Institut Mittag-Leffler The Royal Swedish Academy of Sciences

Reports Institut Mittag-Leffler
ISSN: 1103-467X
ISRN: IML-R

Rademacher Chaos: Tail Estimates vs Limit Theorems
Source file as Postscript Document Portable Document Format

Preprint series: Probability and Conformal Mappings - 2001/2002, No. 09

MSC 2000

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

47N30 Applications in probability theory and statistics

60C05 Combinatorial probability

60D05 Geometric probability, stochastic geometry, random sets

60F05 Central limit and other weak theorems

Keywords: Rademacher chaos, combinatorial dimension, fractional dimension, fractional Cartesian product, hypercontractivity, asymptotic normality