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Doeblin and modern probability / [electronic resource] Harry Cohn, editor.

Contributor(s): Doeblin, Wolfgang | Cohn, Harry, 1940-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 149.Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (xii, 347 p. : ill.)ISBN: 9780821877401 (online)Subject(s): Probabilities -- Congresses | Stochastic processes -- CongressesAdditional physical formats: Doeblin and modern probability /DDC classification: 519.2 LOC classification: QA273.A1 | D64 1993Online resources: Contents | Contents

Contents:

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

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11431

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