Measure and measurable dynamics : proceedings of a conference in honor of Dorothy Maharam Stone, held September 17-19, 1987 / / R. Daniel Mauldin, R.M. Shortt, and Cesar E. Silva, editors

• Record Nr.: UNINA9910812568303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1989]; ©1989
• ISBN: 0-8218-7682-1; 0-8218-5427-5
• Descrizione fisica: 1 online resource (352 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 94 , 0271-4132
• Disciplina: 515/.42
• Soggetti: Measure theory; Topological spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "The Conference on Measure and Measurable Dynamics, in honor of Dorothy Maharan Stone, was held at the University of Rochester, New York, on September 17-19, 1987"--Title page verso.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Axiomatic characterizations of inhomogeneous Poisson point processes (IPPP) their mixtures and random translations -- Uniformly distributed D-sequences -- On maximal inequalities in Orlicz spaces -- Finite full sets in 2-stack structure -- Partial mixing, partial rigidity, and factors -- A classification of disintegrations of measures -- Ratio sets of endomorphisms which preserve a probability measure -- An obstruction to K -fold splitting -- The work of Dorothy Maharam on kernel representations of linear operators -- One-to-one selections and orthogonal transition kernels -- Descriptive ergodic theory -- Decoding with two independent processes -- Temporal and spatial distribution of closed orbits of hyperbolic dynamical systems -- Nonlinear sampling of a flow -- Classification problem for probability metrics -- 1. Main directions in the theory of probability metrics -- 2. Probability distances and probability metrics: definitions -- 2.1. Some examples of metrics in probability theory -- 2.2. Metric and Semimetric spaces. Distance and semidistance spaces -- 2.3. Definitions of probability distance and probability metric -- 2.4. Universally measurable separable metric spaces -- 2.5. The ; equivalence of the notions of p.(semi-)distance on P2 and on x -- 3. Primary, simple and compound p. distances. Minimal and maximal distances and norms -- 3.1. Primary distances and primary metrics -- 3.2. Simple distances and metrics. Co-minimal functionals and minimal norms -- 3.3. Compound distances and moment functions -- References -- A new proof of Hopf's theorem on invariant measures -- Markov tilings of Rn and representations of Rn actions -- Groups of measurable automorphisms for spaces of finite type -- A regular oscillation property of stable sets of measurable functions -- A new proof of the strong law without first moment -- Countable generators in dynamics-universal minimal models.