Date & Time: Monday, April 21, 2014, 14:30-15:00.
Venue: IRCC Conference Room II, SOM-IRCC Building
Title: Limit theory for topology of the Boolean model
Speaker: D. Yogeshwaran, Technion
Abstract: The Boolean model (union of balls centred at random points) is a well-known model of a random set in stochastic geometry with many applications. In this talk, I shall try to summarize some recent results on the topology of the Boolean model as measured by its Betti numbers. In particular, I shall try to describe strong laws, concentration inequalities and central limit theorems for the Betti numbers of a Boolean model on Poisson and Binomial point processes.