Select Publications

Book Chapters

Froyland G;Padberg-Gehle K, 2014, 'Almost-invariant and finite-time coherent sets: Directionality, duration, and diffusion', in Springer Proceedings in Mathematics and Statistics, 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.), ERGODIC THEORY, OPEN DYNAMICS, AND COHERENT STRUCTURES, edn. Springer Proceedings in Mathematics & Statistics, SPRINGER, Banff, CANADA, 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, BIRKHAUSER BOSTON, UNIV CAMBRIDGE, ISSAC NEWTON INST, CAMBRIDGE, ENGLAND, pp. 281 - 321, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000167889200012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

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

Journal articles

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, vol. 7, 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, vol. 27, http://dx.doi.org/10.1063/1.4982720

Froyland G;Kwok E, 2017, 'A Dynamic Laplacian for Identifying Lagrangian Coherent Structures on Weighted Riemannian Manifolds', Journal of Nonlinear Science, pp. 1 - 83, http://dx.doi.org/10.1007/s00332-017-9397-y

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

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

DRAGIČEVIĆ D;FROYLAND G, 2016, 'Hölder continuity of Oseledets splittings for semi-invertible operator cocycles', Ergodic Theory and Dynamical Systems, pp. 1 - 21, http://dx.doi.org/10.1017/etds.2016.55

Froyland G;González-Tokman C;Watson TM, 2016, 'Optimal mixing enhancement by local perturbation', SIAM Review, vol. 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, vol. 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, vol. 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, vol. 16, http://dx.doi.org/10.1142/S0219493716500039

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

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, vol. 68, pp. 2052 - 2081, http://dx.doi.org/10.1002/cpa.21569

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

Froyland G;Horenkamp C;Rossi V;van Sebille E, 2015, 'Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets', Chaos, vol. 25, pp. 083119, http://dx.doi.org/10.1063/1.4927830

Froyland G;Junge O, 2015, 'On fast computation of finite-time coherent sets using radial basis functions', Chaos, vol. 25, http://dx.doi.org/10.1063/1.4927640

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, vol. 25, http://dx.doi.org/10.1063/1.4926372

Froyland G;Kwok E, 2015, 'Partitions of networks that are robust to vertex permutation dynamics', Special Matrices, vol. 3, pp. 22 - 42, http://dx.doi.org/10.1515/spma-2015-0003

Walker DM;Tordesillas A;Brodu N;Dijksman JA;Behringer RP;Froyland G, 2015, 'Self-assembly in a near-frictionless granular material: conformational structures and transitions in uniaxial cyclic compression of hydrogel spheres', Soft Matter, vol. 11, pp. 2157 - 2173, http://dx.doi.org/10.1039/c4sm02384f

Froyland G;Gottwald GA;Hammerlindl A, 2014, 'A computational method to extract macroscopic variables and their dynamics in multiscale systems', SIAM Journal on Applied Dynamical Systems, vol. 13, pp. 1816 - 1846, http://dx.doi.org/10.1137/130943637

Froyland G;González-Tokman C;Quas A, 2014, 'Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools', Journal of Computational Dynamics, vol. 1, pp. 249 - 278, http://dx.doi.org/10.3934/jcd.2014.1.249

Froyland G;Maher SJ;Wu CL, 2014, 'The recoverable robust tail assignment problem', Transportation Science, vol. 48, pp. 351 - 372, http://dx.doi.org/10.1287/trsc.2013.0463

Bose C;Froyland G;González-Tokman C;Murray R, 2014, 'Ulam's method for Lasota-Yorke maps with holes', SIAM Journal on Applied Dynamical Systems, vol. 13, pp. 1010 - 1032, http://dx.doi.org/10.1137/130917533

Froyland, G. ;Stuart, R. ;Van Sebille, E., 2014, 'How well-connected is the surface of the global ocean?', Chaos, vol. 24, pp. 033126-1 - 033126-10, http://dx.doi.org/10.1063/1.4892530

Froyland G;Pollett PK;Stuart RM, 2014, 'A closing scheme for finding almost-invariant sets in open dynamical systems', Journal of Computational Dynamics, vol. 1, pp. 135 - 162, http://dx.doi.org/10.3934/jcd.2014.1.135

Walker DM;Tordesillas A;Froyland G, 2014, 'Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 89, http://dx.doi.org/10.1103/PhysRevE.89.032205

Froyland G;Gonzalez-Tokman C;Quas A, 2014, 'Stability and approximation of random invariant densities for Lasota-Yorke map cocycles', Nonlinearity, vol. 27, pp. 647 - 660, http://dx.doi.org/10.1088/0951-7715/27/4/647

Dunbar M;Froyland G;Wu CL, 2014, 'An integrated scenario-based approach for robust aircraft routing, crew pairing and re-timing', Computers and Operations Research, vol. 45, pp. 68 - 86, http://dx.doi.org/10.1016/j.cor.2013.12.003

