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Some results about stochastic flows with and without jumps

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Literature Cited

  1. P. Baxendale, “Brownian motion in the diffeomorphisms group. I,” Comp. Math.,53, 19–50 (1984).

    Google Scholar 

  2. P. Baxendale and T. E. Harris, “Isotropic stochastic flows,” Ann. Prob.,14, 1155–1179 (1986).

    Google Scholar 

  3. E. Cinlar, Lectures on Stochastic Processes. Unpublished manuscript. Evanston, Illinois (1983).

  4. T. Fujiwara and H. Kunita, “Stochastic differential equations of jump type and Levy processes in diffeomorphisms group,” J. Math. Kyoto Univ.,25, 71–106 (1985).

    Google Scholar 

  5. T. E. Harris, “Brownian motions on the homeomorphisms of the plane,” Ann. Prob.,9, 232–254 (1981).

    Google Scholar 

  6. H. Kunita, “Convergence of stochastic flows with jumps and Lévy processes in diffeomorphisms group,” Ann. Inst. Henry Poincaré,22, No. 3, 287–321 (1986).

    Google Scholar 

  7. W. C. Lee, “Random stirring of the real line,” Ann. Prob.,2, 580–592 (1974).

    Google Scholar 

  8. Y. LeJan, “Flots de diffusions dans Rd,” C. R. Acad. Sci. Paris,294, ser. 1. 697–699 (1982).

    Google Scholar 

  9. Y. LeJan, “On isotropic Brownian motions,” Z. Wahrsch. Verw. Geb.,70, 609–620 (1985).

    Google Scholar 

  10. Y. LeJan and S. Watanabe, “Stochastic flows of diffeomorphisms,” in: Stochastic Analysis. Proceedings of the Taniguchi symposium, North Holland, Amsterdam-New York (1984), pp. 307–332.

    Google Scholar 

  11. H. Matsumoto and I. Shigekawa, “Limit theorems for stochastic flows of diffeomorphisms of jump type,” Z. Wahrsch. verw. Geb.,69, 507–540 (1985).

    Google Scholar 

  12. A. Yaglom, “Some classes of random fields in n-dimensional space, related to stationary random processes,” Theory Probab. Appl., 273–320 (1957).

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Work supported by M. P. I.

Dipartimento di Statistica Probabilitae, Statistiche Applicate, Universita di Roma, “La Sapienza.” Translated from Litovoskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 30, No. 3, pp. 470–478, July–September, 1990.

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Bassan, B. Some results about stochastic flows with and without jumps. Lith Math J 30, 208–215 (1990). https://doi.org/10.1007/BF00970803

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  • DOI: https://doi.org/10.1007/BF00970803

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