Schlagwort-Archive: Chen

Chen: Networks and graphs

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“Networks, or graphs (a collection of nodes with edges connecting them), have long been studied in a prolific branch of mathematics known as “graph theory” and are often used by scientists to model the structure of many complex systems, ranging from technological systems and biological systems to social systems and economic systems. Human beings are surrounded by a variety of different types of networks.” (p. 1) #Chen #Network #graph #mathematics #structure #system

Chen, Wei, Explosive Percolation in Random Networks. Berlin/Heidelberg: Springer 2014. 63 S.

Chen: Phase Transition

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„One of the most fundamental characteristics of a phase transition is its order, i.e., whether the macroscopic quantity it affects changes continuously or discontinuously at the transition point. Continuous transitions are called ’second-order‘ and include many magnetization phenomena, whereas discontinuous transitions are called ‚first-order,‘ an example of which is the discontinuous drop in entropy when liquid water turns into solid ice at zero degrees.“ (p. 3) #Chen #PhaseTransition

Chen, Wei, Explosive Percolation in Random Networks. Berlin/Heidelberg: Springer 2014. 63 S.