Gilbert Hunt

{{short description|American tennis player and mathematician}}

{{Use mdy dates|date=October 2024}}

{{Infobox tennis biography

|name = Gilbert Hunt

|image =

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|fullname = Gilbert A. Hunt, Jr.

|country = {{USA}}

|birth_date = March 4, 1916

|birth_place = Washington, D.C.{{MacTutor Biography|id=Hunt|title=Gilbert Hunt}}

|death_date = {{death date and age|2008|5|30|1916|3|4}}

|death_place = Princeton, New JerseyJoe Holley, [https://www.washingtonpost.com/wp-dyn/content/article/2008/06/10/AR2008061003143.html Obituary: Gilbert Hunt Jr., 92; Math and Tennis Ace], The Washington Post, 11 June 2008.

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|plays = Right-handed (one-handed backhand)

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|singlesrecord = 89-52

|singlestitles = 6

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|USOpenresult = QF (1938, 1939)

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Gilbert Agnew Hunt, Jr. (March 4, 1916 – May 30, 2008) was an American mathematician and amateur tennis player active in the 1930s and 1940s.

Early life and education

Hunt was born in Washington, D.C. and attended Eastern High School.{{Cite news |last=Holley |first=Joe |date=2008-06-11 |title=Gilbert Hunt Jr., 92; Math and Tennis Ace |newspaper=The Washington Post |language=en-US |url=http://www.washingtonpost.com/wp-dyn/content/article/2008/06/10/AR2008061003143.html |access-date=2022-05-08 |issn=0190-8286}}

Tennis career

Hunt reached the quarterfinals of the U.S. National Championships in 1938 and 1939.

Scientific career

Hunt received his bachelor's degree from George Washington University in 1938 and his Ph.D. from Princeton University in 1948 under Salomon Bochner. Hunt became a mathematics professor at Princeton University specializing in probability theory, Markov processes, and potential theory.

The Hunt process is named after him. He was an Invited Speaker at the ICM in 1962 in Stockholm. His doctoral students include Robert McCallum Blumenthal and Richard M. Dudley.

=Hunt's theorem=

{{blockquote|Hunt's theorem states that for a large class of positive kernels V satisfying "the complete maximum principle" of potential theory, there corresponds a contraction resolvent and associated sub-Markovian semigroup P_t with

: V f= \int_0^\infty P_t f dt~. (V is called the "potential kernel" of the semigroup.){{cite journal|title=Review of Probabilités et potentiel by Claude Dellacherie and Paul-André Meyer, 1987|author=Mitro, Joanna|journal=Bull. Amer. Math. Soc. (N.S.)|volume=24|year=1991|pages=471–477|doi=10.1090/S0273-0979-1991-16069-6|doi-access=free}} (See p. 475.)}}

Selected publications

  • {{cite journal|title=Random Fourier transforms|journal=Trans. Amer. Math. Soc.|volume=71|year=1951|pages=38–69|doi=10.1090/S0002-9947-1951-0051340-3|doi-access=free|last1=Hunt|first1=G. A.}}
  • with Paul Erdős: {{cite journal|url=https://projecteuclid.org/download/pdf_1/euclid.pjm/1103051250|title=Changes of sign of sums of random variables|journal=Pacific Journal of Mathematics|volume=3|issue=4|year=1953|pages=673–687|doi=10.2140/pjm.1953.3.673|doi-access=free|last1=Erdős|first1=Paul|last2=Hunt|first2=Gilbert}}
  • {{cite journal|title=On positive Green's functions|journal=Proc. Natl. Acad. Sci.|year=1954|volume=40|issue=9|pages=816–818|pmid=16589567|doi=10.1073/pnas.40.9.816|pmc=534174|last1=Hunt|first1=G. A.|bibcode=1954PNAS...40..816H |doi-access=free}}
  • {{cite journal|title=An inequality in probability theory|journal=Proc. Amer. Math. Soc.|volume=6|year=1955|pages=506–510|doi=10.1090/S0002-9939-1955-0075470-4|doi-access=free|last1=Hunt|first1=G. A.|issue=3}}
  • {{cite journal|title=Markoff processes and potentials|journal=Proc. Natl. Acad. Sci.|year=1956|volume=42|issue=7|pages=414–418|pmid=16589879|doi=10.1073/pnas.42.7.414|pmc=534239|last1=Hunt|first1=G. A.|bibcode=1956PNAS...42..414H |doi-access=free}}
  • {{cite journal|title=Semi-groups of measures on Lie groups|journal=Trans. Amer. Math. Soc.|volume=81|year=1956|pages=264–293|doi=10.1090/S0002-9947-1956-0079232-9|doi-access=free|last1=Hunt|first1=G. A.|issue=2}}
  • {{cite journal|title=Some theorems concerning Brownian motion|journal=Trans. Amer. Math. Soc.|volume=81|year=1956|pages=294–319|doi=10.1090/S0002-9947-1956-0079377-3|doi-access=free|last1=Hunt|first1=G. A.|issue=2}}
  • {{cite journal|title=A theorem of Elie Cartan|journal=Proc. Amer. Math. Soc.|volume=7|year=1956|pages=307–308|doi=10.1090/S0002-9939-1956-0077075-9|doi-access=free|last1=Hunt|first1=G. A.|issue=2}}

References

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