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List of works by Gary Froyland

A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems

article

A critical comparison of Lagrangian methods for coherent structure detection

scientific article published on May 2017

A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data

scientific article

A semi-invertible Oseledets Theorem with applications to transfer operator cocycles

A strengthened formulation and cutting planes for the open pit mine production scheduling problem

article

A trajectory-free framework for analysing multiscale systems

Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion

article by Gary Froyland & Kathrin Padberg-Gehle published 2014 in Springer Proceedings in Mathematics & Statistics

Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows

article by Gary Froyland & Kathrin Padberg-Gehle published August 2009 in Physica D

An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems

Approximating physical invariant measures of mixing dynamical systems in higher dimensions

CONSTRUCTING INVARIANT MEASURES FROM DATA

CONTROLLERS FOR NONLINEAR SYSTEMS USING NORMAL FORMS

Cheeger inequalities for absorbing Markov chains

Clique-based facets for the precedence constrained knapsack problem

article by Natashia Boland et al published 23 January 2011 in Mathematical Programming

Coherent structures and isolated spectrum for Perron–Frobenius cocycles

Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study

article published in 2013

Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles

article

Detection of coherent oceanic structures via transfer operators

scientific article published on 30 May 2007

Determining the Minimum Embedding Dimensions of Input–Output Time Series Data

Dynamic isoperimetry and the geometry of Lagrangian coherent structures

Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension

scientific article published on 6 September 2007

Ergodic Theory, Open Dynamics, and Coherent Structures

article

Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

article

Estimating long-term behavior of periodically driven flows without trajectory integration

article

Estimating physical invariant measures and space averages of dynamical systems indicators

article

Estimating statistics of neuronal dynamics via Markov chains.

scientific article published in January 2001

Estimation of Lyapunov exponents of dynamical systems using a spatial average

scientific article published on 01 April 1995

Finite-time entropy: A probabilistic approach for measuring nonlinear stretching

Global Markov modelling and analysis of the dynamics of granular deformation and flow

How well-connected is the surface of the global ocean?

scientific article

Hölder continuity of Oseledets splittings for semi-invertible operator cocycles

Introduction to Focus Issue: Objective Detection of Coherent Structures

scientific article

LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity

article

Lagrangian dynamical geography of the Gulf of Mexico

scientific article

METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS

Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution

scientific article published on 21 March 2014

Minimum cardinality non-anticipativity constraint sets for multistage stochastic programming

On fast computation of finite-time coherent sets using radial basis functions

scientific article published on August 2015

On the Approximation of Transport Phenomena - a Dynamical Systems Approach

On the isolated spectrum of the Perron-Frobenius operator

Optimal Mixing Enhancement by Local Perturbation

Optimally coherent sets in geophysical flows: a transfer-operator approach to delimiting the stratospheric polar vortex

scientific article published on 12 November 2010

Optimizing the landside operation of a container terminal

Origin, dynamics and evolution of ocean garbage patches from observed surface drifters

article

RIGOROUS NUMERICAL ESTIMATION OF LYAPUNOV EXPONENTS AND INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS AND RANDOM MATRIX PRODUCTS

Rigorous computation of topological entropy with respect to a finite partition

Rigorous numerical approximation of Ruelle–Perron–Frobenius operators and topological pressure of expanding maps

Self-assembly in a near-frictionless granular material: conformational structures and transitions in uniaxial cyclic compression of hydrogel spheres

scientific article published on March 2015

Spectral degeneracy and escape dynamics for intermittent maps with a hole

Stability and approximation of invariant measures of Markov chains in random environments

Stability and approximation of random invariant densities for Lasota–Yorke map cocycles

article by Gary Froyland et al published 6 March 2014 in Nonlinearity

Statistically optimal almost-invariant sets

article by Gary Froyland published January 2005 in Physica D

Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets

scientific article

Three-dimensional characterization and tracking of an Agulhas Ring

scholarly article by Gary Froyland published in August 2012

Transition dynamics and magic-number-like behavior of frictional granular clusters

scientific article published on 30 July 2012

Transport in time-dependent dynamical systems: finite-time coherent sets

scientific article published on December 2010

Ulam's Method for Lasota--Yorke Maps with Holes

Ulam's method for random interval maps

Using Ulam's method to calculate entropy and other dynamical invariants