A Dimension-Free Bound on the Poincaré Constant of Isotropic Log-Concave Measures

Krishnakumar Balasubramanian, Shiva Kasiviswanathan

The Kannan--Lovász--Simonovits (KLS) conjecture asserts that isotropic log-concave probability measures have Poincaré constants bounded by a universal constant, independently of di…