Marc Yor

Marc Yor
Born (1949-07-24)24 July 1949
Died 9 January 2014(2014-01-09) (aged 64)
Paris, France
Nationality French
Alma mater Ecole normale supérieure de Cachan
Known for Fine properties of Brownian motion, Bessel processes, Lévy processes
Awards Humboldt Prize
Scientific career
Fields Mathematics
Institutions Paris VI University
Doctoral advisor Pierre Priouret
Doctoral students Dominique Bakry
Jean Bertoin
Philippe Biane
Jean-François Le Gall

Marc Yor (24 July 1949 – 9 January 2014) was a French mathematician well known for his work on stochastic processes, especially properties of semimartingales, Brownian motion and other Lévy processes, the Bessel processes, and their applications to mathematical finance.

Background

Yor was a professor[1] at the Paris VI University in Paris, France, from 1981 until his death in 2014.

He was a recipient of several awards, including the Humboldt Prize,[2] the Montyon Prize,[3] and was awarded the Ordre National du Merite[3] by the French Republic. He was a member[3] of the French Academy of Sciences. His students include such notable mathematicians as Jean-Francois Le Gall[4] and Jean Bertoin.[5]

He died on 9 January 2014 at the age of 64.[3]

Bibliography

Books

  • Yor, M. (1992). Some Aspects of Brownian Motion. Part I: Some Special Functionals. Birkhäuser.
  • Yor, M. (1997). Some Aspects of Brownian Motion. Part II: Some Recent Martingale Problems. Birkhäuser.
  • Revuz, D., & Yor, M. (1999). Continuous martingales and Brownian motion. Springer.
  • Yor, M. (2001). On Exponential Functionals of Brownian Motion and Related Processes. Springer.
  • Emery, M., & Yor, M. (Eds.). (2002). Séminaire de probabilités 1967-1980: a selection in Martingale theory. Springer.
  • Chaumont, L. & Yor, M. (2003). Exercises in Probability: A Guided Tour from Measure Theory to Random Processes, via Conditioning. Cambridge University Press.
  • Mansuy, R. & Yor, M. (2006). Random Times and Enlargements of Filtrations in a Brownian Setting. Springer.
  • Mansuy, R. & Yor, M. (2008). Aspects of Brownian Motion. Springer.
  • Roynette, B. & Yor, M. (2009). Penalising Brownian Paths. Springer.
  • Jeanblanc, M. & Yor, M., Chesney, M. (2009). Mathematical methods for financial markets. Springer.
  • Profeta, C., Roynette, B. & Yor, M. (2010). Option Prices as Probabilities. Springer.
  • Hirsch, F., Profeta, C., Roynette, B. & Yor, M. (2011). Peacocks and associated martingales, with explicit constructions. Springer.

Main papers

  • Yor, M. (2001). Bessel processes, Asian options, and perpetuities. In Exponential Functionals of Brownian Motion and Related Processes (pp. 63–92). Springer Berlin Heidelberg.
  • Pitman, J., & Yor, M. (1997). The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. The Annals of Probability, 25(2), 855-900.
  • Pitman, J., & Yor, M. (1982). A decomposition of Bessel bridges. Probability Theory and Related Fields, 59(4), 425-457.

References

  1. ↑ Official webpage at the University of Paris
  2. ↑ Le Gall, Jean-François; Pitman, Jim (February 15, 2014), "Obituary: Marc Yor 1949–2014", IMS Bulletin .
  3. 1 2 3 4 Official biography at the French Academy website Archived 2008-12-07 at the Wayback Machine.
  4. ↑ Jean-François Le Gall at the Mathematics Genealogy Project
  5. ↑ Jean Bertoin at the Mathematics Genealogy Project
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