[00583] The empirical measure of invariant fields on sphere-cross-time
Session Time & Room : 2E (Aug.22, 17:40-19:20) @F412
Type : Contributed Talk
Abstract : In this talk we investigate geometric properties of random fields on the two-dimensional sphere evolving over time, that are widely used in several scientific areas to model and analyze data (e.g. in Climate Science related to Earth surface temperature). In particular we study the behavior for large time of their excursion area at any threshold, establishing both asymptotic variances and limit theorems. We will show that phase transitions can occur for specific levels and memory.