@article{AMBP_1996__3_1_211_0, author = {Jean-Claude Zambrini}, title = {Feynman et les math\'ematiques}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {211--226}, publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal}, volume = {3}, number = {1}, year = {1996}, zbl = {0864.60001}, mrnumber = {1397333}, language = {fr}, url = {https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_211_0/} }
TY - JOUR AU - Jean-Claude Zambrini TI - Feynman et les mathématiques JO - Annales mathématiques Blaise Pascal PY - 1996 SP - 211 EP - 226 VL - 3 IS - 1 PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal UR - https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_211_0/ LA - fr ID - AMBP_1996__3_1_211_0 ER -
%0 Journal Article %A Jean-Claude Zambrini %T Feynman et les mathématiques %J Annales mathématiques Blaise Pascal %D 1996 %P 211-226 %V 3 %N 1 %I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal %U https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_211_0/ %G fr %F AMBP_1996__3_1_211_0
Jean-Claude Zambrini. Feynman et les mathématiques. Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 211-226. https://ambp.centre-mersenne.org/item/AMBP_1996__3_1_211_0/
[0] Discours de la méthode, Flammarion, Paris.
,[1] Mathematical foundations of Quantum Mechanics, Princeton Univ. Press, Princeton N. J. (1955). | MR | Zbl
,[2] Quantization as a problem of proper values, part I,II, Annalen der Physik (4), vol 79 (1926).
,[3] (1) Méthodes mathématiques de la mécanique classique, Editions Mir, Moscou (1976). (2) , , Foundations of Mechanics, Benjamin (1978). | MR | Zbl
,[4] Quantum mechanics and path integrals, Mc. Graw-Hill (1965). | Zbl
, ,[5] A family of integrals serving to connect the Wiener and Feynman integrals, J. Math. Physics 39,126 (1960). | MR | Zbl
,[6] Functional integration and quantum physics, Acad .Press, N. Y. (1979). | MR | Zbl
,[7] Controlled Markov processes and viscosity solutions, Springer-Verlag, New York (1993). | MR | Zbl
, ,[8] Nonlinear elliptic and parabolic equations of the second order, Reidel, Dordrecht (1987). | Zbl
,[9] Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equation, part I, Comm. PDE 8, 1101 (1983; | MR | Zbl
,Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equation, part II, Comm. PDE 8, 1229 (1983). | MR | Zbl
,[10] Stochastic differential equations and diffusion processes, North - Holland Kodansha, N. Y., (1981). | MR | Zbl
, ,[11] A course in the theory of stochastic processes, Mc. Graw-Hill, N. Y. (1981). | Zbl
,[12] (1) J. Math. Phys. 27, 2307 (1986). (2) , , , Ann.Inst. Henri Poincaré, Phys. Th. 49 (3), 259 (1989). | Numdam | MR | Zbl
,[13] Dynamical theories of Brownian motion, Princeton Univ. Press, Princeton, N.J. (1967). | MR | Zbl
,[14] (1) Annals of Math. (2), 72, n. 1, 189 (1960). (2) , Z. Wahrsch. Gebiete 30, 65 (1974). | MR | Zbl
,[15] Journ. of Funct. Anal. vol 96, n.1, 62 (1991); Journ. of Funct.Anal. vol 130, n.2, 450 (1995). , , , Bernstein diffusions and Euclidean quantum field theory, in Progr. in Prob. vol 36, 77, E. Bolthausen, F. Russo Eds, Birkhäuser (1993).
, ,[16] Symmetries in stochastic calculus of variations, preprint Univ. Paris VI; The theorem of Noether in Schrödinger's Euclidean quantum mechanics, preprint Institut Mittag-Leffler. | MR
, ,[17] Stochastic calculus of variations and hypoelliptic operators, in Proc. Int. Symp. SDE, Kyoto 1976, Kinokuniya, Tokyo (1978). | Zbl
,[18] Leçons sur les invariants intégraux, Hermann, Paris (1971). | MR | Zbl
,[19]
, en préparation.