191 citations · 491 across the 26 of their papers we have counts for
22 papers · 1 filter
Stable laws for random dynamical systems
Romain Aimino, Matthew Nicol, Andrew Török
In this paper we consider random dynamical systems formed by concatenating maps acting on the unit interval in an iid fashion. Considered as a stationary Markov process, th…
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…
Erdos-Renyi laws for exponentially and polynomially mixing dynamical systems
Nicolai Haydn, Matthew Nicol
Erdos-Renyi limit laws give the length scale of a time-window over which time-averages in Birkhoff sums have a non-trivial almost-sure limit. We establish Erdos-Renyi type limit la…
Large deviations and central limit theorems for sequential and random systems of intermittent maps
Matthew Nicol, Felipe Perez Pereira, Andrew Torok
We obtain large deviations estimates for both sequential and random compositions of intermittent maps. We also address the question of whether or not centering is necessary for the…
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…
A note on large deviations for unbounded observables
Andrew Torok, Matthew Nicol
We consider exponential large deviations estimates for unbounded observables on uniformly expanding dynamical systems. We show that uniform expansion does not imply the existence o…