/149; http://dx.doi.org/10.1090/conm/149/01276; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/conm/149/ UR - http://dx.doi.org/10.1090/conm/149 ER -