Mellin transforms and asymptotics: harmonic sums
Theoretical Computer Science - Special volume on mathematical analysis of algorithms (dedicated to D. E. Knuth)
Watermelon uniform random generation with applications
Theoretical Computer Science - Random generation of combinatorial objects and bijective combinatorics
The Height and Range of Watermelons without Wall
Combinatorial Algorithms
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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''.