Universal height and width bounds for random trees
Author:
Affiliation:
1. Department of Mathematics and Statistics, McGill University, Montreal, Canada
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference20 articles.
1. Louigi Addario-Berry. Tail bounds for the height and width of a random tree with a given degree sequence. Random Structures Algorithms, 41(2):253–261, 2012. ISSN 1042-9832. doi: 10.1002/rsa.20438. URL https://doi.org/10.1002/rsa.20438.
2. Louigi Addario-Berry. Most trees are short and fat. Probab. Theory 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.
3. Janson] 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.
4. Gérard Ben Arous, Manuel Cabezas, and Alexander Fribergh. Scaling limit for the ant in a simple high-dimensional labyrinth. Probab. Theory Related Fields, 174(1-2):553–646, 2019. ISSN 0178-8051. doi: 10.1007/s00440-018-0876-3. URL https://doi.org/10.1007/s00440-018-0876-3.
5. Shankar Bhamidi and Sanchayan Sen. Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes. 2009.10696 [math.PR], September 2020. URL https://arxiv.org/abs/2009.10696.
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