+
|
Optimal linear response for expanding circle maps
|
2025
|
Gary Froyland
Stefano Galatolo
|
+
|
Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions
|
2024
|
Gary Froyland
Christopher P. Rock
|
+
PDF
Chat
|
Spectral clustering of time-evolving networks using the inflated dynamic
Laplacian for graphs
|
2024
|
Gary Froyland
Manu Kalia
PĂ©ter Koltai
|
+
PDF
Chat
|
A tutorial on the dynamic Laplacian
|
2024
|
Gary Froyland
|
+
PDF
Chat
|
Identifying the onset and decay of quasi-stationary families of
almost-invariant sets with an application to atmospheric blocking events
|
2024
|
Aleksandar Badza
Gary Froyland
|
+
PDF
Chat
|
An inflated dynamic Laplacian to track the emergence and disappearance
of semi-material coherent sets
|
2024
|
Jason Atnip
Gary Froyland
PĂ©ter Koltai
|
+
PDF
Chat
|
Detecting the birth and death of finiteâtime coherent sets
|
2023
|
Gary Froyland
PĂ©ter Koltai
|
+
PDF
Chat
|
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
|
2023
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
|
Bathymetry imposes a global pattern of cross-front transport in the Southern Ocean
|
2023
|
Michael C Denes
Shane R Keating
Gary Froyland
|
+
|
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
|
2023
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
|
Revealing trends and persistent cycles of non-autonomous systems with operator-theoretic techniques: Applications to past and present climate dynamics
|
2023
|
Gary Froyland
Dimitrios Giannakis
Edoardo Luna
Joanna SĆawiĆska
|
+
|
Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions
|
2023
|
Gary Froyland
Christopher P. Rock
|
+
|
A dynamic $p$-Laplacian
|
2023
|
Alvaro de Diego Unanue
Gary Froyland
Oliver Junge
PĂ©ter Koltai
|
+
|
Compound Poisson statistics for dynamical systems via spectral perturbation
|
2023
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
|
Optimal linear response for expanding circle maps
|
2023
|
Gary Froyland
Stefano Galatolo
|
+
PDF
Chat
|
Higher Cheeger Ratios of Features in Laplace-Beltrami Eigenfunctions
|
2023
|
Gary Froyland
Christopher P. Rock
|
+
|
Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products
|
2023
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
PDF
Chat
|
Equilibrium states for non-transitive random open and closed dynamical systems
|
2022
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Optimal Linear Response for Markov HilbertâSchmidt Integral Operators and Stochastic Dynamical Systems
|
2022
|
Fadi Antown
Gary Froyland
Stefano Galatolo
|
+
PDF
Chat
|
Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals
|
2022
|
WolfâJĂŒrgen Beyn
Gary Froyland
Thorsten HĂŒls
|
+
PDF
Chat
|
Persistence and material coherence of a mesoscale ocean eddy
|
2022
|
Michael C. Denes
Gary Froyland
Shane R. Keating
|
+
PDF
Chat
|
Deep Lagrangian Connectivity in the Global Ocean Inferred from Argo Floats
|
2022
|
Ryan Abernathey
Christopher Bladwell
Gary Froyland
Konstantinos Sakellariou
|
+
|
Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory
|
2022
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory
|
2022
|
Sandro Vaienti
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
|
+
|
Persistence and material coherence of a mesoscale ocean eddy
|
2021
|
Michael C. Denes
Gary Froyland
Shane R. Keating
|
+
PDF
Chat
|
Persistence and material coherence of a mesoscale ocean eddy
|
2021
|
Michael C. Denes
Gary Froyland
Shane R. Keating
|
+
PDF
Chat
|
Spectral analysis of climate dynamics with operator-theoretic approaches
|
2021
|
Gary Froyland
Dimitrios Giannakis
Benjamin R. Lintner
Maxwell Pike
Joanna SĆawiĆska
|
+
PDF
Chat
|
Thermodynamic Formalism for Random Weighted Covering Systems
|
2021
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Linear response for the dynamic Laplacian and finite-time coherent sets
|
2021
|
Fadi Antown
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
Optimal linear response for Markov Hilbert-Schmidt integral operators
and stochastic dynamical systems
|
2021
|
Fadi Antown
Gary Froyland
Stefano Galatolo
|
+
|
Thermodynamic Formalism for Random Interval Maps with Holes
|
2021
|
Jason Atnip
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
|
Detecting the birth and death of finite-time coherent sets
|
2021
|
Gary Froyland
PĂ©ter Koltai
