Contemporary Mathematics 1989; 326 pp; softcover Volume: 94 ISBN10: 0821850997 ISBN13: 9780821850992 List Price: US$69 Member Price: US$55.20 Order Code: CONM/94
 Dorothy Maharam Stone's (19172014) contributions to operators and measure algebras has had a profound influence on this area of research. Her career, which has spanned nearly half a century, includes 40 research publications, some of them as recent as 1987. A Ph.D. student of Anna Pell Wheeler at Bryn Mawr College, Stone has been an active force in mathematics research and various professional activities. This volume contains the proceedings of the Conference on Measure and Measurable Dynamics, held in honor of Stone at the University of Rochester in September 1987. The papers in this collection represent contributions from some of the top experts in this field. Stone's work is surveyed in a number of articles which highlight her foundational results concerning positive operators, the characterization of homo geneous measure algebras, and disintegrations. In addition, there are research papers in ergodic theory, measure theory, descriptive set theory, and the dynamics of measurable maps. A number of the results in these papers are directly related to Stone's work. Table of Contents  T. E. Armstrong  Invariance of Rényi full conditional probabilities under group actions
 J. Auslander and N. Markley  Proximal roots of minimal homeomorphisms
 E. Barone and K. P. S. Bhaskara Rao  On the LośMarczewski extension of charges and its uniqueness
 J. B. Brown  Marczewski null sets and intermediate Baire order
 M. R. Burke  Fixed points of automorphisms of \(I^\aleph_1\)
 J. R. Choksi, S. J. Eigen, J. C. Oxtoby, and V. S. Prasad  The work of Dorothy Maharam on measure theory, ergodic theory, and category algebras
 J. R. Choksi, S. J. Eigen, and V. S. Prasad  Ergodic theory on homogeneous measure algebras revisited
 J. P. R. Christensen and C. Rasmussen  Axiomatic characterizations of inhomogeneous Poisson point processes (IPPP), their mixtures and random translations
 J. Coffey  Uniformly distributed \(D\)sequences
 G. A. Edgar and L. Sucheston  On maximal inequalitites in Orlicz spaces
 S. J. Eigen and C. E. Silva  Finite full sets in \(2\)stack structures
 N. A. Friedman  Partial mixing, partial rigidity, and factors
 S. Graf and R. D. Mauldin  A classification of disintegrations of measures
 J. M. Hawkins  Ratio sets of endomorphisms which preserve a probability measure
 J. L. King  An obstruction to \(K\)fold splitting
 W. A. J. Luxemburg  The work of Dorothy Maharam on kernel representations of linear operators
 R. D. Mauldin  Onetoone selections and orthogonal transition kernels
 M. G. Nadkarni  Descriptive ergodic theory
 W. Parry  Decoding with two independent processes
 W. Parry  Temporal and spatial distribution of closed orbits of hyperbolic dynamical systems
 K. Petersen  Nonlinear sampling of a flow
 S. T. Rachev and R. M. Shortt  Classification problem for probability metrics
 D. Ramachandran  A new proof of Hopf's theorem on invariant measures
 D. J. Rudolph  Markov tilings of \(\Bbb R^n\) and representations of \(\Bbb R^n\) actions
 R. M. Shortt  Groups of measurable automorphisms for spaces of finite type
 M. Talagrand  A "regular oscillation" property of stable sets of measurable functions
 D. Tanny  A new proof of the strong law without first moment
 B. Weiss  Countable generators in dynamicsuniversal minimal models
