Germ-field Markov property for multiparameter processes

Vidyadhar Mandrekar

Séminaire de probabilités de Strasbourg (1976)

  • Volume: 10, page 78-85

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Mandrekar, Vidyadhar. "Germ-field Markov property for multiparameter processes." Séminaire de probabilités de Strasbourg 10 (1976): 78-85. <http://eudml.org/doc/113102>.

@article{Mandrekar1976,
author = {Mandrekar, Vidyadhar},
journal = {Séminaire de probabilités de Strasbourg},
language = {eng},
pages = {78-85},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Germ-field Markov property for multiparameter processes},
url = {http://eudml.org/doc/113102},
volume = {10},
year = {1976},
}

TY - JOUR
AU - Mandrekar, Vidyadhar
TI - Germ-field Markov property for multiparameter processes
JO - Séminaire de probabilités de Strasbourg
PY - 1976
PB - Springer - Lecture Notes in Mathematics
VL - 10
SP - 78
EP - 85
LA - eng
UR - http://eudml.org/doc/113102
ER -

References

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  1. [1] P. Assouad, Étude d'un espace reproduisant attaché au mouvement brownian à paramètre temporel dans Rn, C.R. Acad. Sc., Paris, 269 (1969), 36-37. Zbl0204.50702MR245089
  2. [2] P. Cartier, Introduction à l'étude des mouvements Browniens à plusieurs paramètres, Seminaire de Probabilités V., Springer-Verlag, (#191), (1971), 58-75. MR383557
  3. [3] G. Kallianpur and V. Mandrekar, The Markov property for generalized Gaussian random fields, Ann. Inst. Fourier, Grenoble24 (1974), 143-167. Zbl0275.60054MR405569
  4. [4] F. Knight, A remark on Markovian germ fields, Z. Wahrscheinlichkeitstheorie15 (1970), 291-296. Zbl0187.14703MR290455
  5. [5] H.P. McKean, Jr., Brownian motion with a several dimensional time, Theory Prob. Applications, 8 (1963), 335-354. Zbl0124.08702MR157407
  6. [6] P.A. Meyer, Probability and Potentials. Blaisdell, 1966. Zbl0138.10401MR205288
  7. [7] G.M. Molchan, On some problems concerning Brownian motion in Lévy's sense, Theory Prob. Applications, 12 (1967), 682-690. Zbl0159.46504MR213565
  8. [8] G.M. Molchan, Characterization of Gaussian fields with Markovian property, Dokl. Akad. Nauk. SSSR, 197 (1971). Translation Soviet Math. Dokl, 12 (1971), 563-567. Zbl0236.60031
  9. [9] E. Nelson, Construction of quantum fields form Markoff fields, J. Functional Analysis12 (1973), 97-112. Zbl0252.60053MR343815
  10. [10] J. Neveu, Processus aléatoires gaussiens. Univ. of Montréal Press, 1968. Zbl0192.54701MR272042
  11. [11] Y. Okabe, Stationary Gaussian processes with Markov property and M. Sato's hyperfunctions, Japanese J. of Math.41 (1973), 69-122. Zbl0302.60025MR341590
  12. [12] L. Pitt, A Markov property for Gaussian processes with multidimensional time, J. Rational Mech. and Anal.43 (1971), 367-391. Zbl0277.60025MR336798
  13. [13] J. Von Neumann, Functional Operators, Vol. 2. Princeton University Press, 1950. Zbl0039.11701

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