arXiv Open Access 2022

Cycle structure of random parking functions

J. E. Paguyo

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Abstrak

We initiate the study of the cycle structure of uniformly random parking functions. Using the combinatorics of parking completions, we compute the asymptotic expected value of the number of cycles of any fixed length. We obtain an upper bound on the total variation distance between the joint distribution of cycle counts and independent Poisson random variables using a multivariate version of Stein's method via exchangeable pairs. Under a mild condition, the process of cycle counts converges in distribution to a process of independent Poisson random variables.

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Penulis (1)

J. E. Paguyo

Format Sitasi

APA MLA BibTeX

Paguyo, J.E. (2022). Cycle structure of random parking functions. https://arxiv.org/abs/2202.08829

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