eBook ISBN:  9780821876824 
Product Code:  CONM/94.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876824 
Product Code:  CONM/94.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 94; 1989; 326 ppMSC: Primary 28; Secondary 00
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

Articles

Thomas E. Armstrong — Invariance of full conditional probabilities under group actions [ MR 1012973 ]

Joseph Auslander and Nelson Markley — Proximal roots of minimal homeomorphisms [ MR 1012974 ]

E. Barone and K. P. S. Bhaskara Rao — On the ŁośMarczewski extension of charges and its uniqueness [ MR 1012975 ]

Jack B. Brown — Marczewski null sets and intermediate Baire order [ MR 1012976 ]

Maxim R. Burke — Fixed points of automorphisms of $I^{\aleph _1}$ [ MR 1012977 ]

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 [ MR 1012978 ]

J. R. Choksi, S. J. Eigen and V. S. Prasad — Ergodic theory on homogeneous measure algebras revisited [ MR 1012979 ]

Jens Peter Reus Christensen and Carsten Rasmussen — Axiomatic characterizations of inhomogeneous Poisson point processes (IPPP), their mixtures and random translations [ MR 1012980 ]

John Coffey — Uniformly distributed $D$sequences [ MR 1012981 ]

G. A. Edgar and L. Sucheston — On maximal inequalities in Orlicz spaces [ MR 1012982 ]

Stanley J. Eigen and Cesar E. Silva — Finite full sets in $2$stack structures [ MR 1012983 ]

Nathaniel A. Friedman — Partial mixing, partial rigidity, and factors [ MR 1012984 ]

S. Graf and R. Daniel Mauldin — A classification of disintegrations of measures [ MR 1012985 ]

Jane M. Hawkins — Ratio sets of endomorphisms which preserve a probability measure [ MR 1012986 ]

Jonathan L. King — An obstruction to $K$fold splitting [ MR 1012987 ]

W. A. J. Luxemburg — The work of Dorothy Maharam on kernel representations of linear operators [ MR 1012988 ]

R. Daniel Mauldin — Onetoone selections and orthogonal transition kernels [ MR 1012989 ]

M. G. Nadkarni — Descriptive ergodic theory [ MR 1012990 ]

William Parry — Decoding with two independent processes [ MR 1012991 ]

William Parry — Temporal and spatial distribution of closed orbits of hyperbolic dynamical systems [ MR 1012992 ]

Karl Petersen — Nonlinear sampling of a flow [ MR 1012993 ]

Svetlozar T. Rachev and Rae Michael Shortt — Classification problem for probability metrics [ MR 1012994 ]

D. Ramachandran — A new proof of Hopf’s theorem on invariant measures [ MR 1012995 ]

Daniel J. Rudolph — Markov tilings of ${\bf R}^n$ and representations of ${\bf R}^n$ actions [ MR 1012996 ]

R. M. Shortt — Groups of measurable automorphisms for spaces of finite type [ MR 1012997 ]

Michel Talagrand — A “regular oscillation” property of stable sets of measurable functions [ MR 1012998 ]

D. Tanny — A new proof of the strong law without first moment [ MR 1012999 ]

Benjamin Weiss — Countable generators in dynamics—universal minimal models [ MR 1013000 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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.

Articles

Thomas E. Armstrong — Invariance of full conditional probabilities under group actions [ MR 1012973 ]

Joseph Auslander and Nelson Markley — Proximal roots of minimal homeomorphisms [ MR 1012974 ]

E. Barone and K. P. S. Bhaskara Rao — On the ŁośMarczewski extension of charges and its uniqueness [ MR 1012975 ]

Jack B. Brown — Marczewski null sets and intermediate Baire order [ MR 1012976 ]

Maxim R. Burke — Fixed points of automorphisms of $I^{\aleph _1}$ [ MR 1012977 ]

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 [ MR 1012978 ]

J. R. Choksi, S. J. Eigen and V. S. Prasad — Ergodic theory on homogeneous measure algebras revisited [ MR 1012979 ]

Jens Peter Reus Christensen and Carsten Rasmussen — Axiomatic characterizations of inhomogeneous Poisson point processes (IPPP), their mixtures and random translations [ MR 1012980 ]

John Coffey — Uniformly distributed $D$sequences [ MR 1012981 ]

G. A. Edgar and L. Sucheston — On maximal inequalities in Orlicz spaces [ MR 1012982 ]

Stanley J. Eigen and Cesar E. Silva — Finite full sets in $2$stack structures [ MR 1012983 ]

Nathaniel A. Friedman — Partial mixing, partial rigidity, and factors [ MR 1012984 ]

S. Graf and R. Daniel Mauldin — A classification of disintegrations of measures [ MR 1012985 ]

Jane M. Hawkins — Ratio sets of endomorphisms which preserve a probability measure [ MR 1012986 ]

Jonathan L. King — An obstruction to $K$fold splitting [ MR 1012987 ]

W. A. J. Luxemburg — The work of Dorothy Maharam on kernel representations of linear operators [ MR 1012988 ]

R. Daniel Mauldin — Onetoone selections and orthogonal transition kernels [ MR 1012989 ]

M. G. Nadkarni — Descriptive ergodic theory [ MR 1012990 ]

William Parry — Decoding with two independent processes [ MR 1012991 ]

William Parry — Temporal and spatial distribution of closed orbits of hyperbolic dynamical systems [ MR 1012992 ]

Karl Petersen — Nonlinear sampling of a flow [ MR 1012993 ]

Svetlozar T. Rachev and Rae Michael Shortt — Classification problem for probability metrics [ MR 1012994 ]

D. Ramachandran — A new proof of Hopf’s theorem on invariant measures [ MR 1012995 ]

Daniel J. Rudolph — Markov tilings of ${\bf R}^n$ and representations of ${\bf R}^n$ actions [ MR 1012996 ]

R. M. Shortt — Groups of measurable automorphisms for spaces of finite type [ MR 1012997 ]

Michel Talagrand — A “regular oscillation” property of stable sets of measurable functions [ MR 1012998 ]

D. Tanny — A new proof of the strong law without first moment [ MR 1012999 ]

Benjamin Weiss — Countable generators in dynamics—universal minimal models [ MR 1013000 ]