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https://hdl.handle.net/10495/39818| Título : | Scaling limit of the radial Poissonian web |
| Autor : | Valencia Henao, Leon Alexander Fontes, Luiz Renato Valle, Glauco |
| metadata.dc.subject.*: | Brownian bridges (Mathematics) Puentes brownianos (Matemáticas) Procesos de Poisson Poisson processes http://id.loc.gov/authorities/subjects/sh92001913 http://id.loc.gov/authorities/subjects/sh85103958 |
| Fecha de publicación : | 2015 |
| Editorial : | Institute of Mathematical Statistics Bernoulli Society for Mathematical Statistics and Probability |
| Resumen : | 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. |
| ISSN : | 1083-6489 |
| metadata.dc.identifier.doi: | 10.1214/EJP.v20-3395 |
| Aparece en las colecciones: | Artículos de Revista en Ciencias Exactas y Naturales |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| ValenciaLeón_2015_ScalingLimitRadial.pdf | Artículo de investigación | 487.81 kB | Adobe PDF | Visualizar/Abrir |
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