By Professor Gary Froyland

Books

Junge O; Schütze O; Froyland G; Ober-Blöbaum S; Padberg-Gehle K, 2020, Preface

Book Chapters

Klünker A; Schneide C; Froyland G; Schumacher J; Padberg-Gehle K, 2020, 'Set-oriented and finite-element study of coherent behavior in Rayleigh-Bénard convection', in Studies in Systems, Decision and Control, pp. 86 - 108, http://dx.doi.org/10.1007/978-3-030-51264-4_4

Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse PHL, 2018, 'Blasor-Blended iron ore mine planning optimisation at Yandi, Western Australia', in Advances in Applied Strategic Mine Planning, pp. 39 - 46, http://dx.doi.org/10.1007/978-3-319-69320-0_4

Menabde M; Froyland G; Stone P; Yeates GA, 2018, 'Mining schedule optimisation for conditionally simulated orebodies', in Advances in Applied Strategic Mine Planning, pp. 91 - 100, http://dx.doi.org/10.1007/978-3-319-69320-0_8

Froyland G; Menabde M; Stone P; Hodson D, 2018, 'The value of additional drilling to open pit mining projects', in Advances in Applied Strategic Mine Planning, pp. 119 - 138, http://dx.doi.org/10.1007/978-3-319-69320-0_10

Froyland G; Padberg-Gehle K, 2014, 'Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion', in Bahsoun W; Bose C; Froyland G (ed.), Ergodic Theory, Open Dynamics, and Coherent Structures, Springer, New York, pp. 171 - 216, http://dx.doi.org/10.1007/978-1-4939-0419-8_9

Froyland G; Padberg-Gehle K, 2014, 'Chapter 9 Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion', in Bahsoun W; Bose C; Froyland G (ed.), , SPRINGER, pp. 171 - 216, http://dx.doi.org/10.1007/978-1-4939-0419-8__9

Froyland G, 2001, 'Extracting dynamical behavior via Markov models', in Mees AI (ed.), Nonlinear Dynamics and Statistics, Springer Science & Business Media, pp. 281 - 316

Dellnitz M; Froyland G; Junge O, 2001, 'The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems', in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Springer, pp. 145 - 174

Edited Books

Bahsoun W; Bose C; Froyland G, (eds.), 2014, Preface for Ergodic Theory, Open Dynamics, and Coherent Structures, http://dx.doi.org/10.1007/978-1-4939-0419-8

Journal articles

Froyland G; Rock CP, 2025, 'Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions', Applied and Computational Harmonic Analysis, 74, http://dx.doi.org/10.1016/j.acha.2024.101710

Froyland G; Giannakis D; Luna E; Slawinska J, 2024, 'Revealing trends and persistent cycles of non-autonomous systems with autonomous operator-theoretic techniques', Nature Communications, 15, http://dx.doi.org/10.1038/s41467-024-48033-6

Froyland G; Koltai P, 2023, 'Detecting the birth and death of finite-time coherent sets', Communications on Pure and Applied Mathematics, 76, pp. 3642 - 3684, http://dx.doi.org/10.1002/cpa.22115

Atnip J; Froyland G; González-Tokman C; Vaienti S, 2023, 'Equilibrium states for non-transitive random open and closed dynamical systems', Ergodic Theory and Dynamical Systems, 43, pp. 3193 - 3215, http://dx.doi.org/10.1017/etds.2022.68

Antown F; Froyland G; Galatolo S, 2022, 'Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems', Journal of Nonlinear Science, 32, http://dx.doi.org/10.1007/s00332-022-09839-0

Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2022, 'Deep Lagrangian Connectivity in the Global Ocean Inferred from Argo Floats', Journal of Physical Oceanography, 52, pp. 951 - 963, http://dx.doi.org/10.1175/JPO-D-21-0156.1

Denes MC; Froyland G; Keating SR, 2022, 'Persistence and material coherence of a mesoscale ocean eddy', Physical Review Fluids, 7, http://dx.doi.org/10.1103/PhysRevFluids.7.034501

