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LEADER: 02522nam a22004695a 4500
001 014131718-3
005 20140905185001.0
008 140715s2014 gw | s ||0| 0|eng d
020 $a9783662437391
020 $a9783662437391
020 $a9783662437384
024 7 $a10.1007/978-3-662-43739-1$2doi
035 $a(Springer)9783662437391
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 $aChen, Wei,$eauthor.
245 10 $aExplosive Percolation in Random Networks /$cby Wei Chen.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c2014.
300 $aXV, 63 p. 22 illus., 9 illus. in color.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
505 0 $aIntroduction -- Discontinuous Explosive Percolation with Multiple Giant Components -- Deriving An Underlying Mechanism for Discontinuous Percolation Transitions -- Continuous Phase Transitions in Supercritical Explosive Percolation -- Unstable Supercritical Discontinuous Percolation Transitions -- Algorithm of percolation models.
520 $aThis thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.
650 20 $aNumerical analysis.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 0 $aNumerical analysis.
650 24 $aProbability Theory and Stochastic Processes.
650 24 $aMathematical Applications in the Physical Sciences.
776 08 $iPrinted edition:$z9783662437384
830 0 $aSpringer Theses, Recognizing Outstanding Ph.D. Research.
988 $a20140802
906 $0VEN