Conformal invariance in two-dimensional percolation

摘要: The word percolation, borrowed from the Latin, refers to seeping or oozing of a liquid through porous medium, usually be strained. In this and related senses it has been in use since seventeenth century. It was introduced more recently into mathematics by S. R. Broadbent J. M. Hammersley ([BH]) is branch probability theory that especially close statistical mechanics. distinguish between two types spreading fluid aspects probabilistic models such processes: diffusion processes, which random mechanism ascribed fluid; percolation medium. A process typically depends on one parameters. For example, if molecules gas are absorbed at surface solid (as mask) then their ability penetrate sizes pores positions, both conceived distributed some manner. simple mathematical model often defined taking regular manner (that could determined periodic graph), open (thus very large) closed smaller than molecules) with probabilities p 1 − p. As increases deeper penetration interior grows.