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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 2, Pages 374–380
DOI: https://doi.org/10.4213/tvp470 (Mi tvp470) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

Semimartingale functions of a class of diffusion processes

M. G. Maniaa, R. N. Tevzadzeb

a A. Razmadze Mathematical Institute, Georgian Academy of Sciences
b Institute of Cybernetics
Full-text PDF (417 kB) Citations (6)
DOI: https://doi.org/10.4213/tvp470
Abstract: This paper obtains the necessary and sufficient conditions on the function $f=(f(t,x), t\ge0, x\in \mathbf{R})$ for which the transformed process $f=f(t,\xi_t)$ will be a semimartingale (or the Ito process) for any diffusion process $\xi$ with measurable bounded coefficients and uniformly nondegenerate Hölder diffusion.
Keywords: semimartingale functions, diffusion process, generalized derivatives.
Received: 06.04.1998
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 2, Pages 337–343
DOI: https://doi.org/10.1137/S0040585X97978282
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. G. Mania, R. N. Tevzadze, “Semimartingale functions of a class of diffusion processes”, Teor. Veroyatnost. i Primenen., 45:2 (2000), 374–380; Theory Probab. Appl., 45:2 (2001), 337–343
Citation in format AMSBIB
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\by M.~G.~Mania, R.~N.~Tevzadze
\paper Semimartingale functions of a class of diffusion processes
\jour Teor. Veroyatnost. i Primenen.
\yr 2000
\vol 45
\issue 2
\pages 374--380
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\transl
\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 2
\pages 337--343
\crossref{https://doi.org/10.1137/S0040585X97978282}
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  • https://doi.org/10.4213/tvp470
  • https://www.mathnet.ru/eng/tvp/v45/i2/p374
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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