|
+
|
Persistence and material coherence of a mesoscale ocean eddy
|
2021
|
Michael C. Denes
Gary Froyland
Shane R. Keating
|
+
|
Angular values of nonautonomous and random linear dynamical systems
|
2020
|
WolfâJĂŒrgen Beyn
Gary Froyland
Thorsten HĂŒls
|
+
PDF
Chat
|
Fourier approximation of the statistical properties of Anosov maps on tori
|
2020
|
Harry Crimmins
Gary Froyland
|
+
PDF
Chat
|
Higher-order finite element approximation of the dynamic Laplacian
|
2020
|
Nathanael Schilling
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration
|
2020
|
Gary Froyland
PĂ©ter Koltai
Martin Stahn
|
+
|
Angular values of nonautonomous and random linear dynamical systems: Part I -- Fundamentals
|
2020
|
WolfâJĂŒrgen Beyn
Gary Froyland
Thorsten HĂŒls
|
+
|
A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
|
2019
|
Davor DragiÄeviÄ
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Stability and Approximation of Statistical Limit Laws for Multidimensional Piecewise Expanding Maps
|
2019
|
Harry Crimmins
Gary Froyland
|
+
|
Higher-Order Finite Element Approximation of the Dynamic Laplacian
|
2019
|
Nathanael Schilling
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
Higher-Order Finite Element Approximation of the Dynamic Laplacian
|
2019
|
Nathanael Schilling
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
Sparse eigenbasis approximation: Multiple feature extraction across spatiotemporal scales with application to coherent set identification
|
2019
|
Gary Froyland
Christopher P. Rock
Konstantinos Sakellariou
|
+
|
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration
|
2019
|
Gary Froyland
PĂ©ter Koltai
Martin Stahn
|
+
|
Linear response for the dynamic Laplacian and finite-time coherent sets
|
2019
|
Fadi Antown
Gary Froyland
Oliver Junge
|
+
|
Higher-Order Finite Element Approximation of the Dynamic Laplacian
|
2019
|
Nathanael Schilling
Gary Froyland
Oliver Junge
|
+
|
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration
|
2019
|
Gary Froyland
PĂ©ter Koltai
Martin Stahn
|
+
PDF
Chat
|
Lagrangian Geography of the Deep Gulf of Mexico
|
2018
|
Philippe Miron
F. J. BeronâVera
M. J. Olascoaga
Gary Froyland
Paula PĂ©rezâBrunius
Julio Sheinbaum
|
+
|
Hilbert space Lyapunov exponent stability
|
2018
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
PDF
Chat
|
Almost sure invariance principle for random piecewise expanding maps
|
2018
|
Davor DragiÄeviÄ
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems
|
2018
|
Fadi Antown
Davor DragiÄeviÄ
Gary Froyland
|
+
|
Quenched stochastic stability for eventually expanding-on-average random interval map cocycles
|
2018
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Rua Murray
|
+
PDF
Chat
|
A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems
|
2018
|
Davor DragiÄeviÄ
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
|
A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
|
2018
|
Davor DragiÄeviÄ
Gary Froyland
Cecilia GonzĂĄlezâTokman
Sandro Vaienti
|
+
PDF
Chat
|
Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories
|
2018
|
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
Lagrangian dynamical geography of the Gulf of Mexico
|
2017
|
Philippe Miron
F. J. BeronâVera
M. J. Olascoaga
Julio Sheinbaum
Paula PĂ©rezâBrunius
Gary Froyland
|
+
PDF
Chat
|
A Dynamic Laplacian for Identifying Lagrangian Coherent Structures on Weighted Riemannian Manifolds
|
2017
|
Gary Froyland
Eric Kwok
|
+
|
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories
|
2017
|
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
A critical comparison of Lagrangian methods for coherent structure detection
|
2017
|
Alireza Hadjighasem
Mohammad Farazmand
Daniel Blazevski
Gary Froyland
George Haller
|
+
PDF
Chat
|
Estimating long-term behavior of periodically driven flows without trajectory integration
|
2017
|
Gary Froyland
PĂ©ter Koltai
|
+
|
Dynamical geography of the Gulf of Mexico
|
2017
|
Philippe Miron
F. J. BeronâVera
M. J. Olascoaga
Julio Sheinbaum
Paula PĂ©rezâBrunius
Gary Froyland
|
+
|
Hilbert Space Lyapunov Exponent stability
|
2017
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
PDF
Chat
|
Optimal Mixing Enhancement
|
2017
|
Gary Froyland
Naratip Santitissadeekorn
|
+
|
Lagrangian dynamical geography of the Gulf of Mexico
