Multiscale functional inequalities in probability: Concentration properties
Multiscale functional inequalities in probability: Concentration properties
In a companion article we have introduced a notion of multiscale functional inequalities for functions X(A) of an ergodic stationary random field A on the ambient space R d .These inequalities are multiscale weighted versions of standard Poincaré, covariance, and logarithmic Sobolev inequalities.They hold for all the examples of fields …