The height and range of watermelons without wall

Mathematics – Combinatorics

Scientific paper

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13 pages and 2 figures. More detailed representation. Improved Theorem 2 (height moment asymptotics)

Scientific paper

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".

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