CONTINUITÉ DES TRAJECTOIRES DES CHAOS GAUSSIENS DE DEGRÉFINI
P. Heinrich
Abstract: We extend a theorem due to Fernique [4]: let be a Gaussian real chaos of finite
degree on a metric compact set Suppose that is continuous in probability and a.s.
continuous along where is a countable dense subset of Then has a
modification with continuous paths. This result is obtained by using decoupling methods [1],
integrability properties for homogeneous Gaussian chaos and numerical oscillations of
random functions [6].