%0 Journal Article %T A note on the extreme discrepancy of the Hammersley net in base 2 %A Peter Kritzer %J Uniform Distribution Theory %D 2011 %I Mathematical Institute of the Slovak Academy of Sciences %X In this note, we study lower bounds on the extreme discrepancy of the Hammersley net in base 2. The Hammersley netin base 2 can be interpreted as a finite two-dimensional analogue of the well known (one-dimensional) van der Corput sequence in base 2. For the van der Corput sequence it is known that its star discrepancy equals its extreme discrepancy. In this paper, we prove the rather surprising fact that the same does not hold for the Hammersley net, by giving lower bounds on its extreme discrepancy. We furthermore state a few remarks on upper bounds and conclude with a conjecture. %K Extreme discrepancy %K star discrepancy %K Hammersley net %K van der Corput se- quence %K distance to the nearest integer %U http://www.boku.ac.at/MATH/udt/vol06/no1/2Kritzer11-1.pdf