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math.FA2004
A sharp isoperimetric bound for convex bodies
Ravi Montenegro
We consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound i…
math.PR2004
Vertex and edge expansion properties for rapid mixing
Ravi Montenegro
We show a strict hierarchy among various edge and vertex expansion properties of Markov chains. This gives easy proofs of a range of bounds, both classical and new, on chi-square d…