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Russian Mathematical Surveys, 1982, Volume 37, Issue 3, Pages 109–163
DOI: https://doi.org/10.1070/RM1982v037n03ABEH003274
(Mi rm3708)
 

This article is cited in 19 scientific papers (total in 19 papers)

Itô equations and differential geometry

Ya. I. Belopol'skaya, Yu. L. Daletskii
References:
Received: 02.12.1980
Bibliographic databases:
Document Type: Article
UDC: 513.73
Language: English
Original paper language: Russian
Citation: Ya. I. Belopol'skaya, Yu. L. Daletskii, “Itô equations and differential geometry”, Russian Math. Surveys, 37:3 (1982), 109–163
Citation in format AMSBIB
\Bibitem{BelDal82}
\by Ya.~I.~Belopol'skaya, Yu.~L.~Daletskii
\paper It\^o equations and differential geometry
\jour Russian Math. Surveys
\yr 1982
\vol 37
\issue 3
\pages 109--163
\mathnet{http://mi.mathnet.ru/eng/rm3708}
\crossref{https://doi.org/10.1070/RM1982v037n03ABEH003274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=659428}
\zmath{https://zbmath.org/?q=an:0499.60067|0508.60055}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1982RuMaS..37..109B}
Linking options:
  • https://www.mathnet.ru/eng/rm3708
  • https://doi.org/10.1070/RM1982v037n03ABEH003274
  • https://www.mathnet.ru/eng/rm/v37/i3/p95
  • This publication is cited in the following 19 articles:
    1. L.A. Dmitrieva, S.S. Chepilko, 2012 Proceedings of the International Conference Days on Diffraction, 2012, 54  crossref
    2. S.N. Storchak, “On the geometrical representation of the Jacobian in the path integral reduction problem”, Physics Letters A, 372:44 (2008), 6560  crossref  elib
    3. S N Storchak, J Phys A Math Gen, 34:43 (2001), 9329  crossref  mathscinet  zmath  adsnasa  isi
    4. S. N. Storchak, “Nonstationary generalized Duru–Kleinert transformation of path integrals for systems of differential equations in the one-dimensional space”, Theoret. and Math. Phys., 109:1 (1996), 1260–1268  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. S. N. Storchak, “Path reparametrization in functional integrals on vector bundles”, Theoret. and Math. Phys., 101:3 (1994), 1422–1429  mathnet  crossref  mathscinet  zmath  isi
    6. V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Russian Math. Surveys, 45:3 (1990), 1–104  mathnet  crossref  mathscinet  zmath  isi
    7. Ya. I. Belopol'skaya, Lecture Notes in Mathematics, 1453, Global Analysis - Studies and Applications IV, 1990, 187  crossref
    8. Michel Emery, Universitext, Stochastic Calculus in Manifolds, 1989, 113  crossref
    9. G. V. Nosovskii, “Estimates of the derivatives, with respect to the initial data, of the expectation of a solution of a stochastic equation on a manifold”, Math. USSR-Izv., 32:1 (1989), 167–189  mathnet  crossref  mathscinet  zmath
    10. A. Yu. Khrennikov, “Functional superanalysis”, Russian Math. Surveys, 43:2 (1988), 103–137  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    11. O. K. Sheinman, “Kernel of evolution operator in the space of sections of a vector bundle as integral over trajectories”, Funct. Anal. Appl., 22:3 (1988), 251–253  mathnet  crossref  mathscinet  zmath  isi
    12. S. N. Storchak, “Path reparametrization in a path integral on a finite-dimensional manifold”, Theoret. and Math. Phys., 75:3 (1988), 610–618  mathnet  crossref  mathscinet  zmath  isi
    13. Sergio Albeverio, Raphael Høegh-Krohn, Helge Holden, “Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields”, Journal of Functional Analysis, 78:1 (1988), 154  crossref
    14. Yu. E. Gliklikh, Lecture Notes in Mathematics, 1334, Global Analysis — Studies and Applications III, 1988, 246  crossref
    15. Z. Haba, “Instantons with noise: Equations for two-dimensional models”, Phys Rev D, 33:8 (1986), 2428  crossref  mathscinet  adsnasa  isi
    16. Yu. E. Gliklikh, Lecture Notes in Mathematics, 1214, Global Analysis — Studies and Applications II, 1986, 171  crossref
    17. Z Haba, J Phys A Math Gen, 18:7 (1985), L347  crossref  mathscinet  zmath  adsnasa  isi
    18. Nobuyuki Ikeda, Shinzo Watanabe, North-Holland Mathematical Library, 32, Stochastic Analysis, Proceedings of the Taniguchi International Symposium on Stochastic Analysis, 1984, 1  crossref
    19. Yu. L. Daletskii, “Stochastic differential geometry”, Russian Math. Surveys, 38:3 (1983), 97–125  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    Успехи математических наук Russian Mathematical Surveys
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