Paul Malliavin

Paul Malliavin (French: [maljavɛ̃]; September 10, 1925 June 3, 2010) was a French mathematician. He was Professor Emeritus at the Pierre and Marie Curie University. He had been a member of the French Academy of Sciences since 1979.[1]

Paul Malliavin
Paul Malliavin at the ICM 2006 in Madrid, with Marie-Paule Malliavin
Born(1925-09-10)September 10, 1925
DiedJune 3, 2010(2010-06-03) (aged 84)
NationalityFrance
Alma materUniversity of Paris
Known forMalliavin's absolute continuity lemma
Malliavin calculus
Scientific career
FieldsMathematics
InstitutionsPierre and Marie Curie University
Doctoral advisorSzolem Mandelbrojt

Domains of research

Selected publications

  • La quasi-analyticité généralisée sur un intervalle borné, Annales scientifiques de l’École Normale Supérieure 3e série 72, 1955, pp. 93–110
  • Impossibilité de la synthèse spectrale sur les groupes abéliens non compacts, Publications Mathématiques de l’IHÉS 2, 1959, pp. 61–68
  • Calcul symbolique et sous-algèbres de L1(G), Bulletin de la Société Mathématique de France 87, 1959, pp. 181–186, suite, pp. 187–190
  • with Lee A. Rubel: On small entire functions of exponential type with given zeros, Bulletin de la Société Mathématique de France 89, 1961, pp. 175–206
  • Spectre des fonctions moyenne-périodiques. Totalité d’une suite d’exponentielles sur un segment, Séminaire Lelong. Analyse 3 Exposé No. 11, 1961
  • Un théorème taubérien relié aux estimations de valeurs propres, Séminaire Jean Leray, 1962–1963, pp. 224–231
  • Malliavin, Paul (1972). Géométrie différentielle intrinsèque. Paris: Hermann. ISBN 978-2-7056-5696-6.
  • Géométrie riemannienne stochastique, Séminaire Jean Leray 2 Exposé No. 1, 1973–1974
  • Malliavin, Paul (1978). "Stochastic calculus of variations and hypoelliptic operators". Proceedings of the International Symposium on Stochastic Differential Equations (Res. Inst. Math. Sci., Kyoto Univ., Kyoto, 1976). New York: Wiley. pp. 195–263. MR536013
  • Geometrie differentielle stochastique, Presses de l’Universite de Montreal, 1978
  • with Hélène Airault, Leslie Kay, Gérard Letac: Integration and Probability, Springer, 1995
  • with H. Airault: Some heat operators on P(Rd), Annales mathématiques Blaise Pascal 3 no. 1, 1996, pp. 1–11
  • Stochastic Analysis, Springer, 1997[2]
  • Malliavin, Paul; Thalmaier, Anton (2005). Stochastic Calculus of Variations in Mathematical Finance. Springer. ISBN 978-3-540-43431-3.[3]
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References

  1. "In memoriam". Academy of Sciences (in French). June 3, 2010. Archived from the original on March 15, 2012. Retrieved June 4, 2010.
  2. Driver, Bruce K. (1998). "Review: Stochastic analysis, by Paul Malliavin" (PDF). Bull. Amer. Math. Soc. (N.S.). 35 (1): 99–104. doi:10.1090/s0273-0979-98-00739-3.
  3. Nualart, David (2007). "Review: Stochastic calculus of variations in mathematical finance, by Paul Malliavin and Anton Thalmaier" (PDF). Bull. Amer. Math. Soc. (N.S.). 44 (3): 487–492. doi:10.1090/s0273-0979-07-01146-9.


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