Balasuriya S;Froyland G;Santitissadeekorn N, 2014, 'Absolute flux optimising curves of flows on a surface', Journal of Mathematical Analysis and Applications, vol. 409, pp. 119 - 139, http://dx.doi.org/10.1016/j.jmaa.2013.06.013

Froyland G;Stancevic O, 2013, 'Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems', Stochastics and Dynamics, vol. 13, http://dx.doi.org/10.1142/S0219493713500044

Froyland G, 2013, 'An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems', Physica D: Nonlinear Phenomena, vol. 250, pp. 1 - 19, http://dx.doi.org/10.1016/j.physd.2013.01.013

Froyland G;Hüls T;Morriss GP;Watson TM, 2013, 'Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study', Physica D: Nonlinear Phenomena, vol. 247, pp. 18 - 39, http://dx.doi.org/10.1016/j.physd.2012.12.005

Froyland G;Junge O;Koltai P, 2013, 'Estimating long-term behavior of flows without trajectory integration: The infinitesimal generator approach', SIAM Journal on Numerical Analysis, vol. 51, pp. 223 - 247, http://dx.doi.org/10.1137/110819986

Froyland G;Lloyd S;Quas A, 2013, 'A semi-invertible oseledets theorem with applications to transfer operator cocycles', Discrete and Continuous Dynamical Systems- Series A, vol. 33, pp. 3835 - 3860, http://dx.doi.org/10.3934/dcds.2013.33.3835

Walker D;Tordesillas A;Froyland G, 2013, 'Examining evolving structural networks using minimal cycle similarity networks: applications to stick-slip granular dynamics', Nonlinear Theory and Its Applications, IEICE, vol. 4, pp. 148 - 159, http://dx.doi.org/10.1587/nolta.4.148

Boland N;Bley A;Fricke C;Froyland G;Sotirov R, 2012, 'Clique-based facets for the precedence constrained knapsack problem', Mathematical Programming, vol. 133, pp. 481 - 511, http://dx.doi.org/10.1007/s10107-010-0438-7

Tordesillas A;Walker DM;Froyland G;Zhang J;Behringer RP, 2012, 'Transition dynamics and magic-number-like behavior of frictional granular clusters', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 86, http://dx.doi.org/10.1103/PhysRevE.86.011306

Froyland G;Horenkamp C;Rossi V;Santitissadeekorn N;Gupta AS, 2012, 'Three-dimensional characterization and tracking of an Agulhas Ring', Ocean Modelling, vol. 52-53, pp. 69 - 75, http://dx.doi.org/10.1016/j.ocemod.2012.05.001

Froyland G;Padberg-Gehle K, 2012, 'Finite-time entropy: A probabilistic approach for measuring nonlinear stretching', Physica D: Nonlinear Phenomena, vol. 241, pp. 1612 - 1628, http://dx.doi.org/10.1016/j.physd.2012.06.010

Van Sebille E;England MH;Froyland G, 2012, 'Origin, dynamics and evolution of ocean garbage patches from observed surface drifters', Environmental Research Letters, vol. 7, http://dx.doi.org/10.1088/1748-9326/7/4/044040

Dunbar M;Froyland G;Wu CL, 2012, 'Robust airline schedule planning: Minimizing propagated delay in an integrated routing and crewing framework', Transportation Science, vol. 46, pp. 204 - 216, http://dx.doi.org/10.1287/trsc.1110.0395

Froyland G;Murray R;Stancevic O, 2011, 'Spectral degeneracy and escape dynamics for intermittent maps with a hole', Nonlinearity, vol. 24, pp. 2435 - 2463, http://dx.doi.org/10.1088/0951-7715/24/9/003

Froyland G;Stancevic O, 2010, 'Escape rates and perron-frobenius operators: Open and closed dynamical systems', Discrete and Continuous Dynamical Systems - Series B, vol. 14, pp. 457 - 472, http://dx.doi.org/10.3934/dcdsb.2010.14.457

Bley A;Boland N;Fricke C;Froyland G, 2010, 'A strengthened formulation and cutting planes for the open pit mine production scheduling problem', Computers and Operations Research, vol. 37, pp. 1641 - 1647, http://dx.doi.org/10.1016/j.cor.2009.12.008

Santitissadeekorn N;Froyland G;Monahan A, 2010, 'Optimally coherent sets in geophysical flows: A transfer-operator approach to delimiting the stratospheric polar vortex', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, http://dx.doi.org/10.1103/PhysRevE.82.056311

Froyland G;Santitissadeekorn N;Monahan A, 2010, 'Transport in time-dependent dynamical systems: Finite-time coherent sets', Chaos, vol. 20, http://dx.doi.org/10.1063/1.3502450

2010, 'Coherent structures and isolated spectrum for Perron-Frobenius cocycles', Ergodic Theory and Dynamical Systems, vol. 30, pp. 729 - 756, http://dx.doi.org/10.1017/S0143385709000339


Back to profile page