By Scientia Professor Gary Froyland

Journal articles

Atnip J; Froyland G; Koltai P, 2026, 'An Inflated Dynamic Laplacian to Track the Emergence and Disappearance of Semi-material Coherent Sets', Journal of Nonlinear Science, 36, http://dx.doi.org/10.1007/s00332-026-10301-8

Badza A; Froyland G; Samuel RJ; Schumacher J, 2026, 'Convective heat transfer patterns in plane-layer Rayleigh-Bénard convection revealed by transient almost-invariant sets', Physical Review Research, 8, http://dx.doi.org/10.1103/f9kk-jkvz

Atnip J; Froyland G; González-Tokman C; Quas A, 2026, 'Universal gap growth for Lyapunov exponents of perturbed matrix products', Journal of the London Mathematical Society, 113, http://dx.doi.org/10.1112/jlms.70548

Froyland G; Kuhl K, 2026, 'LEARNING DYNAMICALLY INSPIRED BASES FOR KOOPMAN AND TRANSFER OPERATOR APPROXIMATION', SIAM Journal on Scientific Computing, 48, pp. C967 - C990, http://dx.doi.org/10.1137/25M178362X

Atnip J; Froyland G; González-Tokman C; Vaienti S, 2025, 'Compound Poisson statistics for dynamical systems via spectral perturbation', Nonlinearity, 38, http://dx.doi.org/10.1088/1361-6544/adfa62

Froyland G; Galatolo S, 2025, 'Optimal linear response for expanding circle maps', Nonlinearity, 38, http://dx.doi.org/10.1088/1361-6544/adac9c

Denes MC; Keating SR; Froyland G, 2025, 'Bathymetry Imposes a Global Pattern of Cross-Front Transport in the Southern Ocean', Journal of Physical Oceanography, 55, pp. 317 - 338, http://dx.doi.org/10.1175/JPO-D-24-0038.1

de Diego Unanue A; Froyland G; Junge O; Koltai P, 2025, 'A DYNAMIC Ρ-LAPLACIAN', SIAM Journal on Mathematical Analysis, 57, pp. 1725 - 1752, http://dx.doi.org/10.1137/24M1632528

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

Badza A; Froyland G, 2024, 'Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events', Chaos, 34, http://dx.doi.org/10.1063/5.0225848

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

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; Abernathey R; Denes M; Keating S, 2021, 'Surface and deep ocean connectivity inferred from robust extraction of coherent sets in ocean flow using models and sparse, scattered, and incomplete float data with transfer operator and dynamic Laplacian methods.', , http://dx.doi.org/10.5194/egusphere-egu21-6710

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

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

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

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

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

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; Junge O, 2017, '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

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

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

Froyland G; González-Tokman C; Watson TM, 2016, 'Optimal mixing enhancement by local perturbation', SIAM Review, 58, pp. 494 - 513, http://dx.doi.org/10.1137/15M1023221

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

Froyland G; González-Tokman C; Quas A, 2015, 'Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi-invertible Matrix Cocycles', Communications on Pure and Applied Mathematics, 68, pp. 2052 - 2081, http://dx.doi.org/10.1002/cpa.21569

Froyland G, 2015, 'Dynamic isoperimetry and the geometry of Lagrangian coherent structures', Nonlinearity, 28, pp. 3587 - 3622, http://dx.doi.org/10.1088/0951-7715/28/10/3587

Froyland G; Padberg-Gehle K, 2015, 'A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data', Chaos, 25, http://dx.doi.org/10.1063/1.4926372

Peacock T; Froyland G; Haller G, 2015, 'Introduction to focus issue: Objective detection of coherent structures', Chaos, 25, http://dx.doi.org/10.1063/1.4928894

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