Sharpness of the phase transition for parking on random trees

DOI10.1002/rsa.21061zbMath1523.60025arXiv2012.00607MaRDI QIDQ6074705

Alice Contat

Publication date: 12 October 2023

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00607

zbMATH Keywords

phase transitionparkingBienaymé-Galton-Watson trees

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Parking on the infinite binary tree ⋮ The Foata-Fuchs proof of Cayley's formula, and its probabilistic uses ⋮ Parking on Cayley trees and frozen Erdős-Rényi

Cites Work

• Unnamed Item
• Unnamed Item
• Parking functions for mappings
• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• Asymptotic fringe distributions for general families of random trees
• Random trees and applications
• Sharp phase transition for the random-cluster and Potts models via decision trees
• Local limits of large Galton-Watson trees rerooted at a random vertex
• Sharpness of the phase transition in percolation models
• The Derrida-Retaux conjecture on recursive models
• Parking on a random rooted plane tree
• Asymptotic normality of fringe subtrees and additive functionals in conditioned Galton-Watson trees
• Runoff on rooted trees
• Parking on a Random Tree
• An Occupancy Discipline and Applications

This page was built for publication: Sharpness of the phase transition for parking on random trees