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Russian Mathematical Surveys, 1982, Volume 37, Issue 6, Pages 55–80
DOI: https://doi.org/10.1070/RM1982v037n06ABEH004023
(Mi rm3944)
 

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

On the general theory of random fields on the plane

A. A. Gushchin
References:
Received: 26.06.1982
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 60G60, 60G48, 82B20
Language: English
Original paper language: Russian
Citation: A. A. Gushchin, “On the general theory of random fields on the plane”, Russian Math. Surveys, 37:6 (1982), 55–80
Citation in format AMSBIB
\Bibitem{Gus82}
\by A.~A.~Gushchin
\paper On the general theory of random fields on the plane
\jour Russian Math. Surveys
\yr 1982
\vol 37
\issue 6
\pages 55--80
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\crossref{https://doi.org/10.1070/RM1982v037n06ABEH004023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=683273}
\zmath{https://zbmath.org/?q=an:0515.60053}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1982RuMaS..37...55G}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982RT03800005}
Linking options:
  • https://www.mathnet.ru/eng/rm3944
  • https://doi.org/10.1070/RM1982v037n06ABEH004023
  • https://www.mathnet.ru/eng/rm/v37/i6/p53
  • This publication is cited in the following 19 articles:
    1. Mariusz Michta, “Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane”, Stochastic Analysis and Applications, 41:6 (2023), 1191  crossref
    2. Mariusz Michta, Kamil Ł. Świątek, “Properties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingales”, Journal of Mathematical Analysis and Applications, 485:1 (2020), 123773  crossref
    3. B. Gail Ivanoff, Fields Institute Communications, 76, Asymptotic Laws and Methods in Stochastics, 2015, 87  crossref
    4. N. A. Kolodii, “Inequalities for the moments of stochastic integrals and stochastic Volterra equations driven a two-parameter Wiener process”, Siberian Math. J., 54:5 (2013), 829–840  mathnet  crossref  mathscinet  isi
    5. Pavel S. Knopov, Olena N. Deriyeva, Springer Optimization and Its Applications, 83, Estimation and Control Problems for Stochastic Partial Differential Equations, 2013, 93  crossref
    6. Pavel S. Knopov, Olena N. Deriyeva, Springer Optimization and Its Applications, 83, Estimation and Control Problems for Stochastic Partial Differential Equations, 2013, 1  crossref
    7. N. A. Kolodij, “On the measurability with respect to a parameter of stochastic integral driven by two-parametric strong martingale”, Theory Probab. Appl., 56:1 (2012), 132–140  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    8. N. A. Kolodii, “Existence and continuity with respect to parameter of solutions to stochastic Volterra equations in a plane”, Russian Math. (Iz. VUZ), 54:2 (2010), 16–27  mathnet  crossref  mathscinet  zmath  elib
    9. N. A. Kolodij, “Two-Parameter Stochastic Volterra Equations”, Math. Notes, 86:4 (2009), 493–504  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    10. Murray D. Burke, Dandong Feng, “The proportional hazards regression model with staggered entries: A strong martingale approach”, Stochastic Processes and their Applications, 116:8 (2006), 1195  crossref
    11. Diane Saada, Dean Slonowsky, “The set-indexed Ito integral”, J Anal Math, 94:1 (2004), 61  crossref  mathscinet  zmath  isi
    12. N. A. Kolodij, “Some properties of random fields connected with stochastic integrals with respect to strong martingales”, J. Math. Sci. (N. Y.), 137:1 (2006), 4531–4540  mathnet  crossref  mathscinet  zmath  elib
    13. Vincenzo Capasso, Marcello De giosab, Rosamaria Mininni, “Characterization of the spatial poisson process by stopping lines”, Stochastics and Stochastic Reports, 66:3-4 (1999), 221  crossref
    14. Marco Dozzi, B. Gail Ivanoff, Ely Merzbach, “Doob-meyer decomposition for set-indexed submartingales”, J Theoret Probab, 7:3 (1994), 499  crossref  mathscinet  zmath
    15. Eugenio Saavedra, “C-tightness criterion for non-adapted random fields”, Stochastic Processes and their Applications, 46:2 (1993), 213  crossref
    16. B. Gail Ivanoff, Ely Merzbacht, “Characterization of compensators for point processes on the plane”, Stochastics and Stochastic Reports, 29:3 (1990), 395  crossref
    17. I. V. Evstigneev, “Stochastic extremal problems and the strong Markov property of random fields”, Russian Math. Surveys, 43:2 (1988), 1–49  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    18. Nikos E. Frangos, Peter Imkeller, “The continuity of the quadratic variation of two-parameter martingales”, Stochastic Processes and their Applications, 29:2 (1988), 267  crossref
    19. Ely Merzbach, David Nualart, “Different kinds of two-parameter martingales”, Isr J Math, 52:3 (1985), 193  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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