3 papers
math.CO2012
The Distribution of Heights of Discrete Excursions
Uwe Schwerdtfeger
We compute the limiting distribution of height of a random discrete excursion with step sets consisting of one positive step 1 and arbitrary finite set of non-positive integers. Th…
math.OC2011
Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices
Yousong Luo, Robin Hill, Uwe Schwerdtfeger
In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's ide…
math.CO2008
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams
Uwe Schwerdtfeger
We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry clas…