Summary
We show that the distribution of the composition g 1...g nof random elements g 1,...,g nof the group SO(3) tends to the uniform distribution in far more general situations, than in the commutative case.
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References
Major, P., Shlosman, S.B.: A local limit theorem for the convolution of probability measures on a compact connected group. Z. Wahrscheinlichkeitstheorie verw. Gebiete 50, 137–148 (1979)
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Shlosman, S.B. The influence of non-commutativity on limit theorems. Z. Wahrscheinlichkeitstheorie verw Gebiete 65, 627–636 (1984). https://doi.org/10.1007/BF00531842
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DOI: https://doi.org/10.1007/BF00531842