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- Donald S. Ornstein

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
6,490
63
World Ranking
1999
National Ranking
856

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

- Mathematical analysis
- Pure mathematics
- Geometry

Donald S. Ornstein mostly deals with Pure mathematics, Ergodic theory, Bernoulli scheme, Bernoulli process and Combinatorics. His work on Pure mathematics is being expanded to include thematically relevant topics such as Equivalence. The various areas that Donald S. Ornstein examines in his Ergodic theory study include Discrete mathematics and Invariant measure, Ergodic Ramsey theory, Stationary ergodic process.

Many of his research projects under Discrete mathematics are closely connected to Dynamical systems theory with Dynamical systems theory, tying the diverse disciplines of science together. He carries out multidisciplinary research, doing studies in Bernoulli process and Stationary process. The study incorporates disciplines such as Parametrix and Calculus in addition to Combinatorics.

- Entropy and isomorphism theorems for actions of amenable groups (531 citations)
- Ergodic theory, randomness, and dynamical systems (390 citations)
- Bernoulli shifts with the same entropy are isomorphic (357 citations)

His primary areas of study are Ergodic theory, Discrete mathematics, Pure mathematics, Bernoulli scheme and Mathematical analysis. The concepts of his Ergodic theory study are interwoven with issues in Stationary ergodic process, Ergodic Ramsey theory and Combinatorics. His Discrete mathematics study incorporates themes from Transformation, Algebra over a field and Partition.

His Pure mathematics study combines topics from a wide range of disciplines, such as Flow and Aperiodic graph. Bernoulli scheme and Bernoulli process are commonly linked in his work. In general Mathematical analysis study, his work on Absolute continuity, Semi-differentiability, Boundary circle and Partial differential equation often relates to the realm of Random walk, thereby connecting several areas of interest.

- Ergodic theory (38.24%)
- Discrete mathematics (41.18%)
- Pure mathematics (29.41%)

- Ergodic theory (38.24%)
- Mathematical analysis (16.18%)
- Combinatorics (22.06%)

His primary scientific interests are in Ergodic theory, Mathematical analysis, Combinatorics, Discrete mathematics and Calculus. Pure mathematics covers he research in Ergodic theory. His work in the fields of Differentiable function overlaps with other areas such as Return time.

His work on Absolute continuity, Boundary circle and Partial differential equation as part of general Mathematical analysis study is frequently connected to Double difference, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. He interconnects Measure, Stationary process, Algebra over a field and Subsequence in the investigation of issues within Combinatorics. His Calculus study combines topics in areas such as Point and Isomorphism theorem.

- Entropy and isomorphism theorems for actions of amenable groups (531 citations)
- How Sampling Reveals a Process (118 citations)
- The differentiability of the conjugation of certain diffeomorphisms of the circle (116 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Entropy and isomorphism theorems for actions of amenable groups

Donald S. Ornstein;Benjamin Weiss.

Journal D Analyse Mathematique **(1987)**

857 Citations

Entropy and isomorphism theorems for actions of amenable groups

Donald S. Ornstein;Benjamin Weiss.

Journal D Analyse Mathematique **(1987)**

857 Citations

Ergodic theory, randomness, and dynamical systems

Donald Ornstein.

**(1974)**

619 Citations

Ergodic theory, randomness, and dynamical systems

Donald Ornstein.

**(1974)**

619 Citations

Bernoulli shifts with the same entropy are isomorphic

Donald Ornstein.

Advances in Mathematics **(1970)**

564 Citations

Bernoulli shifts with the same entropy are isomorphic

Donald Ornstein.

Advances in Mathematics **(1970)**

564 Citations

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

Donald S. Ornstein;Benjamin Weiss.

Bulletin of the American Mathematical Society **(1980)**

314 Citations

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

Donald S. Ornstein;Benjamin Weiss.

Bulletin of the American Mathematical Society **(1980)**

314 Citations

On isomorphism of weak Bernoulli transformations

N.A. Friedman;D.S. Ornstein.

Advances in Mathematics **(1970)**

282 Citations

On isomorphism of weak Bernoulli transformations

N.A. Friedman;D.S. Ornstein.

Advances in Mathematics **(1970)**

282 Citations

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