Scaling limits of Markov-Branching trees and applications

2016/05/25 by Haas, Bénédicte
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1605.07873

Abstract

The goal of these lectures is to survey some of the recent progress on the description of large-scale structure of random trees. We use the framework of Markov-Branching sequences of trees and discuss several applications.

Related

• Scaling limits of Markov branching trees and Galton-Watson trees conditioned on the number of vertices with out-degree in a given set
• Scaling limits of multi-type Markov Branching trees
• Local limits of Markov Branching trees and their volume growth
• Scaling limits for some random trees constructed inhomogeneously
• Scaling limit of trees with vertices of fixed degrees and heights