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math.DS2023
Runs of Extremes of Observables on Dynamical Systems and Applications
Meagan Carney, Mark Holland, Matthew Nicol +1
We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical sys…
math.DS2019
Extremes and extremal indices for level set observables on hyperbolic systems
Meagan Carney, Mark Holland, Matthew Nicol
Consider an ergodic measure preserving dynamical system , and an observable . For the time series , we establish limit laws for the m…
math.DS2017★ 5 cited
Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems
Meagan Carney, Matthew Nicol, Hong-Kun Zhang
We show that a compound Poisson distribution holds for scaled exceedances of observables uniquely maximized at a periodic point in a variety of two-dimensional hyperbolic d…