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Continuum percolation with steps in an annulus
Paul Balister, Bela Bollobas, Mark Walters

Citation
Paul Balister, Bela Bollobas, Mark Walters. "Continuum percolation with steps in an annulus". Annals of Applied Probability, 14(4):1869-1879, 2004.

Abstract
We prove some bounds on the critical probability for continuous percolation in the plane. The proof is in two parts. The first is a rigorous reduction of the problem to a finite problem. We then solve this finite problem using Monte-Carlo methods.

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Citation formats  
  • HTML
    Paul Balister, Bela Bollobas, Mark Walters. <a
    href="http://chess.eecs.berkeley.edu/pubs/719.html"
    >Continuum percolation with steps in an
    annulus</a>, <i>Annals of Applied
    Probability</i>, 14(4):1869-1879,  2004.
  • Plain text
    Paul Balister, Bela Bollobas, Mark Walters. "Continuum
    percolation with steps in an annulus". <i>Annals
    of Applied Probability</i>, 14(4):1869-1879,  2004.
  • BibTeX
    @article{BalisterBollobasWalters04_ContinuumPercolationWithStepsInAnnulus,
        author = {Paul Balister and Bela Bollobas and Mark Walters},
        title = {Continuum percolation with steps in an annulus},
        journal = {Annals of Applied Probability},
        volume = {14},
        number = {4},
        pages = {1869-1879},
        year = {2004},
        abstract = {We prove some bounds on the critical probability
                  for continuous percolation in the plane. The proof
                  is in two parts. The first is a rigorous reduction
                  of the problem to a finite problem. We then solve
                  this finite problem using Monte-Carlo methods.},
        URL = {http://chess.eecs.berkeley.edu/pubs/719.html}
    }
    

Posted by Christopher Brooks on 4 Nov 2010.
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