Multiplicative chaos and random translation

Hiroshi Sato; Masakazu Tamashiro

Annales de l'I.H.P. Probabilités et statistiques (1994)

  • Volume: 30, Issue: 2, page 245-264
  • ISSN: 0246-0203

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Sato, Hiroshi, and Tamashiro, Masakazu. "Multiplicative chaos and random translation." Annales de l'I.H.P. Probabilités et statistiques 30.2 (1994): 245-264. <http://eudml.org/doc/77482>.

@article{Sato1994,
author = {Sato, Hiroshi, Tamashiro, Masakazu},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random measure; multiplicative chaos; equivalence and singularity of particular Gaussian sequences},
language = {eng},
number = {2},
pages = {245-264},
publisher = {Gauthier-Villars},
title = {Multiplicative chaos and random translation},
url = {http://eudml.org/doc/77482},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Sato, Hiroshi
AU - Tamashiro, Masakazu
TI - Multiplicative chaos and random translation
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1994
PB - Gauthier-Villars
VL - 30
IS - 2
SP - 245
EP - 264
LA - eng
KW - random measure; multiplicative chaos; equivalence and singularity of particular Gaussian sequences
UR - http://eudml.org/doc/77482
ER -

References

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  1. [1] R. Høegh-Krohn, A General Class of Quantum Fields Without Cut-offs in Two Space Time Dimension, Commun. Math. Phys., Vol. 21, 1971, pp. 244-255. MR292433
  2. [2] J.-P. Kahane, Sur le chaos multiplicatif, Ann. Sci. Math. Québec, Vol. 9, (2), 1985, pp. 105-150. Zbl0596.60041MR829798
  3. [3] J.-P. Kahane, Positive Martingales and Random Measures, Chin. Ann. of Math., 8B, (1), 1987, pp. 1-12. Zbl0636.60049MR886744
  4. [4] J.-P. Kahane, From Riesz Products to Random Sets, Harmonic Analysis (S. Igari Ed), Proceeding of a Conference held in Sendai, Japan, August 14-18, 1990, Springer-Verlag, Berlin, Heidelberg, New York, pp. 125-139. Zbl0768.60013MR1261434
  5. [5] S. Kakutani, On Equivalence of Infinite Product Measures, Ann. Math., Vol. 49, 1948, pp. 214-224. Zbl0030.02303MR23331
  6. [6] K. Kitada and H. Sato, On the Absolute Continuity of Infinite Product Measure and its Convolution, Probab. Th. Rel. Fields, Vol. 81, 1989, pp. 609-627. Zbl0667.60049MR995815
  7. [7] S. Kusuoka, Høegh-Krohn's Model of Quantum Fields and the Absolute Continuity of Measures, Preprint. Zbl0792.46030
  8. [8] H. Sato and M. Tamashiro, Absolute Continuity of One-Sided Random Translation, To appear in Stochastic Process Appl. Zbl0829.60033MR1348374
  9. [9] H. Sato and T. Watari, Some Integral Inequalities and Absolute Continuity of a Symmetric Random Translation, J. Funct. Anal., Vol. 114, 1993, pp. 257-266. Zbl0771.60018MR1220987

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