| Título: | Local Central Limit Theorems in Stochastic Geometry |
| Autores: |
Penrose, Mathew D.; University of Bath Peres, Yuval; Microsoft Research |
| Fecha: | 2011-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Local central limit theorem; stochastic geometry; percolation; random geometric graph; nearest neighbours 60F05, 60D05, 60K35, 05C80 |
| Descripción: | We give a general local central limit theorem for the sum of two independent random variables, one of which satisfies a central limit theorem while the other satisfies a local central limit theorem with the same order variance. We apply this result to various quantities arising in stochastic geometry, including: size of the largest component for percolation on a box; number of components, number of edges, or number of isolated points, for random geometric graphs; covered volume for germ-grain coverage models; number of accepted points for finite-input random sequential adsorption; sum of nearest-neighbour distances for a random sample from a continuous multidimensional distribution. |
| Idioma: | No aplica |
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