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| name = Donald Ornstein
| name = Donald Ornstein
| image = Donald Ornstein.jpg
| image = Donald Ornstein.jpg
| birth_date = July 30, 1934
| birth_date = {{birth date and age |1934 |7 |30}}
| nationality = American
| nationality = American
| fields = [[Mathematics]]
| fields = [[Mathematics]]
Line 9: Line 9:
| alma_mater = [[University of Chicago]]
| alma_mater = [[University of Chicago]]
| doctoral_advisor = [[Irving Kaplansky]]
| doctoral_advisor = [[Irving Kaplansky]]
| doctoral_students = [[David H. Bailey (mathematician)|David H. Bailey]]<br>[[Doug Lind]]<br>[[Ami Radunskaya]]<br>[[Don Rudolph]]
| doctoral_students = [[David H. Bailey (mathematician)|David H. Bailey]]<br>[[Doug Lind]]<br>[[Ami Radunskaya]]<br>[[Daniel Rudolph]]
| awards = [[Bôcher Memorial Prize|Bôcher Prize]] (1974)
| awards = [[Bôcher Memorial Prize|Bôcher Prize]] (1974)
}}
}}
'''Donald Samuel Ornstein''' (born July 30, 1934,<ref>[https://www.amacad.org/publications/BookofMembers/ChapterO.pdf Book of Members (PDF)]; 132 KB; retrieved on 28 December 2008</ref> [[New York City|New York]]<ref>[http://ieeexplore.ieee.org/iel5/18/4498/x0948901.pdf B. Hajek (1993): "Donald Samuel Ornstein was born on July 30, 1934, in New York, NY."]</ref>) 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 (mathematician)|David H. Bailey]], Bob Burton, [[Doug Lind]], [[Ami Radunskaya]], [[Daniel Rudolph|Dan Rudolph]], and Jeff Steif.<ref>{{MathGenealogy|5850}}</ref>
'''Donald Samuel Ornstein''' (born July 30, 1934,<ref>[https://www.amacad.org/publications/BookofMembers/ChapterO.pdf Book of Members (PDF)]; 132 KB; retrieved on 28 December 2008</ref> [[New York City|New York]]<ref>[https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=x0948901 B. Hajek (1993): "Donald Samuel Ornstein was born on July 30, 1934, in New York, NY."]</ref>) 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 (mathematician)|David H. Bailey]], Bob Burton, [[Doug Lind]], [[Ami Radunskaya]], [[Daniel Rudolph|Dan Rudolph]], and Jeff Steif.<ref>{{MathGenealogy|5850}}</ref>


He is most famous for his work on the isomorphism of [[Bernoulli scheme|Bernoulli shifts]] for which he won the 1974 [[Bôcher Memorial Prize|Bôcher Prize]]. He has been a member of the [[United States National Academy of Sciences|National Academy of Sciences]] since 1981. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-03-20.</ref>
He is most famous for his work on the isomorphism of [[Bernoulli scheme|Bernoulli shifts]],<ref>{{cite journal
| first1=Donald | last1=Ornstein | authorlink1=Donald Ornstein
| title=Bernoulli shifts with the same entropy are isomorphic
| journal=[[Advances in Mathematics]]
| volume=4
| year=1970
| issue=3 | pages=337–352
| doi=10.1016/0001-8708(70)90029-0 | doi-access=}}</ref> for which he won the 1974 [[Bôcher Memorial Prize|Bôcher Prize]].<ref>[https://www.ams.org/prizes-awards/pabrowse.cgi?parent_id=10&year=1974 Prizes and Awards] of the American Mathematical Society</ref> He has been a member of the [[United States National Academy of Sciences|National Academy of Sciences]] since 1981. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-03-20.</ref>


==References and notes==
==References and notes==
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[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:American Jews]]
[[Category:20th-century American Jews]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:1934 births]]
[[Category:1934 births]]
[[Category:21st-century American Jews]]




Latest revision as of 03:28, 31 July 2024

Donald Ornstein
Born (1934-07-30) July 30, 1934 (age 90)
NationalityAmerican
Alma materUniversity of Chicago
AwardsBôcher Prize (1974)
Scientific career
FieldsMathematics
InstitutionsStanford University
Doctoral advisorIrving Kaplansky
Doctoral studentsDavid 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

[edit]
  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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