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The Subgroup Algorithm for Generating Uniform Random Variables

by: Persi Diaconis, Mehrdad Shahshahani
Probability in the Engineering and Informational Sciences, Vol. 1, No. 01. (1987), pp. 15-32, doi:10.1017/s0269964800000255  Key: citeulike:8129184

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Abstract

We suggest a simple algorithm for Monte Carlo generation of uniformly distributed variables on a compact group. Example include random permutations, Rubik's cube positions, orthogonal, unitary, and symplectic matrices, and elements of GLn over a finite field. the algorithm reduces to the âstandardâ fast algorithm when there is one, but many new example are included.


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