Broadbent/Hammersley: Self-avoiding Walk

“The fluid will be able to flow from one point to another if and only if there is a connexion without dams between them, and this will be so if and only if there is an undammed self-avoiding walk connecting them (i.e. a walk which visits no intermediate point more than once). It is, therefore, appropriate to study the self-avoiding walks in crystals.” (p. 631) #Broadbent #Hammersley #Self-avoidingWalk

Broadbent, Simon R./Hammersley, John M., Percolation processes. I. Crystals and Mazes, in: Mathematical Proceedings of the Cambridge Philosophical Society 53 (1957), 629–641.