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math.DS2011★ 44 cited
Extreme value laws in dynamical systems under physical observables
Mark P. Holland, Renato Vitolo, Pau Rabassa +2
Extreme value theory for chaotic dynamical systems is a rapidly expanding area of research. Given a system and a real function (observable) defined on its phase space, extreme valu…
math.DS2011★ 714 cited
Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system
Peter Ashwin, Sebastian Wieczorek, Renato Vitolo +1
Tipping points associated with bifurcations (B-tipping) or induced by noise (N-tipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here…