Bourgain's slicing problem and KLS isoperimetry up to polylog
Bo'az Klartag, Joseph Lehec·2022-03-29·via math.PR updates on arXiv.org
We prove that Bourgain's hyperplane conjecture and the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.