3 papers
math.PR2008
The negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball
Marcin Pilipczuk, Jakub Onufry Wojtaszczyk
Random variables equidistributed on convex bodies have received quite a lot of attention in the last few years. In this paper we prove the negative association property (which gene…
math.PR2008
The square negative correlation property for generalized Orlicz balls
Jakub Onufry Wojtaszczyk
Antilla, Ball and Perissinaki proved that the squares of coordinate functions in are negatively correlated. This paper extends their results to balls in generalized Orli…
math.FA2008
A series whose sum range is an arbitrary finite set
Jakub Onufry Wojtaszczyk
In finitely-dimensional spaces the sum range of a series has to be an affine subspace. It is long known this is not the case in infinitely dimensional Banach spaces. In particular…