|
2017
|
Philippe Miron
F. J. BeronâVera
M. J. Olascoaga
Julio Sheinbaum
Paula PĂ©rezâBrunius
Gary Froyland
|
+
|
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories
|
2017
|
Gary Froyland
Oliver Junge
|
+
|
Hilbert Space Lyapunov Exponent stability
|
2017
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
|
Optimal mixing enhancement
|
2016
|
Gary Froyland
Naratip Santitissadeekorn
|
+
PDF
Chat
|
Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
|
2016
|
Davor DragiÄeviÄ
Gary Froyland
|
+
|
Cheeger inequalities for absorbing Markov chains
|
2016
|
Gary Froyland
Robyn M. Stuart
|
+
PDF
Chat
|
A trajectory-free framework for analysing multiscale systems
|
2016
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
|
Optimal Mixing Enhancement by Local Perturbation
|
2016
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Thomas M. Watson
|
+
|
Optimal mixing enhancement
|
2016
|
Gary Froyland
Naratip Santitissadeekorn
|
+
PDF
Chat
|
Dynamic isoperimetry and the geometry of Lagrangian coherent structures
|
2015
|
Gary Froyland
|
+
PDF
Chat
|
On fast computation of finite-time coherent sets using radial basis functions
|
2015
|
Gary Froyland
Oliver Junge
|
+
PDF
Chat
|
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
|
2015
|
Gary Froyland
Kathrin PadbergâGehle
|
+
|
Stability and approximation of invariant measures of Markov chains in random environments
|
2015
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
|
+
|
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
|
2015
|
Gary Froyland
Kathrin PadbergâGehle
|
+
PDF
Chat
|
Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semiâinvertible Matrix Cocycles
|
2015
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
PDF
Chat
|
Partitions of networks that are robust to vertex permutation dynamics
|
2015
|
Gary Froyland
Eric Kwok
|
+
|
Oseledets splittings for semi-invertible linear cocycles: Existence, stability, and applications
|
2015
|
Gary Froyland
|
+
|
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
|
2015
|
Gary Froyland
Kathrin PadbergâGehle
|
+
|
A trajectory-free framework for analysing multiscale systems
|
2014
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
PDF
Chat
|
Stability and approximation of random invariant densities for LasotaâYorke map cocycles
|
2014
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
|
Ergodic Theory, Open Dynamics, and Coherent Structures
|
2014
|
Wael Bahsoun
Christopher Bose
Gary Froyland
|
+
PDF
Chat
|
A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems
|
2014
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
PDF
Chat
|
Ulam's Method for Lasota--Yorke Maps with Holes
|
2014
|
Christopher Bose
Gary Froyland
Cecilia GonzĂĄlezâTokman
Rua Murray
|
+
|
A closing scheme for finding almost-invariant sets in open dynamical systems
|
2014
|
Gary Froyland
P. K. Pollett
Robyn M. Stuart
|
+
PDF
Chat
|
Absolute flux optimising curves of flows on a surface
|
2014
|
Sanjeeva Balasuriya
Gary Froyland
Naratip Santitissadeekorn
|
+
|
A trajectory-free framework for analysing multiscale systems
|
2014
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
|
A computational method to extract macroscopic variables and their dynamics in multiscale systems
|
2013
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
|
Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
|
2013
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
|
Absolute flux optimising curves of flows on a surface
|
2013
|
Sanjeeva Balasuriya
Gary Froyland
Naratip Santitissadeekorn
|
+
PDF
Chat
|
An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
|
2013
|
Gary Froyland
|
+
PDF
Chat
|
METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
|
2013
|
Gary Froyland
Ognjen Stancevic
|
+
PDF
Chat
|
Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
|
2013
|
Gary Froyland
Oliver Junge
PĂ©ter Koltai
|
+
|
A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
|
2013
|
Gary Froyland
S. P. Lloyd
Anthony Quas
|
+
|
Cheeger inequalities for transient Markov chains
|
2013
|
Gary Froyland
Robyn M. Stuart
|
+
|
A computational method to extract macroscopic variables and their dynamics in multiscale systems
|
2013
|
Gary Froyland
Georg A. Gottwald
Andy Hammerlindl
|
+
|
Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
