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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 2, Pages 291–303
(Mi tvp1791)
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This article is cited in 9 scientific papers (total in 9 papers)
A multiwave transmission line with random non-homogeneities and a Brownian movement in Siegel's circle
M. H. Zakhar-Itkin Moscow
Abstract:
A multiwave transmission line without loses is considered. After a similarity transformation of the matrix coefficient of reflection, it becomes a point of the classical matrix, domain of the first kind, in other words, Siegel's circle.
A transmission along the transmission line leads to a linear fractional transformation of Siegel's circle onto itself. A diffusion equation for a random walk corresponding to these transformations in Siegel's circle is obtained. The invariance of the diffusuion equation enables to study the statistics of the random distance from zero matrix to a walkingspoint of Siegel's circle.
Received: 27.03.1969
Citation:
M. H. Zakhar-Itkin, “A multiwave transmission line with random non-homogeneities and a Brownian movement in Siegel's circle”, Teor. Veroyatnost. i Primenen., 15:2 (1970), 291–303; Theory Probab. Appl., 15:2 (1970), 282–294
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Abstract page: | 243 | Full-text PDF : | 91 | First page: | 2 |
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