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Weak and Strong Moments of l_r-norms of Log-concave Vectors

Tuesday, April 14, 2015 - 9:00am - 9:50am
Keller 3-180
Rafal Latala (University of Warsaw)
The fundamental result of Paouris gives the large deviation estimate for Euclidean norms of log-concave vectors. We extend it to the case of l_r-norms
and show that for r>=2, p>=1 the p-th moment of the l_r-norm of a log-concave random vector is comparable to the sum of the first moment and the weak p-th moment up to a constant proportional to r.

Joint work with Marta Strzelecka (University of Warsaw).
MSC Code: 
60F10
Keywords: