|Universiteit Faculteit FNWI English version||5 december 2006, e-mail|
Woensdag 6 december 2006
AbstractDefine the mapping Sd on the set of ordered d-tuples x of positive reals as follows: keep the smallest number, subtract it from the others and reorder the result in a non-decreasing way.
Meester and Nowicky proved that, for d=3 and almost all x, Sdn(x) tends to a vector different from the null-vector, as n tends to infinity. Later, Meester and K. showed that this result holds for d ≥ 3.
In this lecture, the proof of this results is outlined, and some applications and generalizations will be given.