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Daniel W Stroock

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Residence
  
U.S.A.

Name
  
Daniel Stroock

Nationality
  
American

Role
  
Mathematician


Fields
  
Mathematics

Doctoral advisor
  
Mark Kac

Daniel W. Stroock dynkincollectionlibrarycornelledusitesdefault

Institutions
  
Courant Institute University of Colorado, Boulder MIT

Known for
  
Diffusion process Malliavin calculus

Education
  
Rockefeller University (1966), Harvard University (1962)

Awards
  
Guggenheim Fellowship for Natural Sciences, US & Canada

Books
  
Multidimensional diffusion processes, An Introduction to Markov, Probability Theory - an Analytic V, A concise introduction to the the, Essentials of Integratio

Similar People
  
S R Srinivasa, Kiyosi Ito, Mark Kac

Alma mater
  
Rockefeller University

Notable awards
  
Steele Prize (1996)

Daniel Wyler Stroock (born March 20, 1940) is an American mathematician, a probabilist.

Contents

Biography

He received his undergraduate degree from Harvard University in 1962 and his doctorate from Rockefeller University in 1966. He has taught at the Courant Institute of Mathematical Sciences and the University of Colorado, Boulder and is currently Simons Professor at the Massachusetts Institute of Technology. He is known for his work with S. R. S. Varadhan on diffusion processes, for which he received the Leroy P. Steele Prize for Seminal Contribution to Research in 1996.

Stroock is a member of the U.S. National Academy of Sciences., In 2012 he became a fellow of the American Mathematical Society.

Quotes

Mathematics is one, and possibly the only, human endeavor for which there is a widely, if not universally, recognized criterion with which to determine truth. For this reason, mathematicians can avoid some of the interminable disputes which plague other fields. On the other hand, I sometimes wonder whether the most interesting questions are not those for which such disputes are inevitable.

Selected publications

  • "On a conjecture of M. Kac". Bull. Amer. Math. Soc. 79 (4): 770–775. 1973. MR 0322345. doi:10.1090/s0002-9904-1973-13309-9. 
  • with S. R. S. Varadhan: Multidimensional diffusion processes. Springer. 1979. ; reprintings 1997, 2006
  • An introduction to the theory of large deviations. Springer-Verlag. 1984. 
  • with Andrzej Korzeniowski: "An example in the theory of hypercontractive semigroups". Proc. Amer. Math. Soc. 94 (1): 87–90. 1985. MR 781062. doi:10.1090/s0002-9939-1985-0781062-0. 
  • with Jean-Dominique Deuschel: Large deviations. Academic Press. 1989. ; reprinting 2001
  • A concise introduction to the theory of integration. World Scientific. 1990. ; Birkhäuser, 2nd edition 1994; 3rd edition. 1999. 
  • Probability theory: an analytic view. Cambridge U. Press. 1993. 
  • "Gaussian measures in traditional and not so traditional settings". Bull. Amer. Math. Soc. (N.S.). 33 (2): 135–155. 1996. MR 1362627. doi:10.1090/s0273-0979-96-00655-6. 
  • An introduction to the analysis of paths on a Riemannian manifold. AMS. 2000. 
  • Markov processes from K. Itô's perspective. Princeton U. Press. 2003. 
  • An introduction to Markov processes. Springer. 2005. 
  • Essentials of integration theory for analysis. Springer. 2011. 
  • Mathematics of probability. AMS. 2013. 

    • References

    Daniel W. Stroock Wikipedia
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