Talk:Cheeger bound

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? --Pierremenard 03:35, 9 February 2006 (UTC)

on Riemannian manifolds

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 ${\frac {|\partial A|}{|A|}}$ ranging $A$ over all submanifolds. Please if someone knows more about this, by another name perhaps, let me know and/or add to this. MotherFunctor 20:50, 28 August 2006 (UTC)