@article{AIHPB_1994__30_2_245_0, author = {Sato, Hiroshi and Tamashiro, Masakazu}, title = {Multiplicative chaos and random translation}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {245--264}, publisher = {Gauthier-Villars}, volume = {30}, number = {2}, year = {1994}, mrnumber = {1277000}, zbl = {0806.60038}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1994__30_2_245_0/} }
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 SP - 245 EP - 264 VL - 30 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1994__30_2_245_0/ LA - en ID - AIHPB_1994__30_2_245_0 ER -
Sato, Hiroshi; Tamashiro, Masakazu. Multiplicative chaos and random translation. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 2, pp. 245-264. http://archive.numdam.org/item/AIHPB_1994__30_2_245_0/
[1] A General Class of Quantum Fields Without Cut-offs in Two Space Time Dimension, Commun. Math. Phys., Vol. 21, 1971, pp. 244-255. | MR
,[2] Sur le chaos multiplicatif, Ann. Sci. Math. Québec, Vol. 9, (2), 1985, pp. 105-150. | MR | Zbl
,[3] Positive Martingales and Random Measures, Chin. Ann. of Math., 8B, (1), 1987, pp. 1-12. | MR | Zbl
,[4] 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. | MR | Zbl
,[5] On Equivalence of Infinite Product Measures, Ann. Math., Vol. 49, 1948, pp. 214-224. | MR | Zbl
,[6] On the Absolute Continuity of Infinite Product Measure and its Convolution, Probab. Th. Rel. Fields, Vol. 81, 1989, pp. 609-627. | MR | Zbl
and ,[7] Høegh-Krohn's Model of Quantum Fields and the Absolute Continuity of Measures, Preprint.
,[8] Absolute Continuity of One-Sided Random Translation, To appear in Stochastic Process Appl. | MR | Zbl
and ,[9] Some Integral Inequalities and Absolute Continuity of a Symmetric Random Translation, J. Funct. Anal., Vol. 114, 1993, pp. 257-266. | MR | Zbl
and ,