3 citations · 4 across the 6 of their papers we have counts for
6 papers
A tutorial on the dynamic Laplacian
Gary Froyland
Spectral techniques are popular and robust approaches to data analysis. A prominent example is the use of eigenvectors of a Laplacian, constructed from data affinities, to identify…
Optimal linear response for expanding circle maps
Gary Froyland, Stefano Galatolo
We consider the problem of optimal linear response for deterministic expanding maps of the circle. To each infinitesimal perturbation of a circle map we consider (i)…
A dynamic -Laplacian
Alvaro de Diego Unanue, Gary Froyland, Oliver Junge +1
We generalise the dynamic Laplacian introduced in (Froyland, 2015) to a dynamic -Laplacian, in analogy to the generalisation of the standard -Laplacian to the standard -La…
Revealing trends and persistent cycles of non-autonomous systems with operator-theoretic techniques: Applications to past and present climate dynamics
Gary Froyland, Dimitrios Giannakis, Edoardo Luna +1
An important problem in modern applied science is characterizing the behavior of systems with complex internal dynamics subjected to external forcings from their environment. While…
Bathymetry imposes a global pattern of cross-front transport in the Southern Ocean
Michael C Denes, Shane R Keating, Gary Froyland
The Southern Ocean plays an integral role in the global climate system, exchanging heat, salt, and carbon throughout the major ocean basins via the deep, fast-flowing Antarctic Cir…
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…