Percolation and random media.

*(English)*Zbl 0661.60120
Critical phenomena, random systems, gauge theories, Proc. Summer Sch. Theor. Phys., Sess. 43, Les Houches/France 1984, Pt. 2, 1001-1142 (1986).

[For the entire collection see Zbl 0651.00019.]

This remarkable account of random media arose from a course given in Les Houches in 1984 by the authors. It reviews percolation theory, self- avoiding walk theory, transport networks, and related topics, seen through the eyes of mathematical physicists; it contains many small (and larger) pieces of personal insight, together with challenging accounts of areas worthy of future research.

These subjects have moved on considerably since the lectures were given. An up-to-date account of percolation for the mathematician may be found in the book by the reviewer, Percolation (1989), where much recent progress is documented.

This remarkable account of random media arose from a course given in Les Houches in 1984 by the authors. It reviews percolation theory, self- avoiding walk theory, transport networks, and related topics, seen through the eyes of mathematical physicists; it contains many small (and larger) pieces of personal insight, together with challenging accounts of areas worthy of future research.

These subjects have moved on considerably since the lectures were given. An up-to-date account of percolation for the mathematician may be found in the book by the reviewer, Percolation (1989), where much recent progress is documented.

Reviewer: G.Grimmett