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Disaffected youth are among the most susceptible in espousing extremist ideals, as confirmed by demographic studies. We study age-dependent radicalization via a three-stage model where individuals progress through non-radical, activist, and radical states while also aging. Transitions are modeled as age-dependent interactions that are maximized for individuals of the same age and that are enhanced at early adulthood. For comparison, we also derive the age-independent formulation corresponding to our model. We find that age dependence enhances radicalization and leads to waves of radical behavior ebbing and flowing over generational cycles, realizing well-known sociological paradigms. While government intervention is most effective when the appropriate ages are targeted, whether preventive or corrective action is preferable depends on the aggressiveness of the radicalization process. [ABSTRACT FROM AUTHOR]

TheHindex, also known as Hirsch index, quantifies and compares the citation impact of scientific researchers. In the general context of networks, we define a node as a leader if itsHindex is not less than the average of theHindices of its neighbors. We show that in a randomly connected network, the proportion of leaders is almost always close to a half. [ABSTRACT FROM PUBLISHER]