Beyn WJ; Froyland G; Hüls T, 2022, 'Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I—Fundamentals', SIAM Journal on Applied Dynamical Systems, 21, pp. 1245 - 1286, http://dx.doi.org/10.1137/20M1387730

Froyland G; Giannakis D; Lintner BR; Pike M; Slawinska J, 2021, 'Spectral analysis of climate dynamics with operator-theoretic approaches', Nature Communications, 12, http://dx.doi.org/10.1038/s41467-021-26357-x

Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Thermodynamic Formalism for Random Weighted Covering Systems', Communications in Mathematical Physics, 386, pp. 819 - 902, http://dx.doi.org/10.1007/s00220-021-04156-1

Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2021, 'Deep Lagrangian connectivity in the global ocean inferred from Argo floats', , http://dx.doi.org/10.1175/JPO-D-21-0156.1

Antown F; Froyland G; Junge O, 2021, 'Linear response for the dynamic Laplacian and finite-time coherent sets', Nonlinearity, 34, pp. 3337 - 3355, http://dx.doi.org/10.1088/1361-6544/abe834

Froyland G; Koltai P, 2021, 'Detecting the birth and death of finite-time coherent sets', Communications on Pure and Applied Mathematics 76(12): 3642--3684, 2023, http://dx.doi.org/10.1002/cpa.22115

Antown F; Froyland G; Galatolo S, 2021, 'Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems', , http://dx.doi.org/10.1007/s00332-022-09839-0

Beyn W-J; Froyland G; Hüls T, 2020, 'Angular values of nonautonomous and random linear dynamical systems: Part I -- Fundamentals', , http://dx.doi.org/10.1137/20M1387730

Crimmins H; Froyland G, 2020, 'Fourier approximation of the statistical properties of Anosov maps on tori', Nonlinearity, 33, pp. 6244 - 6296, http://dx.doi.org/10.1088/1361-6544/ab987e

Froyland G; Kwok E, 2020, 'A Dynamic Laplacian for Identifying Lagrangian Coherent Structures on Weighted Riemannian Manifolds', Journal of Nonlinear Science, 30, pp. 1889 - 1971, http://dx.doi.org/10.1007/s00332-017-9397-y

Schilling N; Froyland G; Junge O, 2020, 'Higher-order finite element approximation of the dynamic Laplacian', ESAIM: Mathematical Modelling and Numerical Analysis, 54, pp. 1777 - 1795, http://dx.doi.org/10.1051/m2an/2020027

Dunbar M; O'Brien R; Froyland G, 2020, 'Optimising lung imaging for cancer radiation therapy', EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 282, pp. 1038 - 1052, http://dx.doi.org/10.1016/j.ejor.2019.10.020

Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2020, 'A spectral approach for quenched limit theorems for random hyperbolic dynamical systems', Transactions of the American Mathematical Society, 373, pp. 629 - 664, http://dx.doi.org/10.1090/tran/7943

Froyland G; Koltai P; Stahn M, 2020, 'Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration', SIAM Journal on Applied Dynamical Systems, 19, pp. 1659 - 1700, http://dx.doi.org/10.1137/19M1261791

Froyland G; González-Tokman C; Murray RUA, 2019, 'Quenched stochastic stability for eventually expanding-on-average random interval map cocycles', Ergodic Theory and Dynamical Systems, 39, pp. 2769 - 2792, http://dx.doi.org/10.1017/etds.2017.143

Froyland G; Rock CP; Sakellariou K, 2019, 'Sparse eigenbasis approximation: Multiple feature extraction across spatiotemporal scales with application to coherent set identification', Communications in Nonlinear Science and Numerical Simulation, 77, pp. 81 - 107, http://dx.doi.org/10.1016/j.cnsns.2019.04.012

Crimmins H; Froyland G, 2019, 'Stability and Approximation of Statistical Limit Laws for Multidimensional Piecewise Expanding Maps', Annales Henri Poincare, 20, pp. 3113 - 3161, http://dx.doi.org/10.1007/s00023-019-00822-2

