Skip to main content Accesibility Help

Percolation processes: I. Crystals and mazes

  • S. R. Broadbent (a1) and J. M. Hammersley (a2)

The paper studies, in a general way, how the random properties of a ‘medium’ influence the percolation of a ‘fluid’ through it. The treatment diifers from conventional diffusion theory, in which it is the random properties of the fluid that matter. Fluid and medium bear general interpretations: for example, solute diffusing through solvent, electrons migrating over an atomic lattice, molecules penetrating a porous solid, disease infecting a community, etc.

Hide All
(1)Good, I. J.The number of individuals in a cascade process. Proc. Camb. Phil. Soc. 45 (1949), 360–3.
(2)Hammersley, J. M.Markovian walks on crystals. Compos. math. 11 (1954), 171–86.
(3)Hammersley, J. M. and Morton, K. W.Poor man's Monte Carlo. J.R. Statist. Soc. B, 16 (1954), 2338.
(4)Hammersley, J. M.Percolation processes. II. The connective constant. Proc. Camb. Phil. Soc. 53 (1957), 642–5.
(5)Hammersley, J. M.Percolation processes. IV. Lower bounds for the critical probability. Ann. math. Statist (in the press).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed