Doeblin and modern probability / [electronic resource]
Harry Cohn, editor.
- Providence, R.I. : American Mathematical Society, c1993.
- 1 online resource (xii, 347 p. : ill.)
- Contemporary mathematics, v. 149 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 149. .
"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 / Reminiscences of one of Doeblin's papers / The coupling technique in interacting particle systems / Coupling and shift-coupling random sequences / Doeblin and the metric theory of continued fractions: a functional-theoretic 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 $(^+)^d$ / A multivariate look at E. Sparre Andersen's equivalence principle / Regeneration for chains of infinite order and random maps / Bernard Bru -- Kai Lai Chung -- Thomas M. Liggett -- Hermann Thorisson -- Marius Iosifescu -- Marius Iosifescu -- Marius Iosifescu and Sofia Kalpazidou -- M. Cs�org�o, L. Horv�ath, Q.-M. 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. Zb�aganu -- Harry Cohn -- J. Hajnal -- K. B. Athreya -- Erwin Bolthausen -- Arunava Mukherjea -- P. E. N�uesch -- Peter Ney and Esa Nummelin -- http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01256 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01261 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01271 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01280 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01269 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01268 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01270 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01264 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/1266 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01277 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01278 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01255 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01279 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01265 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01272 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01273 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01262 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01263 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01267 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01258 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01259 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01274 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01275 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
Mode of access : World Wide Web
9780821877401 (online)
Probabilities--Congresses.
Stochastic processes--Congresses.
QA273.A1 / D64 1993
519.2
"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 / Reminiscences of one of Doeblin's papers / The coupling technique in interacting particle systems / Coupling and shift-coupling random sequences / Doeblin and the metric theory of continued fractions: a functional-theoretic 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 $(^+)^d$ / A multivariate look at E. Sparre Andersen's equivalence principle / Regeneration for chains of infinite order and random maps / Bernard Bru -- Kai Lai Chung -- Thomas M. Liggett -- Hermann Thorisson -- Marius Iosifescu -- Marius Iosifescu -- Marius Iosifescu and Sofia Kalpazidou -- M. Cs�org�o, L. Horv�ath, Q.-M. 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. Zb�aganu -- Harry Cohn -- J. Hajnal -- K. B. Athreya -- Erwin Bolthausen -- Arunava Mukherjea -- P. E. N�uesch -- Peter Ney and Esa Nummelin -- http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01256 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01261 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01271 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01280 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01269 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01268 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01270 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01264 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/1266 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01277 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01278 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01255 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01279 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01265 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01272 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01273 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01262 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01263 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01267 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01258 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01259 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01274 http://www.ams.org/conm/149/ http://dx.doi.org/10.1090/conm/149/01275 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
Mode of access : World Wide Web
9780821877401 (online)
Probabilities--Congresses.
Stochastic processes--Congresses.
QA273.A1 / D64 1993
519.2