Donald Samuel Ornstein

Last updated
Donald Ornstein
Donald Ornstein.jpg
BornJuly 30, 1934
NationalityAmerican
Alma mater University of Chicago
Awards Bôcher Prize (1974)
Scientific career
Fields Mathematics
Institutions Stanford University
Doctoral advisor Irving Kaplansky
Doctoral students David H. Bailey
Doug Lind
Ami Radunskaya
Daniel Rudolph

Donald Samuel Ornstein (born July 30, 1934, [1] New York [2] ) is an American mathematician working in the area of ergodic theory. He received a Ph.D. from the University of Chicago in 1957 under the guidance of Irving Kaplansky. During his career at Stanford University he supervised the Ph. D. thesis of twenty three students, including David H. Bailey, Bob Burton, Doug Lind, Ami Radunskaya, Dan Rudolph, and Jeff Steif. [3]

He is most famous for his work on the isomorphism of Bernoulli shifts [4] for which he won the 1974 Bôcher Prize. [5] He has been a member of the National Academy of Sciences since 1981. In 2012 he became a fellow of the American Mathematical Society. [6]

References and notes

  1. Book of Members (PDF); 132 KB; retrieved on 28 December 2008
  2. B. Hajek (1993): "Donald Samuel Ornstein was born on July 30, 1934, in New York, NY."
  3. Donald Samuel Ornstein at the Mathematics Genealogy Project
  4. Ornstein, Donald (1970). "Bernoulli shifts with the same entropy are isomorphic". Advances in Mathematics . 4 (3): 337–352. doi: 10.1016/0001-8708(70)90029-0 .
  5. Prizes and Awards of the American Mathematical Society
  6. List of Fellows of the American Mathematical Society, retrieved 2013-03-20.


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