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Apr 7, 2010 at 1:33 comment added Jon In the application to the Holder inequality, one uses the fact that if U is a unitary operator, then replacing the matrix elements of U by the squares of their absolute values yields a doubly-stochastic matrix.
Apr 4, 2010 at 18:25 comment added Qiaochu Yuan Doubly-stochastic matrices (in one interpretation, anyway) describe transition probabilities of some Markov chain where all the transitions are reversible. The relevant vector space is the free vector space over the states of the chain. Maybe this interpretation isn't directly relevant to the application you're thinking of, but there should be some connection.
Apr 4, 2010 at 18:10 history edited Jon CC BY-SA 2.5
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Apr 1, 2010 at 21:15 history edited Jon CC BY-SA 2.5
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Apr 1, 2010 at 21:08 history answered Jon CC BY-SA 2.5