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Isoperimetric Inequalites and Concentration of Measure Phenomenon

Student-Run Research Seminar

Speaker: Deanna Needell, UC Davis
Location: 2112 MSB
Start time: Wed, Nov 15 2006, 12:10PM

In this talk I will discuss the isoperimetric inequalities on the sphere and in Gauss space. I will show how the inequality in Gauss space can be derived from that on the sphere. I will then discuss various consequences of these inequalities in concentration of measure. I will show that our intuition in lower dimensions fails us in higher dimensions, and prove Levy's Lemma which says that "nice" functions on the sphere are "almost constant almost everywhere."