Publications (30)
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…
Smooth Livsic regularity for piecewise expanding maps
Matthew Nicol, Tomas Persson
We consider the regularity of measurable solutions to the cohomological equation \[ Ï= Ï\circ T -Ï, \] where is a dynamical system and …
Convergence of Rare Events Point Processes to the Poisson for billiards
Jorge Milhazes Freitas, Nicolai Haydn, Matthew Nicol
We show that for planar dispersing billiards the return times distribution is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB measure. Since the Poincaré…
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…
Calculating the Midsagittal Plane for Symmetrical Bilateral Shapes: Applications to Clinical Facial Surgical Planning
Aarti Jajoo, Matthew Nicol, Jaime Gateno +6
It is difficult to estimate the midsagittal plane of human subjects with craniomaxillofacial (CMF) deformities. We have developed a LAndmark GEometric Routine (LAGER), which automa…
Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas
Mark Demers, Ian Melbourne, Matthew Nicol
In this paper, we show how the Gordin martingale approximation method fits into the anisotropic Banach space framework. In particular, for the time-one map of a finite horizon plan…