000			03013nmm a2200205Ia 4500
008			230306s9999||||xx |||||||||||||||||und||
020			_a9780821877401 (online)
245		0	_aDoeblin and modern probability
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc1993
300			_a1 online resource (xii, 347 p. : ill.)
490			_aContemporary mathematics _vv. 149 _x10983627
500			_aProceedings 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.
504			_aIncludes bibliographical references.
505			_tDoeblin'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 _mixing 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 _rBernard 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
650			_aProbabilities
650			_aStochastic processes
700			_aCohn Harry
700			_aDoeblin Wolfgang
856			_uhttp://www.ams.org/conm/149/
999			_c28566 _d28566