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Graduate Seminar

Nicolas Garcia Trillos
Carnegie Mellon University
Title: Some Problems and Techniques in Geometric Probability

Abstract: We will explore some of the problems and techniques from Geometric Probability. The main idea is to endow sets of points, lines, strips, planes etc with a measure which is invariant under the transformations that preserve geometric properties. To give you a hint of the type of questions we will answer tomorrow, I have listed some common problems in Geometric Probability: - What is the chance that three random points in the plane form an acute triangle? - What is the distribution of a random chord of a convex set? - (Buffon's needle problem) What is the chance that a needle dropped randomly onto a floor marked with equally spaced parallel lines will cross one of the lines?

Date: Thursday, January 29, 2015
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Zilin Jiang