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Isoperimetric Inequalites and Concentration of Measure Phenomenon
Student-Run Research| Speaker: | Deanna Needell, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, Nov 15 2006, 12:10PM |
Description
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."