Random Trees and Maps
Continuum random tree, Brownian map, and Liouville quantum gravity.
Random Trees and Maps. Continuum random tree, Brownian map, and Liouville quantum gravity.
Foundations and canonical references
The standard treatments of random trees and maps approach the subject from complementary angles. Duquesne, Random Trees, Levy Processes and Spatial Branching Processes (2002) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for random trees and maps include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2002Random Trees, Levy Processes and Spatial Branching Processesduquesne-2002, lejan-2002
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