A unified approach to classical, bosonic and fermionic Brownian motions

Colloque Paul Lévy sur les processus stochastiques, Astérisque no. 157-158 (1988), p. 303-320

@incollection{AST_1988__157-158__303_0,
     author = {Parthasarathy, K. R.},
     title = {A unified approach to classical, bosonic and fermionic Brownian motions},
     booktitle = {Colloque Paul L\'evy sur les processus stochastiques},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {157-158},
     year = {1988},
     pages = {303-320},
     zbl = {0656.60085},
     language = {en},
     url = {http://www.numdam.org/item/AST_1988__157-158__303_0}
}

Parthasarathy, K. R. A unified approach to classical, bosonic and fermionic Brownian motions, in Colloque Paul Lévy sur les processus stochastiques, Astérisque, no. 157-158 (1988), pp. 303-320. http://www.numdam.org/item/AST_1988__157-158__303_0/

References

[1] L. Accardi and K. R. Parthasarathy : A martingale characterisation of canonical commutation and anticommutation relations (Submitted to J. Funct. Analysis). | Zbl 0642.60032

[2] R. L. Hudson and K. R. Parthasarathy : Quantum Ito's formula and stochastic evolutions, Commun. Math. Phys. 93, (301-323) (1984). | Article | Zbl 0546.60058

[3] R. L. Hudson and K. R. Parthasarathy : Unification of fermion and boson stochastic calculus, Commun. Math. Phys. 104, 457-470 (1986). | Article | Zbl 0604.60063

[4] P. A. Meyer : Éléments de probabilités quantiques, in Seminaire de Probabilités XX 1984/85, XXI Lecture Notes in Mathematics 1204, 186-312 (1986); | Article | Zbl 0604.60001

P. A. Meyer : Éléments de probabilités quantiques, in Seminaire de Probabilités XX 1984/85, XXI Lecture Notes in Mathematics 1247, 34-80 (1987) (Ed. J. Azéma and M.Yor). | Zbl 0633.60074

[5] E. Nelson : Dynamical Theories of Brownian Motion, Princeton University Press, Princeton N.J. (1967). | Zbl 0165.58502

[6] K. R. Parthasarathy and K. B. Sinha : Boson-fermion relations in several dimensions, Pramāna 27, 105-116 (1986). | Article