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.

Electronic downloads

• http://projecteuclid.org/euclid.aoap/1099674081

• 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.
For additional information, see the Publications FAQ or contact webmaster at chess eecs berkeley edu.