Selection of characters via empirical processes

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• Olivier Guedon, Jessieu
• Tuesday 29 January 2008, 16:00-17:00
• MR13, CMS.

If you have a question about this talk, please contact Ben Green.

Let f_1,...,f_n be a bounded orthonormal system, and let k be less than n. I will discuss the problem in finding a subset I of cardinality greater than n-k such that on the span of the f_i, i in I, the L_1 norm and the L_2 norm are “comparable”. Instead of the classical method of selectors, we use empirical processes. I will describe some results about the supremum of an empirical process (proved via the use of majorizing measures).

This talk is part of the Discrete Analysis Seminar series.

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