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Donald S. Ornstein

Donald S. Ornstein

D-Index & Metrics

Mathematics

D-Index
40
Citations
7900
World Ranking
2021
National Ranking
858

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1991 - Fellow of the American Academy of Arts and Sciences
  • 1981 - Member of the National Academy of Sciences

Overview

Donald S. Ornstein is affiliated with Stanford University in the United States. Throughout their academic career, they have been recognized by several prestigious institutions for their contributions to their field.

Among their notable distinctions, Donald S. Ornstein was named a Member of the National Academy of Sciences in 1981. They were also elected as a Fellow of the American Academy of Arts and Sciences in 1991 and later as a Fellow of the American Mathematical Society in 2013.

While specific details on their research topics, publications, or coauthors are not provided, their association with highly regarded academic societies indicates involvement in significant scholarly work.

Best Publications

  • Entropy and isomorphism theorems for actions of amenable groups

    Donald S. Ornstein;Benjamin Weiss

  • Ergodic theory, randomness, and dynamical systems

    Donald Ornstein

  • Bernoulli shifts with the same entropy are isomorphic

    Donald Ornstein

  • Entropy and data compression schemes

    D.S. Ornstein;B. Weiss

  • Ergodic theory of amenable group actions. I: The Rohlin lemma

    Donald S. Ornstein;Benjamin Weiss

  • On isomorphism of weak Bernoulli transformations

    N.A. Friedman;D.S. Ornstein

  • A non-inequality for differential operators in the L1 norm

    Donald Ornstein

  • Billiards and Bernoulli schemes

    Giovanni Gallavotti;Donald S. Ornstein

  • Equivalence of measure preserving transformations

    Donald S. Ornstein;Daniel J. Rudolph;Benjamin Weiss

  • On the root problem in ergodic theory

    Donald S. Ornstein

  • Two Bernoulli shifts with infinite entropy are isomorphic

    Donald Ornstein

  • The ergodic theoretical proof of Szemerédi's theorem

    H. Furstenberg;Y. Katznelson;D. Ornstein

  • How Sampling Reveals a Process

    Donald S. Ornstein;Benjamin Weiss

  • A general ergodic theorem

    R. V. Chacon;D. S. Ornstein

  • Geodesic flows are Bernoullian

    Donald Ornstein;Donald Ornstein;Benjamin Weiss;Benjamin Weiss

  • The Shannon-McMillan-Breiman theorem for a class of amenable groups

    Donald Ornstein;Donald Ornstein;Benjamin Weiss;Benjamin Weiss

  • On invariant measures

    Donald S. Ornstein

  • An Application of Ergodic Theory to Probability Theory

    Donald S. Ornstein

  • Factors of Bernoulli shifts are Bernoulli shifts

    Donald Ornstein

  • Statistical properties of chaotic systems

    D. S. Ornstein;B. Weiss

  • The differentiability of the conjugation of certain diffeomorphisms of the circle

    Unknown

Frequent Co-Authors

Benjamin Weiss
Benjamin Weiss Hebrew University of Jerusalem
Robert M. Gray
Robert M. Gray Stanford University
David L. Neuhoff
David L. Neuhoff University of Michigan–Ann Arbor
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics
Jean Bourgain
Jean Bourgain Institute for Advanced Study

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