Special points of the Brownian net

Details Special points of the Brownian net Special points of the Brownian net

2008-06-13

arxiv.org/abs/0806.2326v2

Electron. J. Probab. 14 (2009) paper No. 30, 805-864.

Mathematics

Probability

In this revision the main improvements are in the presentation. Parts of the introduction have been rewritten and extended and

Scientific paper

The Brownian net, which has recently been introduced by Sun and Swart [SS08], and independently by Newman, Ravishankar and Schertzer [NRS08], generalizes the Brownian web by allowing branching. In this paper, we study the structure of the Brownian net in more detail. In particular, we give an almost sure classification of each point in $R^2$ according to the configuration of the Brownian net paths entering and leaving the point. Along the way, we establish various other structural properties of the Brownian net.

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