Jean Jacod
French mathematician
From Wikipedia, the free encyclopedia
Jean Jacod (born 13 November 1944)[1] is a French mathematician specializing in stochastic processes and probability theory. He has been a professor at the Université Pierre et Marie Curie.[2] He has made fundamental contributions to a wide range of topics in probability theory including stochastic calculus, limit theorems, martingale problems, Malliavin calculus and statistics of stochastic processes.
Born13 November 1944
AlmamaterEcole Polytechnique
KnownforLimit theorems for stochastic processes, Malliavin calculus for jump processes
AwardsGay-Lussac-Humboldt-Prize (2007)
Jean Jacod | |
|---|---|
Jacod in 2011 | |
| Born | 13 November 1944 |
| Alma mater | Ecole Polytechnique |
| Known for | Limit theorems for stochastic processes, Malliavin calculus for jump processes |
| Awards | Gay-Lussac-Humboldt-Prize (2007) |
| Scientific career | |
| Fields | Probability |
| Institutions | Université Pierre et Marie Curie |
| Doctoral advisor | Jacques Neveu |
| Doctoral students | Gilles Pages |
Biography
Jean Jacod graduated from Ecole Polytechnique in 1965 and obtained his Doctorat d'État in Mathematics from the Université Paris-VI. His advisor was Jacques Neveu.
Selected bibliography
- Jacod, Jean; Shiryaev, Albert N. (1987). Limit theorems for stochastic processes. doi:10.1007/978-3-662-05265-5. ISBN 9783540439325.
- Jacod, Jean; Protter, Philip (2012). Discretization of Processes. doi:10.1007/978-3-642-24127-7. ISBN 9783642241260.
- J. JACOD, P. PROTTER: Asymptotic error distributions for the Euler method for stochastic differential equations. Ann. Probab., 26, 267-307 (1998).
- J. JACOD: Non-parametric kernel estimation of the diffusion for a diffusion process. Scand. J. Statist. 27, 83-96 (2000).
- E. EBERLEIN, J. JACOD, S. RAIBLE: Levy term structure models: no–arbitrage and completeness. Finance and Stochastics, 9, 67–88 (2005)
- J. JACOD: Asymptotic properties of power variations of L'evy processes. ESAIM-PS, 11, 173-196 (2007).
- J. JACOD: Asymptotic properties of realized power variations and associated functionals 129-A of semimartingales. Stoch. Proc. Appl., 118, 517-559 (2008).
- Y. AIT–SAHALIA, J. JACOD: Testing for jumps in a discretely observed process. Annals of Statistics, 37, 1, 184-222 (2009).
- J. JACOD, Y. LI, P. MYKLAND, M. PODOLSKIJ, M. VETTER: Microstructure noise in the continuous case: the pre-averaging approach. Stoch. Proc. Appl., 119, 7, 2249-2276
(2009).
- J. JACOD, Z. KOWALSKI, A. NIKEGHBALI: Mod-Gaussian convergence: new limit theorems in probability and number theory. Forum Math. 23, 835-873 (2011).
- A. DIOP, J. JACOD, V. TODOROV: Central Limit Theorem for Approximate Quadratic Variations of Pure Jump Ito Semimartingales. Stoch. Proc. Appl. 123, 839-886 (2013).