Displaying similar documents to “Explicit definition of an exact measure for the semiflow of a first order partial differential equation”

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

Luigi Ambrosio, Alessio Figalli (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We study points of density 1 / 2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density 1 / 2 is formulated in terms of the pointwise behaviour of the Ornstein-Uhlembeck semigroup.

On measure-preserving transformations and doubly stationary symmetric stable processes

A. Gross, A. Weron (1995)

Studia Mathematica

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In a 1987 paper, Cambanis, Hardin and Weron defined doubly stationary stable processes as those stable processes which have a spectral representation which is itself stationary, and they gave an example of a stationary symmetric stable process which they claimed was not doubly stationary. Here we show that their process actually had a moving average representation, and hence was doubly stationary. We also characterize doubly stationary processes in terms of measure-preserving regular...