作者：(英)格里密特
页数：444
出版社：世界图书出版公司
出版日期：2012
ISBN：9787510046292
电子书格式：PDF
PDF下载地址
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.
本书特色
格里密特编著的《逾渗》内容介绍：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.
目录
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