221 citations · 1.5k across the 51 of their papers we have counts for
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Spectral degeneracy and escape dynamics for intermittent maps with a hole
Gary Froyland, Rua Murray, Ognjen Stancevic
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets. T…
Transport in time-dependent dynamical systems: Finite-time coherent sets
Gary Froyland, Naratip Santitissadeekorn, Adam Monahan
We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and r…
Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex
Naratip Santitissadeekorn, Gary Froyland, Adam Monahan
The "edge" of the Antarctic polar vortex is known to behave as a barrier to the meridional (poleward) transport of ozone during the austral winter. This chemical isolation of the p…
A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
Gary Froyland, Simon Lloyd, Anthony Quas
Oseledets' celebrated Multiplicative Ergodic Theorem (MET) is concerned with the exponential growth rates of vectors under the action of a linear cocycle on R^d. When the linear ac…