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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 96, Number 1, Pages 64–78 (Mi tmf1491)  
This article is cited in 10 scientific papers (total in 10 papers)

Estimate of the number of collisions of n elastic particles on a line

M. B. Sevryuk

Institute of Energy Problems of Chemical Physics, Russian Academy of Sciences
Full-text PDF (1418 kB) Citations (10)
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Abstract: An explicit upper bound is obtained for the number of reflections of a billiard trajectory in a multidimensional polyhedral angle (in particular, for the number of collisions of n elastic particles on a line) in terms of a special geometrical characteristic of the angle.
Received: 19.06.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 96, Issue 1, Pages 818–826
DOI: https://doi.org/10.1007/BF01074110
Bibliographic databases:
Language: Russian
Citation: M. B. Sevryuk, “Estimate of the number of collisions of n elastic particles on a line”, TMF, 96:1 (1993), 64–78; Theoret. and Math. Phys., 96:1 (1993), 818–826
Citation in format AMSBIB
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\by M.~B.~Sevryuk
\paper Estimate of the number of collisions of $n$ elastic particles on a~line
\jour TMF
\yr 1993
\vol 96
\issue 1
\pages 64--78
\mathnet{http://mi.mathnet.ru/tmf1491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243860}
\zmath{https://zbmath.org/?q=an:0798.70009}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 96
\issue 1
\pages 818--826
\crossref{https://doi.org/10.1007/BF01074110}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MN25800005}
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  • https://www.mathnet.ru/eng/tmf/v96/i1/p64
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:308
    Full-text PDF :121
    References:49
    First page:1
     
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