Prof. dr. Marta Sanz-Solé: Deterministic sets visited by random trajectories

Date of publication: 12. 2. 2012
Mathematics colloquium
Četrtek, 16. 2. 2012, ob 18h v predavalnici 2.02 na Jadranski 21.

Marta Sanz-Solé

Univerza v Barceloni
Predsednica evropskega matematičnega društva 

We are interested in geometric measure properties of deterministic sets hit by random fields. More specifically, we will analyze conditions which provide upper and lower bounds for hitting probabilities of random fields in terms of the Hausdorff measure and the Bessel-Riesz capacity of the deterministic sets, respectively. The role of the regularity of the random fields, and the properties of probability densities will be highlighted. As an illustration, we shall consider systems of different types of stochastic partial differential equation.