191 citations · 276 across the 12 of their papers we have counts for
14 papers
On distributional limit laws for recurrence
Mark Holland, Mike Todd
For a probability measure preserving dynamical system , the Poincaré Recurrence Theorem asserts that -almost every orbit is recurrent with respect to its init…
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…
Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes
Mark Holland, Maxim Kirsebom, Philipp Kunde +1
Suppose is a measure preserving dynamical system and a measurable function. Consider the maximum process $M_n:=\max\{X_1 \l…
Limit theorems for wobbly interval intermittent maps
Douglas Coates, Mark Holland, Dalia Terhesiu
We consider perturbations of interval maps with indifferent fixed points, which we refer to as wobbly interval intermittent maps, for which stable laws for general Hölder observabl…
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…
Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables
Stefano Galatolo, Mark Holland, Tomas Persson +1
We establish quantitative results for the statistical be\-ha\-vi\-our of \emph{infinite systems}. We consider two kinds of infinite system: i) a conservative dynamical system $(f,X…