The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses-Reference-Cited by-同舟云学术

The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-589X
Container-title:Electronic Communications in Probability
language:
Short-container-title:Electron. Commun. Probab.

Author:

Addario-Berry Louigi¹,Blanc-Renaudie Arthur²,Donderwinkel Serte³,Maazoun Mickaël⁴,Martin James B.⁵

Affiliation:

1. Department of Mathematics and Statistics, McGill University, Montréal, Canada

2. Department of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

3. Department of Mathematics and Statistics, McGill University, Montréal, Canada.

4. Department of Statistics, Oxford, UK

5. Department of Statistics, Oxford, UK.

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference45 articles.

1. Louigi Addario-Berry. Most trees are short and fat. Probability theory and related fields, 173(1-2):1–26, 2019. ISSN 0178-8051. doi: 10.1007/s00440-018-0829-x. URL https://doi.org/10.1007/s00440-018-0829-x.

2. Louigi Addario-Berry. Lecture notes for the 2021 CRM-PIMS summer school in probability, 2021. URL http://problab.ca/louigi/notes/ssprob2021.pdf.

3. Louigi Addario-Berry and Serte Donderwinkel. Random trees have height $O(\sqrt{n})$ . preprint arXiv:2201.11773, 2022. URL https://arxiv.org/abs/2201.11773.

4. Louigi Addario-Berry, Luc Devroye, and Svante Janson. Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees. Ann. Probab., 41(2):1072–1087, 2013. ISSN 0091-1798. doi: 10.1214/12-AOP758. URL https://doi.org/10.1214/12-AOP758.

5. David Aldous. The continuum random tree. I. The Annals of Probability, 19(1):1–28, 1991. URL https://doi.org/10.1214/aop/1176990534.