Coupling threshold for extreme events in networked systems shows a power-law dependence on edge density and algebraic connectivity that holds across systems and extreme-event mechanisms.
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A superposition of heterogeneous exponential-decay spin processes yields the observed algebraic (long-memory) decline of benthic algae, and adding reversible spin processes gives a unified micro-macro population model with well-posedness and tipping applications.
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Complex network topological and spectral determinants of extreme events
Coupling threshold for extreme events in networked systems shows a power-law dependence on edge density and algebraic connectivity that holds across systems and extreme-event mechanisms.