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逾渗-第2版 内容简介
this book is about the mathematics of percolation theory，with
the emphasis upon presenting the shortest rigorous proofs of the
main facts.i have made certain sacrifices in order to maximize the
accessibility of the theory，and the major one has been to restrict
myself almost entirely to the special case of bond percolation on
the cubic lattice zd.thus there is only little discussion of such
processes as continuum，mixed，inhomogeneous，long-range，
first-passage，and oriented percolation.nor have i spent much time
or space on the relationship of percolation to statistical
physics，infinite particle systems，disordered media，reliability
theory，and so on.with the exception of the two final chapters，i
have tried to stay reasonably close to core material of the sort
which most graduate students in the area might aspire to know.no
critical reader will agree entirely with my selection，and
physicists may sometimes feel that my intuition is crooked.
逾渗-第2版 目录
1 what is percolation？
1.1 modelling a random medium
1.2 why percolation？
1.3 bond percolation
1.4 the critical phenomenon
1.5 the main questions
1.6 site percolation
1.7 notes
2 some basic techniques
2.1 increasing events
2.2 the fkg inequality
2.3 the bk inequality
2.4 russo's formula
2.5 inequalities of reliability theory
2.6 another inequality
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