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math.PR2025
Limit distributions for cycles of random parking functions
J. E. Paguyo, Mei Yin
We study the asymptotic behavior of cycles of uniformly random parking functions. Our results are multifold: we obtain an explicit formula for the number of parking functions with…
math.PR2025
Asymptotic behavior of clusters in hierarchical species sampling models
Stefano Favaro, Shui Feng, J. E. Paguyo
Consider a random sample of size from a hierarchical species sampling model. In this paper, we study the large asymptotic behavior of the number of clusters in…