The height and range of watermelons without wall
Combinatorics
2015-05-13 v2 Statistical Mechanics
Mathematical Physics
math.MP
Probability
Abstract
We determine the weak limit of the distribution of the random variables "height" and "range" on the set of p-watermelons without wall restriction as the number of steps tends to infinity. Additionally, we provide asymptotics for the moments of the random variable "height".
Cite
@article{arxiv.0806.0037,
title = {The height and range of watermelons without wall},
author = {Thomas Feierl},
journal= {arXiv preprint arXiv:0806.0037},
year = {2015}
}
Comments
13 pages and 2 figures. More detailed representation. Improved Theorem 2 (height moment asymptotics)