LEADER 03442nam 22006735 450 001 9910299991303321 005 20200702115704.0 010 $a3-662-43739-2 024 7 $a10.1007/978-3-662-43739-1 035 $a(CKB)3710000000202685 035 $a(EBL)1783633 035 $a(OCoLC)889268931 035 $a(SSID)ssj0001296647 035 $a(PQKBManifestationID)11749367 035 $a(PQKBTitleCode)TC0001296647 035 $a(PQKBWorkID)11353811 035 $a(PQKB)10167941 035 $a(MiAaPQ)EBC1783633 035 $a(DE-He213)978-3-662-43739-1 035 $a(PPN)179927957 035 $a(EXLCZ)993710000000202685 100 $a20140715d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExplosive Percolation in Random Networks /$fby Wei Chen 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (75 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $aDescription based upon print version of record. 311 $a3-662-43738-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $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. 330 $aThis thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aProbabilities 606 $aNumerical analysis 606 $aMathematical physics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aProbabilities. 615 0$aNumerical analysis. 615 0$aMathematical physics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aNumerical Analysis. 615 24$aMathematical Applications in the Physical Sciences. 676 $a519.5 700 $aChen$b Wei$4aut$4http://id.loc.gov/vocabulary/relators/aut$0636150 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299991303321 996 $aExplosive percolation in random networks$91409973 997 $aUNINA