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Oct 9, 2017 at 2:55 history edited Ben Golub CC BY-SA 3.0
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Feb 8, 2011 at 17:01 history edited Ben Golub CC BY-SA 2.5
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Feb 8, 2011 at 17:01 comment added Ben Golub There are at least a few nonspectral probabilistic proofs of convergence (and you can't get by without them for infinite-state chains), but I'd argue the one a modern mathematician would stumble on most naturally at first is the proof based on the spectral decomposition.
Feb 8, 2011 at 5:40 comment added Yemon Choi Not wishing to gainsay the first para, but when I was shown the MC convergence to equilibrium result, it was proved using a coupling argument and (quite explicitly and deliberately) not using Perron-Frobenius or similar.
Feb 8, 2011 at 5:31 history edited Ben Golub CC BY-SA 2.5
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Feb 7, 2011 at 18:12 history edited Ben Golub CC BY-SA 2.5
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Feb 7, 2011 at 18:06 history edited Ben Golub CC BY-SA 2.5
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Feb 7, 2011 at 18:00 history answered Ben Golub CC BY-SA 2.5