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Record ID harvard_bibliographic_metadata/ab.bib.13.20150123.full.mrc:957440767:2423
Source harvard_bibliographic_metadata
Download Link /show-records/harvard_bibliographic_metadata/ab.bib.13.20150123.full.mrc:957440767:2423?format=raw

LEADER: 02423nam a22004095a 4500
001 013841397-5
005 20131206202312.0
008 130221s1989 xxu| s ||0| 0|eng d
020 $a9781475742084
020 $a9781475742084
020 $a9781475742107
024 7 $a10.1007/978-1-4757-4208-4$2doi
035 $a(Springer)9781475742084
040 $aSpringer
050 4 $aQA273.A1-274.9
050 4 $aQA274-274.9
072 7 $aPBT$2bicssc
072 7 $aPBWL$2bicssc
072 7 $aMAT029000$2bisacsh
082 04 $a519.2$223
100 1 $aGrimmett, Geoffrey,$eauthor.
245 10 $aPercolation /$cby Geoffrey Grimmett.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c1989.
300 $aXI, 296 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
520 $aThe mathematical theory of percolation has acquired something of a reputation for inaccessibility. In addition, several recent advances of substance have tossed the historical order of discovery on its head. It is time to re-examine the subject afresh, in light of recent discoveries. This book does just that. It contains a definitive and coherent account of the subject, in an orderly way accessible to the non-specialist, including the shortest and neatest proofs currently known. In order to maximize accessibility, it concentrates on bond percolation on the d-dimensional cubic lattice where d>2. The subcritical and supercritical phases are described in considerable detail; the recent proofs of the uniqueness of critical points and the infinite open cluster are used extensively. There are two chapters devoted to a lucid account of the physical theory of scaling the renormalization in the context of percolation. There is a chapter dealing with the case of two dimensions, including a rather short proof of the famous exact calculation of + for the critical probability. The book terminates with a collection of pencil sketches of related areas of mathematics and physics.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 24 $aProbability Theory and Stochastic Processes.
650 24 $aTheoretical, Mathematical and Computational Physics.
776 08 $iPrinted edition:$z9781475742107
988 $a20131119
906 $0VEN