Talks
Fall 2013

Introduction to Analysis on the Discrete Cube III

Thursday, September 12th, 2013 11:00 am12:30 pm

Add to Calendar

The basic notions and ideas of analysis on the discrete cube will be discussed, in an elementary and mostly self-contained exposition. These include the Walsh-Fourier expansion, random walk and its connection to the heat semigroup, hypercontractivity and related functional inequalities, influences, the invariance principle and its application to the Majority is Stablest problem. The mini-course will also contain some other applications and examples, as well as several open questions.