ON THE PROBABILITY DISTRIBUTION OF THE PRODUCT OF POWERS OF ELEMENTS IN COMPACT LIE GROUPS
2019 ◽
Vol 100
(3)
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pp. 440-445
Keyword(s):
In this paper, we study the probability distribution of the word map $w(x_{1},x_{2},\ldots ,x_{k})=x_{1}^{n_{1}}x_{2}^{n_{2}}\cdots x_{k}^{n_{k}}$ in a compact Lie group. We show that the probability distribution can be represented as an infinite series. Moreover, in the case of the Lie group $\text{SU}(2)$, our computations give a nice convergent series for the probability distribution.
2011 ◽
Vol 54
(2)
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pp. 207-216
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Keyword(s):
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1996 ◽
Vol 120
(1)
◽
pp. 61-69
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Keyword(s):
1978 ◽
Vol 18
(2)
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pp. 243-254
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Keyword(s):
1996 ◽
Vol 61
(3)
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pp. 327-344
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1972 ◽
Vol 24
(3)
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pp. 432-438
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2013 ◽
Vol 12
(08)
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pp. 1350055
1977 ◽
Vol 24
(4)
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pp. 440-457
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