Froyland G; González-Tokman C; Quas A, 2019, 'Hilbert space lyapunov exponent stability', Transactions of the American Mathematical Society, 372, pp. 2357 - 2388, http://dx.doi.org/10.1090/tran/7521

Miron P; Beron-Vera FJ; Olascoaga MJ; Froyland G; Pérez-Brunius P; Sheinbaum J, 2019, 'Lagrangian geography of the deep gulf of mexico', Journal of Physical Oceanography, 49, pp. 269 - 290, http://dx.doi.org/10.1175/JPO-D-18-0073.1

Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2018, 'A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems', Communications in Mathematical Physics, 360, pp. 1121 - 1187, http://dx.doi.org/10.1007/s00220-017-3083-7

Dragičevíc D; Froyland G, 2018, 'Hölder continuity of Oseledets splittings for semi-invertible operator cocycles', Ergodic Theory and Dynamical Systems, 38, pp. 961 - 981, http://dx.doi.org/10.1017/etds.2016.55

Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2018, 'Almost sure invariance principle for random piecewise expanding maps', Nonlinearity, 31, pp. 2252 - 2280, http://dx.doi.org/10.1088/1361-6544/aaaf4b

Antown F; Dragičević D; Froyland G, 2018, 'Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems', Journal of Statistical Physics, 170, pp. 1051 - 1087, http://dx.doi.org/10.1007/s10955-018-1985-1

Froyland G; Junge O, 2018, 'Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories', SIAM Journal on Applied Dynamical Systems, 17, pp. 1891 - 1924, http://dx.doi.org/10.1137/17M1129738

Miron P; Beron-Vera FJ; Olascoaga MJ; Sheinbaum J; Pérez-Brunius P; Froyland G, 2017, 'Lagrangian dynamical geography of the Gulf of Mexico', Scientific Reports, 7, pp. 7021, http://dx.doi.org/10.1038/s41598-017-07177-w

Dragicevic D; Froyland G; Gonzalez-Tokman C; Vaienti S, 2017, 'A spectral approach for quenched limit theorems for random expanding dynamical systems', , http://dx.doi.org/10.1007/s00220-017-3083-7

Hadjighasem A; Farazmand M; Blazevski D; Froyland G; Haller G, 2017, 'A critical comparison of Lagrangian methods for coherent structure detection', Chaos, 27, http://dx.doi.org/10.1063/1.4982720

Froyland G; Koltai P, 2017, 'Estimating long-term behavior of periodically driven flows without trajectory integration', Nonlinearity, 30, pp. 1948 - 1986, http://dx.doi.org/10.1088/1361-6544/aa6693

Froyland G; Santitissadeekorn N, 2017, 'Optimal mixing enhancement', SIAM Journal on Applied Mathematics, 77, pp. 1444 - 1470, http://dx.doi.org/10.1137/16M1091496

Froyland G; Stuart RM, 2016, 'Cheeger inequalities for absorbing markov chains', Advances in Applied Probability, 48, pp. 631 - 647, http://dx.doi.org/10.1017/apr.2016.20

Froyland G; Gottwald GA; Hammerlindl A, 2016, 'A trajectory-free framework for analysing multiscale systems', Physica D: Nonlinear Phenomena, 328-329, pp. 34 - 43, http://dx.doi.org/10.1016/j.physd.2016.04.010

Boland N; Dumitrescu I; Froyland G; Kalinowski T, 2016, 'Minimum cardinality non-anticipativity constraint sets for multistage stochastic programming', Mathematical Programming, 157, pp. 69 - 93, http://dx.doi.org/10.1007/s10107-015-0970-6

Froyland G; González-Tokman C, 2016, 'Stability and approximation of invariant measures of Markov chains in random environments', Stochastics and Dynamics, 16, http://dx.doi.org/10.1142/S0219493716500039

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