03442nam 22006735 450 991029999130332120200702115704.03-662-43739-210.1007/978-3-662-43739-1(CKB)3710000000202685(EBL)1783633(OCoLC)889268931(SSID)ssj0001296647(PQKBManifestationID)11749367(PQKBTitleCode)TC0001296647(PQKBWorkID)11353811(PQKB)10167941(MiAaPQ)EBC1783633(DE-He213)978-3-662-43739-1(PPN)179927957(EXLCZ)99371000000020268520140715d2014 u| 0engur|n|---|||||txtccrExplosive Percolation in Random Networks /by Wei Chen1st ed. 2014.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2014.1 online resource (75 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.3-662-43738-4 Includes bibliographical references at the end of each chapters and index.Introduction -- 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.This 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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053ProbabilitiesNumerical analysisMathematical physicsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Probabilities.Numerical analysis.Mathematical physics.Probability Theory and Stochastic Processes.Numerical Analysis.Mathematical Applications in the Physical Sciences.519.5Chen Weiauthttp://id.loc.gov/vocabulary/relators/aut636150MiAaPQMiAaPQMiAaPQBOOK9910299991303321Explosive percolation in random networks1409973UNINA