SPINAL PARTITIONS AND INVARIANCE UNDER RE-ROOTING OF CONTINUUM RANDOM TREES

We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree decompositions. We prove that for a two-parameter Poisson-Dirichlet family of continuous fragmentation trees...

Full description

Bibliographic Details
Main Authors: Haas, B, Pitman, J, Winkel, M
Format: Journal article
Language:English
Published: 2009