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

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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

$n$ 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

$n$ 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

$n$ 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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\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}

Linking options:

https://www.mathnet.ru/eng/tmf1491

https://www.mathnet.ru/eng/tmf/v96/i1/p64

This publication is cited in the following 10 articles:

Sean Gasiorek, “Counting Collisions in an $N$ -Billiard System Using Angles Between Collision Subspaces”, SIGMA, 16 (2020), 119, 13 pp.
S. M. Saulin, “O beguschikh volnakh v sistemakh absolyutno uprugikh chastits na pryamoi”, Chebyshevskii sb., 21:2 (2020), 341–361
J. Czyzowicz, S. Dobrev, E. Kranakis, Eduardo Pacheco, “Survivability of bouncing robots”, Discrete Math. Algorithm. Appl., 08:03 (2016), 1650042
Jurek Czyzowicz, Evangelos Kranakis, Eduardo Pacheco, Dominik Pająk, Lecture Notes in Computer Science, 9439, Structural Information and Communication Complexity, 2015, 285
Jurek Czyzowicz, Evangelos Kranakis, Eduardo Pacheco, “Localization for a system of colliding robots”, Distrib. Comput., 28:4 (2015), 245
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis, Eduardo Pacheco, Lecture Notes in Computer Science, 8392, LATIN 2014: Theoretical Informatics, 2014, 622
Jurek Czyzowicz, Evangelos Kranakis, Eduardo Pacheco, Lecture Notes in Computer Science, 7966, Automata, Languages, and Programming, 2013, 508
Wang H., Guo Y., “Synchronization on a Segment Without Localization: Algorithm and Applications”, 2009 IEEE-Rsj International Conference on Intelligent Robots and Systems, 2009, 3441–3446
Lizhou Chen, “Inversion Number and Collisions in Some Billiard Systems”, J Stat Phys, 137:2 (2009), 331
D. Burago, S. Ferleger, A. Kononenko, “Collisions in semi-dispersing billiard on Riemannian manifold”, Topology and its Applications, 122:1-2 (2002), 87

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	308
Full-text PDF :	121
References:	49
First page:	1

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