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  1. Home > Articles & Issues >
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  3. Percolation on a non ...
Conference paper

Percolation on a non-homogeneous Poisson blob process

Fabio P. Machado (1) (2)
(1) Instituto de Matemática e Estatística
(2) Instituto de Matemática, Estatística e Ciência da Computação [Universidade de São Paulo]
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Imported on
May 10, 2017
Published on
December 31, 2002
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Proceedings
DOI
10.46298/dmtcs.3336
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https://about.hal.science/hal-authorisation-v1
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Percolation on a non-homogeneous Poisson blob process

Fabio P. Machado (1) (2)
(1) Instituto de Matemática e Estatística
(2) Instituto de Matemática, Estatística e Ciência da Computação [Universidade de São Paulo]
Abstract
We present the main results of a study for the existence of vacant and occupied unbounded connected components in a non-homogeneous Poisson blob process. The method used in the proofs is a multi-scale percolation comparison.
Keywords
  • [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]
  • Poisson blob model
  • continuum percolation
  • phase transition
  • multi-scale percolation
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