5 citations · 14 across the 6 of their papers we have counts for
7 papers
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…
Hurricane Simulation and Nonstationary Extremal Analysis for a Changing Climate
Meagan Carney, Holger Kantz, Matthew Nicol
Particularly important to hurricane risk assessment for coastal regions is finding accurate approximations of return probabilities of maximum windspeeds. Since extremes in maximum…
Sources and Sinks of Rare Trajectories in 2-Dimensional Velocity Fields Identified by Importance Sampling
Meagan Carney, Holger Kantz
We use importance sampling in a redefined way to highlight and investigate rare events in the form of trajectories trapped inside a target coherent set. We take a transfer operator…
Analysis and Simulation of Extremes and Rare Events in Complex Systems
Meagan Carney, Holger Kantz, Matthew Nicol
Rare weather and climate events, such as heat waves and floods, can bring tremendous social costs. Climate data is often limited in duration and spatial coverage, and climate forec…
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…
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…
Dynamical Borel-Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems
Meagan Carney, Matthew Nicol
We consider implications of dynamical Borel-Cantelli lemmas for rates of growth of Birkhoff sums of non-integrable observables , , on ergodic dynamical sys…