Large Deviations for Random Trees

Abstract

We consider large random trees under Gibbs distributions and prove a Large Deviation Principle (LDP) for the distribution of degrees of vertices of the tree. The LDP rate function is given explicitly. An immediate consequence is a Law of Large Numbers for the distribution of vertex degrees in a large random tree. Our motivation for this study comes from the analysis of RNA secondary structures.

10 pages

Cited by in corpus (2)

• Large Deviations for Random Trees and the Branching of RNA Secondary Structures
• Parametric analysis of RNA folding