Multiscale functional inequalities in probability: Constructive approach
Multiscale functional inequalities in probability: Constructive approach
Consider an ergodic stationary random field A on the ambient space ℝ d . In order to establish concentration properties for nonlinear functions Z(A), it is standard to appeal to functional inequalities like Poincaré or logarithmic Sobolev inequalities in the probability space. These inequalities are however only known to hold …