| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508 Sao Paulo - Brazil
[2] Univ Antioquia, Inst Matemat, Medellin - Colombia
[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21941 Rio De Janeiro - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ELECTRONIC JOURNAL OF PROBABILITY; v. 20, MAR 28 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider a variant of the radial spanning tree introduced by Baccelli and Bordenave. Like the original model, our model is a tree rooted at the origin, built on the realization of a planar Poisson point process. Unlike it, the paths of our model have independent jumps. We show that locally our diffusively rescaled tree, seen as the collection of the paths connecting its sites to the root, converges in distribution to the Brownian Bridge Web, which is roughly speaking a collection of coalescing Brownian bridges starting from all the points of a planar strip perpendicular to the time axis, and ending at the origin. (AU) | |
| FAPESP's process: | 09/52379-8 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |