 
Summary: Seminar in Probability and Stochastic Processes 098435
Spring 2005
First Meeting: Wednesday 9.3.2005 12:3014:30 Room 152 IE
Three topics we intend to cover are:
Stochastic Geometry of Interacting Spin Systems
Dima Ioffe
Lecture 1: CurieWeiss mean field model: Formulation, phase transition, limit the
orems.
Lecture 2:. Sparse random graphs: Emergence of the giant component.
Lecture 3:. Random graph representation of the CurieWeiss model. Continuous
time random graphs and quantum versions of the CurieWeiss model.
Some problems in Gaussian processes and some problems in
geometry
Robert Adler
Lecture 1: About maxima and geometry. Expansions of Gaussian processes, Poincare's
limit theorem a la Diaconis, Gaussian processes and the infinite dimensional unit
sphere.
Lecture 2: LipshitzKilling curvatures. Tube formulae and the fundamental kine
matic formula on spheres. Minkowski functionals on Gauss space.
Lecture 3: A Gaussian kinematic formula. Back to maxima and geometry.
