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Random bistochastic matrices
2009
Journal of Physics A: Mathematical and Theoretical
Ensembles of random stochastic and bistochastic matrices are investigated. While all columns of a random stochastic matrix can be chosen independently, the rows and columns of a bistochastic matrix have to be correlated. We evaluate the probability measure induced into the Birkhoff polytope of bistochastic matrices by applying the Sinkhorn algorithm to a given ensemble of random stochastic matrices. For matrices of order N = 2 we derive explicit formulae for the probability distributions
doi:10.1088/1751-8113/42/36/365209
fatcat:wrjlot2nibh37mhjjitbxxwu2a