2 papers
math.PR2005
Mixing Time Bounds via the Spectral Profile
Sharad Goel, Ravi Montenegro, Prasad Tetali
On complete, non-compact manifolds and infinite graphs, Faber-Krahn inequalities have been used to estimate the rate of decay of the heat kernel. We develop this technique in the s…
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…