If the Euclidean norm | · | is strongly concentrated with respect to a measure μ, the average distribution of an average marginal of μ has Gaussian asymptotics that captures tail behaviour. If the marginals of μ have exponential moments, Gaussian asymptotics for the distribution of the average marginal implies Gaussian asymptotics for the distribution of most individual marginals. We show applications to measures of geometric origin.
|Title of host publication||Geometric Aspects of Functional Analysis|
|Subtitle of host publication||Israel Seminar 2004-2005|
|Number of pages||25|
|ISBN (Print)||3540720529, 9783540720522|
|State||Published - 2007|
|Name||Lecture Notes in Mathematics|