place: Arlington, Massachusettes
University of Paris 6 (equivalent BS); École Normale Superieure (equivlaent Masters)
of Paris 6
Professor at the Centre National pour la Recherche Scientifique (CNRS) at the École Polytechnique, Palaiseau , France (CNRS is loosely translated into France's National Center for Scientific Research)
personal or universal URL:
Carl Graham was born in the U.S. but when he was six his father Eugene Alexander Graham, Jr., a mathematician, moved away from a rascist U.S.A. to France, where Carl was raised. Carl's undergraduate education occured at Ecole Normale Superieure (Paris) and Universite Paris 6 (Paris). He received his Masters degree in Mathematics from École Normale Superieure (Paris) and his Ph.D. (1984?) in Probability from Universite Paris 6 (Paris).
Dr. Graham has written at least 17 papers on Applied Probability:
17. Graham, C.; Méléard, S. A large deviation principle for a large star-shaped loss network with links of capacity one . Statistical mechanics of large networks (Rocquencourt, 1996). Markov Process. Related Fields 3 (1997), no. 4, 475--492.
16. Graham, C.; Méléard, S. An upper bound of large deviations for a generalized star-shaped loss network . Markov Process. Related Fields 3 (1997), no. 2, 199--223.
15. Graham, Carl; Méléard, Sylvie Stochastic particle approximations for generalized Boltzmann models and convergence estimates . Ann. Probab. 25 (1997), no. 1, 115--132.
14. Graham, C.; Kurtz, Th. G.; Méléard, S.; Protter, Ph. E.; Pulvirenti, M.; Talay, D. Probabilistic models for nonlinear partial differential equations . Lectures given at the 1st Session and Summer Schoolheld in Montecatini Terme, May 22--30, 1995. Edited by Talay and L. Tubaro. Lecture Notes in Mathematics, 1627. Fondazione C.I.M.E.. [C.I.M.E. Foundation] Springer-Verlag, Berlin; Centro Internazionale Matematico Estivo (C.I.M.E.), Florence, 1996. x+301 pp. ISBN: 3-540-61397-8 60-06 (00B25)
13. Graham, Carl; Méléard, Sylvie Convergence rate on path space for stochastic particle approximations to the Boltzmann equation .ICIAM/GAMM 95 (Hamburg, 1995). Z. Angew. Math. Mech. 76 (1996), suppl. 1, 291--294.
12. Graham, Carl A statistical physics approach to large networks . Probabilistic models for nonlinear partial differential equations(Montecatini Terme, 1995), 127--147, Lecture Notes in Math., 1627, Springer, Berlin, 1996.
11. Graham, Carl; Méléard, Sylvie Dynamic asymptotic results for a generalized star-shaped loss network . Ann. Appl. Probab. 5 (1995), no. 3, 666--680.
10. Graham, Carl Homogenization and propagation of chaos to a nonlinear diffusion with sticky reflection. Probab. Theory Related Fields 101 (1995), no. 3, 291--302.
9. Graham, Carl; Méléard, Sylvie Fluctuations for a fully connected loss network with alternate routing. Stochastic Process. Appl. 53 (1994), no. 1, 97--115.
8. Graham, Carl; Méléard, Sylvie Chaos hypothesis for a system interacting through shared resources. Probab. Theory Related Fields 100 (1994), no. 2, 157--173.
7. Graham, Carl; Méléard, Sylvie Propagation of chaos for a fully connected loss network with alternate routing. Stochastic Process. Appl. 44 (1993), no. 1, 159--180.
6. Graham, Carl Nonlinear diffusion with jumps. Ann. Inst. H. Poincaré Probab. Statist. 28 (1992), no. 3, 393--402.
5. Graham, Carl; McKean-Vlasov Itô-Skorohod equations, and nonlinear diffusions with discrete jump sets. Stochastic Process. Appl. 40 (1992), no. 1, 69--82.
4. Graham, Carl Nonlinear limit for a system of diffusing particles which alternate between two states. Appl. Math. Optim. 22 (1990), no. 1, 75--90.
3. Graham, Carl; Métivier, Michel System of interacting particles and nonlinear diffusion reflecting in a domain with sticky boundary. Probab. Theory Related Fields 82 (1989), no. 2, 225--240.
2. Graham, Carl The martingale problem with sticky reflection conditions, and a system of particles interacting at the boundary. Ann. Inst. H. Poincaré Probab. Statist. 24 (1988), no. 1, 45--72.
1. Graham, Carl Boundary processes: the calculus of processes diffusing on the boundary. Ann. Inst. H. Poincaré Probab. Statist. 21 (1985), no. 1, 73--102.
The web pages
MATHEMATICIANS OF THE AFRICAN DIASPORA
are brought to you by
The Mathematics Department of
The State University of New York at Buffalo.
They are created and maintained
Scott W. Williams
Professor of Mathematics