โ Scribed by Lucarini Valerio et al.
No coin nor oath required. For personal study only.
Content: A framework for rare events in stochastic processes and dynamical systems --
Classical extreme value theory --
Emergence of extreme value laws for dynamical systems --
Hitting and return time statistics --
Extreme value theory for selected dynamical systems --
Extreme value theory for randomly perturbed dynamical systems --
A statistical mechanical point of view --
Extremes as dynamical and geometrical indicators --
Extremes as physical probes --
Conclusions --
Appendix A: Codes.
Chaotic behavior in systems.;Stochastic processes.;Probabilities.;Extreme value theory.;Dynamics.
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