The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence
Year: 2026
Type: preprint
Abstract: We study multi-type critical Bienaymé trees through the lens of the skeleton-blocks structure, seeing them as a monotype skeleton on which we have added multi-type blocks. This decomposition enjoys a remarkably elegant compatibility with the concept of local convergence, allowing us to find simple proofs of traditional local limit theorems.
Source: arXiv (Cornell University)
Authors: Bernard, Marc, Stephenson, Robin
Institution: University of Sheffield
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213597265