Measure and Measurable Dynamics.
Mauldin, R. Daniel.
Measure and Measurable Dynamics. - 1st ed. - 1 online resource (352 pages) - Contemporary Mathematics ; v.94 . - Contemporary Mathematics .
Intro -- Contents -- Introduction -- Biographical Note -- Publications of Dorothy Maharam Stone -- List of Participants -- Invariance of Rényi full conditional probabilities under group actions -- Proximal roots of minimal homeomorphisms -- On the Loś-Marczewski extension of charges and its uniqueness -- Marczewski null sets and intermediate Baire order -- Fixed points of automorphisms of I 1 -- The work of Dorothy Maharam on measure theory, ergodic theory, and category algebras -- Ergodic theory on homogeneous measure algebras revisited -- 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.
9780821876824
Maharam-Stone, D. -- (Dorothy) -- Congresses.
Measure theory -- Congresses.
Topological spaces -- Congresses.
Electronic books.
QA312 -- .C576 1987eb
515/.42
Measure and Measurable Dynamics. - 1st ed. - 1 online resource (352 pages) - Contemporary Mathematics ; v.94 . - Contemporary Mathematics .
Intro -- Contents -- Introduction -- Biographical Note -- Publications of Dorothy Maharam Stone -- List of Participants -- Invariance of Rényi full conditional probabilities under group actions -- Proximal roots of minimal homeomorphisms -- On the Loś-Marczewski extension of charges and its uniqueness -- Marczewski null sets and intermediate Baire order -- Fixed points of automorphisms of I 1 -- The work of Dorothy Maharam on measure theory, ergodic theory, and category algebras -- Ergodic theory on homogeneous measure algebras revisited -- 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.
9780821876824
Maharam-Stone, D. -- (Dorothy) -- Congresses.
Measure theory -- Congresses.
Topological spaces -- Congresses.
Electronic books.
QA312 -- .C576 1987eb
515/.42