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20082024
most citedA Critical Comparison of Lagrangian Methods for Coherent Structure Detection

221 citations · 1.5k across the 51 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.DS2018

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems

D. Dragičević, G. Froyland, C. González-Tokman +1

We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to quenched random piecewise…

math.NA2018★ 49 cited

Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification

Gary Froyland, Christopher P. Rock, Konstantinos Sakellariou

The output of spectral clustering is a collection of eigenvalues and eigenvectors that encode important connectivity information about a graph or a manifold. This connectivity info…

math.DS2018★ 2 cited

Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps

Harry Crimmins, Gary Froyland

The unpredictability of chaotic nonlinear dynamics leads naturally to statistical descriptions, including probabilistic limit laws such as the central limit theorem and large devia…

physics.ao-ph2018★ 23 cited

Lagrangian geography of the deep Gulf of Mexico

P Miron, F Beron-Vera, M Olascoaga +3

Using trajectories from acoustically tracked (RAFOS) floats in the Gulf of Mexico, we construct a geography of its Lagrangian circulation within the 1500--2500-m layer. This is don…

math.DS2018★ 18 cited

Optimal linear responses for Markov chains and stochastically perturbed dynamical systems

Fadi Antown, Davor Dragičević, Gary Froyland

The linear response of a dynamical system refers to changes to properties of the system when small external perturbations are applied. We consider the little-studied question of se…