School Seminars and Colloquia

Applied Stochastic Geometry

Stochastic Processes Seminar

by Joe Yukich

Institution: Lehigh University
Date: Tue 26th March 2013
Time: 4:15 PM
Location: room F, Richard Berry Building

Abstract: This 6 hour mini-course surveys an active area of research
lying at the
interface of spatial statistics, random graphs, and discrete
stochastic geometry. The main focus is on the applications of tools
and methods in discrete stochastic geometry to various concrete
applied problems. Tools and methods include subadditivity,
stabilization, and the objective method. Applied problems of
interest include (i) establishing the limit theory of functionals of
random geometric graphs (ii) estimating volumes and surface areas of
an unknown target (iii) estimating intrinsic dimension of a random
data set (iv) finding the number of extreme points in a random
sample. The lectures assume only a working knowledge of basic
probability theory.