Stochastic Mappings and Random Distribution Fields II: Stationarity

Random Fields: Stationarity, Ergodicity, and Spectral Behavior

Stochastic Processes and Random Fields

Stationarity and random locations

We introduce a notion called “intrinsic location functional”. This is a large family of random locations including, for example, the location of the path supremum/infimum over an interval, the first/last hitting time, among many others. On one hand, it is proved that under stationarity, the distributions of intrinsic location functionals must satisfy the same very specific constraints, in spite...

Random Fields and Stochastic Geometry (09w5040)

The main topics of this workshop lay at the point where Probability meets Geometry, specifically the study of the random geometry and topology generated by smooth random functions. While these problems have their roots in various applications of image and shape analysis in a wide variety of disciplines, their main mathematical content lies in probability theory. It is there that recent major ad...

On Singular Stationarity II (tight stationarity and extenders-based methods)

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results which show that it is possible for a sequence of regular cardinals hnin<! to have the property that for every sequence ~ S, of some fixed-cofinality stationary sets Sn ✓ n, ~ S is tightly stationary in a generic extension. The results are obtained using variatio...