Work

The Brownian continuum random tree as the unique solution to a fixed point equation

Year: 2015

Type: preprint

Abstract: In this note, we provide a new characterization of Aldous' Brownian continuum random tree as the unique fixed point of a certain natural operation on continuum trees (which gives rise to a recursive distributional equation). We also show that this fixed point is attractive.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1504.05445

Authors: Albenque, Marie, Goldschmidt, Christina

Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Laboratoire d'Informatique de l'École Polytechnique, University of Oxford

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: McGill University, Agence Nationale de la Recherche, Engineering and Physical Sciences Research Council

Awards: G2141019035, G5193527146, Probability on Combinatorial Structures, G74633424, G8466749896, Processes of coalescence and fragmentation: phase transitions, scaling limits and self-organised criticality

OpenAlex ID: W2950822111

Cites: 15

Cited by:

Related to: 20