On Expected Factors in Reduced Decompositions in Type B

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The expected number of Yang-Baxter moves appearing in a reduced decomposition of the longest element of the Coxeter group of type B_n is computed to be 2-4/n. For the same element, the expected number of 0101 or 1010 factors appearing in a reduced decomposition is 2/(n^2-2).
8 pages; 4 figures

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Combinatorics, 05E15; 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/75995

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508153
 http://arxiv.org/abs/math/0508153

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arXiv