|
2013
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
PDF
Chat
|
Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study
|
2012
|
Gary Froyland
Thorsten HĂŒls
Gary P. Morriss
Thomas M. Watson
|
+
|
Stability and approximation of random invariant densities for Lasota-Yorke map cocycles
|
2012
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
|
Ulam's method for Lasota-Yorke maps with holes
|
2012
|
Christopher Bose
Gary Froyland
Cecilia GonzĂĄlezâTokman
Rua Murray
|
+
|
Open Dynamical Systems: Ergodic Theory, Probabilistic Methods and Applications
|
2012
|
Wael Bahsoun
Gary Froyland
|
+
|
Stability and approximation of random invariant densities for Lasota-Yorke map cocycles
|
2012
|
Gary Froyland
Cecilia GonzĂĄlezâTokman
Anthony Quas
|
+
|
Ulam's method for Lasota-Yorke maps with holes
|
2012
|
Christopher Bose
Gary Froyland
Cecilia GonzĂĄlezâTokman
Rua Murray
|
+
PDF
Chat
|
Spectral degeneracy and escape dynamics for intermittent maps with a hole
|
2011
|
Gary Froyland
Rua Murray
Ognjen Stancevic
|
+
|
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems
|
2011
|
Gary Froyland
Ognjen Stancevic
|
+
|
On quantifying the space of uncertainty of stochastic simulations
|
2011
|
Gary Froyland
|
+
|
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems
|
2011
|
Gary Froyland
Ognjen Stancevic
|
+
PDF
Chat
|
Optimally coherent sets in geophysical flows: A transfer-operator approach to delimiting the stratospheric polar vortex
|
2010
|
Naratip Santitissadeekorn
Gary Froyland
Adam H. Monahan
|
+
PDF
Chat
|
Transport in time-dependent dynamical systems: Finite-time coherent sets
|
2010
|
Gary Froyland
Naratip Santitissadeekorn
Adam H. Monahan
|
+
PDF
Chat
|
Coherent sets for nonautonomous dynamical systems
|
2010
|
Gary Froyland
S. P. Lloyd
Naratip Santitissadeekorn
|
+
|
A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
|
2010
|
Gary Froyland
S. P. Lloyd
Anthony Quas
|
+
PDF
Chat
|
Escape rates and Perron-Frobenius operators: Open and closed dynamical systems
|
2010
|
Gary Froyland
Ognjen Stancevic
|
+
|
A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
|
2010
|
Gary Froyland
Simon Lloyd
Anthony Quas
|
+
PDF
Chat
|
Coherent structures and isolated spectrum for PerronâFrobenius cocycles
|
2009
|
Gary Froyland
S. P. Lloyd
Anthony Quas
|
+
|
Almost-invariant sets and invariant manifolds â Connecting probabilistic and geometric descriptions of coherent structures in flows
|
2009
|
Gary Froyland
Kathrin PadbergâGehle
|
+
|
Rigorous numerical approximation of RuelleâPerronâFrobenius operators and topological pressure of expanding maps
|
2008
|
Dalia Terhesiu
Gary Froyland
|
+
|
Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps
|
2007
|
Gary Froyland
|
+
|
Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension
|
2007
|
Gary Froyland
Rua Murray
Dalia Terhesiu
|
+
PDF
Chat
|
On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps
|
2007
|
Gary Froyland
|
+
|
Statistically optimal almost-invariant sets
|
2005
|
Gary Froyland
|
+
|
Rigorous computation of topological entropy with respect to a finite partition
|
2001
|
Gary Froyland
Oliver Junge
Gunter Ochs
|
+
|
Extracting Dynamical Behavior via Markov Models
|
2001
|
Gary Froyland
|
+
|
Chapter 12 Extracting Dynamical Behavior via Markov Models
|
2001
|
Gary Froyland
|
+
|
A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator
|
2000
|
Michael Dellnitz
Gary Froyland
Stefan Sertl
|
+
PDF
Chat
|
On the isolated spectrum of the Perron-Frobenius operator
|
2000
|
Michael Dellnitz
Gary Froyland
Stefan Sertl
|
+
|
RIGOROUS NUMERICAL ESTIMATION OF LYAPUNOV EXPONENTS AND INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS AND RANDOM MATRIX PRODUCTS
|
2000
|
Gary Froyland
Kazuyuki Aihara
|
+
|
Ulam's method for random interval maps
|
1999
|
Gary Froyland
|
+
|
Using Ulam's method to calculate entropy and other dynamical invariants
|
1999
|
Gary Froyland
|
+
PDF
Chat
|
Determining the Minimum Embedding Dimensions of InputâOutput Time Series Data
|
1998
|
Liangyue Cao
Alistair Mees
Kevin Judd
Gary Froyland
|
+
|
Approximating physical invariant measures of mixing dynamical systems in higher dimensions
|
1998
|
Gary Froyland
|
+
|
Computer-Assisted Bounds for the Rate of Decay of Correlations
|
1997
|
Gary Froyland
|