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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 4, Pages 649–659 (Mi tvp2324)  
This article is cited in 10 scientific papers (total in 10 papers)

Multimode waveguides and probability distributions on a symplectic group

V. N. Tutubalin

Moscow
Full-text PDF (695 kB) Citations (10)
Abstract: Any transmission matrix for a multimode waveguide mith random non-homogeneities is symplectic. An analogue of the central limit theorem is applied to investigate products of such matrices.
Received: 28.04.1970
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 4, Pages 631–642
DOI: https://doi.org/10.1137/1116070
Bibliographic databases:
Language: Russian
Citation: V. N. Tutubalin, “Multimode waveguides and probability distributions on a symplectic group”, Teor. Veroyatnost. i Primenen., 16:4 (1971), 649–659; Theory Probab. Appl., 16:4 (1971), 631–642
Citation in format AMSBIB
\Bibitem{Tut71}
\by V.~N.~Tutubalin
\paper Multimode waveguides and probability distributions on a~symplectic group
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 4
\pages 649--659
\mathnet{http://mi.mathnet.ru/tvp2324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=292125}
\zmath{https://zbmath.org/?q=an:0268.60093}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 4
\pages 631--642
\crossref{https://doi.org/10.1137/1116070}
Linking options:
  • https://www.mathnet.ru/eng/tvp2324
  • https://www.mathnet.ru/eng/tvp/v16/i4/p649
    • This publication is cited in the following 10 articles:
    1. Modern Theory of Summation of Random Variables, 1997, 397  crossref
    2. A. D. Venttsel', S. A. Molchanov, V. N. Tutubalin, “Asymptotic problems in probability theory and the theory of random media”, Theory Probab. Appl., 35:1 (1990), 87–93  mathnet  mathnet  crossref  isi
    3. Bernard Souillard, “Electrons in random and almost-periodic potentials”, Physics Reports, 103:1-4 (1984), 41  crossref
    4. Theo Verheggen, “The transmission coefficients of a random system”, Applied Scientific Research, 37:1-2 (1981), 163  crossref
    5. Werner Kohler, “Power Reflection at the Input of a Randomly Perturbed Rectangular Waveguide”, SIAM J. Appl. Math., 32:3 (1977), 521  crossref
    6. S. V. Rezničenko, “The structure of the fundamental matrix of a system of coupled-mode equations”, Theory Probab. Appl., 22:2 (1978), 311–325  mathnet  mathnet  crossref
    7. S. V. Rezničenko, “An investigation of systems of coupled-mode equations with small random disturbances”, Theory Probab. Appl., 22:1 (1977), 124–128  mathnet  mathnet  crossref
    8. M. H. Zakhar-Itkin, “The matrix Riccati differential equation and the semi-group of linear fractional transformations”, Russian Math. Surveys, 28:3 (1973), 89–131  mathnet  crossref  mathscinet  zmath
    9. Roger W. Brockett, Geometric Methods in System Theory, 1973, 43  crossref
    10. V. N. Tutubalin, “A representation of random matrices in orispherical coordinates and its application to telegraph equations”, Theory Probab. Appl., 17:2 (1973), 255–268  mathnet  mathnet  crossref
    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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