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This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Hope someone comes along and improves this. I've seen this bound for the finite Markov chain case...anyone know if it is true if, say, the state space is countable? --Pierremenard03:35, 9 February 2006 (UTC)[reply]
It's my understanding that this idea comes from global analysis, where we derive a constant for a Riemannian closed manifold by minimizing the quotient ranging over all submanifolds. Please if someone knows more about this, by another name perhaps, let me know and/or add to this. MotherFunctor20:50, 28 August 2006 (UTC)[reply]