3 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2015★ 1 cited
Almost sure convergence of maxima for chaotic dynamical systems
M. P. Holland, M. Nicol, A. Török
Suppose is a measure preserving dynamical system and is an observable with some degree of regularity. We investigate the maximum pr…
math.DS2014★ 3 cited
Almost sure invariance principle for sequential and non-stationary dynamical systems
N. Haydn, M. Nicol, A. Tôrôk +1
We establish almost sure invariance principles, a strong form of approximation by Brownian motion, for non-stationary time-series arising as observations on dynamical systems. Our…
math.DS2014★ 3 cited
Polynomial loss of memory for maps of the interval with a neutral fixed point
R. Aimino, H. Hu, M. Nicol +2
We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for th…