Work

The Brownian net

Year: 2008

Type: article

Abstract: The (standard) Brownian web is a collection of coalescing one- dimensional Brownian motions, starting from each point in space and time. It arises as the diffusive scaling limit of a collection of coalescing random walks. We show that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability. We call the limiting object the Brownian net, and study some of its elementary properties.

Source: The Annals of Probability

DOI: 10.1214/07-aop357

Authors: Rongfeng Sun, Jan M. Swart

Institution: Technische Universität Berlin

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: European Science Foundation, Deutsche Forschungsgemeinschaft, Grantová Agentura České Republiky

Award: Probabilistic methods in the study of phase transitions of complex systems