The square negative correlation property for generalized Orlicz balls

@inproceedings{Wojtaszczyk2008TheSN,
  title={The square negative correlation property for generalized Orlicz balls},
  author={Jakub Onufry Wojtaszczyk},
  year={2008}
}
Recently Antilla, Ball and Perissinaki proved that the squares of coordinate functions in ln p are negatively correlated. This paper extends their results to balls in generalized Orlicz norms on Rn. From this, the concentration of the Euclidean norm and a form of the Central Limit Theorem for the generalized Orlicz balls is deduced. Also, a counterexample for the square negative correlation hypothesis for 1-symmetric bodies is given. 

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