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math.PR2018
The Kannan-Lovász-Simonovits Conjecture
Yin Tat Lee, Santosh S. Vempala
The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is achieved to within a universal, dimension-independent constant factor by a hyper…
math.PR2017★ 1 cited
Stochastic Localization + Stieltjes Barrier = Tight Bound for Log-Sobolev
Yin Tat Lee, Santosh S. Vempala
Logarithmic Sobolev inequalities are a powerful way to estimate the rate of convergence of Markov chains and to derive concentration inequalities on distributions. We prove that th…