Branch merging on continuum trees with applications to regenerative tree growth

We introduce a family of branch merging operations on continuum trees and show that Ford CRTs are distributionally invariant. This operation is new even in the special case of the Brownian CRT, which we explore in more detail. The operations are based on spinal decompositions and a regenerativity pr...

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Bibliographic Details
Main Author: Rembart, F
Format: Journal article
Published: Instituto Nacional de Matemática Pura e Aplicada 2016