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

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 149.Publication details: Providence, R.I. : American Mathematical Society, c1993.Description: 1 online resource (xii, 347 p. : ill.)ISBN:

9780821877401 (online)

Subject(s):

Additional physical formats: Doeblin and modern probability /DDC classification:

519.2 20

LOC classification:

QA273.A1 D64 1993

Online resources:

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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Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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 --