Topologies métrisables rendant continues les trajectoires d'un processus

Simone Chevet

Séminaire de probabilités de Strasbourg (1982)

  • Volume: 16, page 544-569

How to cite

top

Chevet, Simone. "Topologies métrisables rendant continues les trajectoires d'un processus." Séminaire de probabilités de Strasbourg 16 (1982): 544-569. <http://eudml.org/doc/113407>.

@article{Chevet1982,
author = {Chevet, Simone},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {natural realization of a process; Belyaev dichotomy},
language = {fre},
pages = {544-569},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Topologies métrisables rendant continues les trajectoires d'un processus},
url = {http://eudml.org/doc/113407},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Chevet, Simone
TI - Topologies métrisables rendant continues les trajectoires d'un processus
JO - Séminaire de probabilités de Strasbourg
PY - 1982
PB - Springer - Lecture Notes in Mathematics
VL - 16
SP - 544
EP - 569
LA - fre
KW - natural realization of a process; Belyaev dichotomy
UR - http://eudml.org/doc/113407
ER -

References

top
  1. [1] X. Fernique, Régularité des trajectoires des fonctions aléatoires gaussiennes, Lecture Notes in Math. 480, (1975), 1-91. Zbl0331.60025MR413238
  2. [2] X. Fernique, Régularité de fonctions aléatoires non gaussiennes, Ecole d'Eté de Saint-Flour1981, (à paraître). Zbl0507.60027
  3. [3] K. Ito, Canonical measurable random functions, Proc. Internat. Conf. on Functional Analysis and Related topics, (Tokyo, 1969), 369-377. Zbl0229.60028MR281250
  4. [4] K. Ito et M. Nisio, On the oscillation of Gaussian processes, Math. Scand.22, (1968), 209-223. Zbl0231.60027MR243597
  5. [5] V.A. Rohlin, On the fundamental ideas of measure theory, Translations Amer. Math. Soc. série 1, vol. 10 (Functional Analysis and Measure Theory), (1962), 1-54. 
  6. [6] H. Sato et Y. Okazaki, Separabilities of a Gaussian Radon measure, Ann. Inst. H. Poincaré A 11, (1975), 287-298. Zbl0362.60015MR400323
  7. [7] H. Sato, Souslin support and Fourier expansions of a Gaussian Radon measure, Lecture Notes in Math. 860, (1980), 299-313. Zbl0454.60005MR647972
  8. [8] M. Talagrand, La τ-régularité des mesures gaussiennes, Z. Wahrs. verw. Geb.57, (1981), 213-221. Zbl0443.60007MR626816
  9. [9] B.S. Tsirelson, Some properties of Lacunary series and Gaussian measures that are connected with uniform versions of the Egorov and Lusin properties, Theory Prob. and Appl.20, (1975), 652-655. Zbl0345.60023
  10. [10] B.S. Tsirelson, Natural modification of random processes and its application to random functional series and to Gaussian measures, Zap. Nauchn. Sem. Leningrad Otdel Mat. Inst. Steklov (LOMI)55, (1975), 35-63 (en Russe). Zbl0408.60033
  11. [11] B.S. Tsirelson, Complement to a paper on natural modifications, Zap. Nauchn. Sem. Leningrad LOMI72, (1976), 201-211 (en Russe). 
  12. [12] N.C. Jain et G. Kallianpur, Oscillation function of a multiparameter Gaussian process, Nagoya Math. J.47, (1972), 15-28. Zbl0249.60016MR317399
  13. [13] Yu.K. Belyaev, Local properties of the sample functions of stationary Gaussian processes, Theory Prob. and Appl.5, (1960), 117-120. Zbl0147.16001MR139207
  14. [14] Yu.K. Belyaev, Continuity and Hölder's conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Symposium, vol. 2, (1961), 23-33. Zbl0111.33003MR143256
  15. [15] J. Hoffmann-Jorgensen, Integrability of semi-norms, the 0-1 law and the affine kernel for product measures, Studia Math.61, (1977), 137-159. Zbl0373.60014MR464382
  16. [16] R.M. Dudley, The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Funct. Anal.1, (1967), 290-330. Zbl0188.20502MR220340
  17. [17] A. Prekopa, On stochastic set functions, Acta Math. Acad. Scient. Hung.7, (1956) 215-262 et 8, (1957), 337-400. Zbl0075.29002MR97847
  18. [18] C. Borell, Gaussian Radon measures on locally convex spaces, Math. Scand.38, (1976), 265-284. Zbl0335.28009MR436303

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.