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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 442, Pages 101–117 (Mi znsl6246)  
This article is cited in 6 scientific papers (total in 6 papers)

Symmetric $\alpha$-stable distributions for noninteger $\alpha>2$ and related stochastic processes

M. V. Platonova

Chebyshev Laboratory, Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (239 kB) Citations (6)
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Abstract: We construct analogues of symmetric $\alpha$-stable distributions for noninteger indices $\alpha>2$ and investigate their links to solutions of the Cauchy problem for some evolution equations.
Key words and phrases: evolution equation, limit theorem, stable distribution.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0026
Gazprom Neft
Received: 02.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 5, Pages 791–801
DOI: https://doi.org/10.1007/s10958-017-3494-1
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. V. Platonova, “Symmetric $\alpha$-stable distributions for noninteger $\alpha>2$ and related stochastic processes”, Probability and statistics. Part 23, Zap. Nauchn. Sem. POMI, 442, POMI, St. Petersburg, 2015, 101–117; J. Math. Sci. (N. Y.), 225:5 (2017), 791–801
Citation in format AMSBIB
\Bibitem{Pla15}
\by M.~V.~Platonova
\paper Symmetric $\alpha$-stable distributions for noninteger $\alpha>2$ and related stochastic processes
\inbook Probability and statistics. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 442
\pages 101--117
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3506847}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 5
\pages 791--801
\crossref{https://doi.org/10.1007/s10958-017-3494-1}
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  • https://www.mathnet.ru/eng/znsl/v442/p101
    • 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
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