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https://scholarbank.nus.edu.sg/handle/10635/104181
| Title: | Special points of the Brownian net | Authors: | Schertzer, E. Sun, R. Swart, J.M. |
Keywords: | Branching-coalescing point set Brownian net Brownian web |
Issue Date: | 7-Jan-2009 | Citation: | Schertzer, E.,Sun, R.,Swart, J.M. (2009-01-07). Special points of the Brownian net. Electronic Journal of Probability 14 : 805-864. ScholarBank@NUS Repository. | Abstract: | 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#p2##p 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. | Source Title: | Electronic Journal of Probability | URI: | http://scholarbank.nus.edu.sg/handle/10635/104181 | ISSN: | 10836489 |
| Appears in Collections: | Staff Publications |
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