Publications

If you have difficulty downloading copies, please contact me: G.Froyland@unsw.edu.au
My Google Scholar page.

Edited Book

Refereed Book Chapters

  1. Gary Froyland and Kathrin Padberg-Gehle.
    Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion. To appear in Wael Bahsoun, Chris Bose, Gary Froyland, editors, Ergodic Theory, Open Dynamics, and Coherent Structures. Proceedings in Mathematics and Statistics, volume 70, Springer, 2014. Accepted version.

  2. Gary Froyland.
    Extracting dynamical behaviour via Markov models. In Alistair Mees, editor, Nonlinear Dynamics and Statistics: Proceedings, Newton Institute, Cambridge, 1998, pages 283-324, Birkhauser, 2001. Contents | pdf file | MathReviews doc

  3. Michael Dellnitz, Gary Froyland, and Oliver Junge.
    The algorithms behind GAIO -- Set oriented numerical methods for dynamical systems. In Bernold Fiedler, editor, Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, pages 145-174, Springer 2001. Abstract | final version | MathReviews doc

Submissions to Refereed Journals

Refereed Journal Articles

  1. Christopher Bose, Gary Froyland, Cecilia Gonzalez-Tokman, and Rua Murray.
    Ulam's method for Lasota-Yorke maps with holes. SIAM Journal on Applied Dynamical Systems. To appear. Submitted version.

  2. Gary Froyland, Stephen Maher, and Cheng-Lung Wu.
    The recoverable robust tail assignment problem. Transportation Science. To appear. Submitted version

  3. Gary Froyland, Philip K Pollett, and Robyn M Stuart.
    A closing scheme for finding almost-invariant sets in open dynamical systems. Journal of Computational Dynamics. To Appear. Submitted version.

  4. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
    Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution. Phys Rev E, 89:032205, 2014. Submitted version

  5. Gary Froyland, Cecilia Gonzalez-Tokman, and Anthony Quas.
    Stability and approximation of random invariant densities for Lasota-Yorke map cocycles. Nonlinearity, 27:647-660, 2014 Journal Article

  6. Michelle Dunbar, Gary Froyland, and Cheng-Lung Wu.
    An Integrated Scenario-Based Approach for Robust Aircraft Routing, Crew Pairing and Re-timing. Computers and Operations Research, 45:68-86, 2014. Archived version

  7. Sanjeeva Balasuriya, Gary Froyland, and Naratip Santitissadeekorn.
    Absolute flux optimising curves of flows on a surface. Journal of Mathematical Analysis and Applications, 409:119-139, 2014. Journal Article.

  8. Gary Froyland.
    An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems. Physica D, 250:1-19, 2013. Journal Article.

  9. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
    Examining evolving structural networks using minimal cycle similarity networks: applications to stick-slip granular dynamics. Nonlinear Theory and its Applications, IEICE, Vol. E96-N(4), 2013. Submitted version.

  10. Gary Froyland, Thorsten Huls, Gary P. Morriss, and Thomas M. Watson.
    Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study. Physica D, 247(1):18-39, 2013. Journal Article.

  11. Gary Froyland and Ognjen Stancevic.
    Metastability, Lyapunov exponents, escape rates, and topological entropy of random dynamical systems Stochastics and Dynamics, 13(4), 2013. Proof version

  12. Gary Froyland, Oliver Junge, and Peter Koltai.
    Estimating long term behaviour of flows without trajectory integration: the infinitesimal generator approach. SIAM J. Numer. Anal., 51(1):223–247, 2013. Journal Article

  13. Gary Froyland, Simon Lloyd, and Anthony Quas.
    A semi-invertible Oseledets theorem with applications to transfer operator cocycles. Discrete and Continuous Dynamical Systems, Series A, 33(9):3835-3860, 2013. Journal Article

  14. Erik van Sebille, Matthew H. England, and Gary Froyland.
    Origin and evolution of the ocean garbage patches derived from surface drifter data. Environmental Research Letters, 7:044040, 2012. Submitted version and Garbage movie

  15. Gary Froyland and Kathrin Padberg-Gehle.
    Finite-time entropy: a probabilistic approach for measuring nonlinear stretching. Physica D, 241(19):1612-1628, 2012. Proof version

  16. Gary Froyland, Christian Horenkamp, Vincent Rossi, Naratip Santitissadeekorn, and Alex Sen Gupta.
    Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling, V52-53:69-75, 2012. Journal Article

  17. Antoinette Tordesillas, David M. Walker, Gary Froyland, Jie Zhang, and Robert P. Behringer.
    Transition Dynamics and Magic-Number-Like Behavior of Frictional Granular Clusters. Physical Review E, 86:011306, 2012. Journal Article

  18. Michelle Dunbar, Gary Froyland, and Cheng-Lung Wu.
    Robust Airline Schedule Planning: Minimizing Propagated Delay in an Integrated Routing and Crewing Framework. Transportation Science, 46:204-216, 2012. Article in Advance version

  19. Natashia Boland, Andreas Bley, Chris Fricke, Gary Froyland, and Renata Sotirov.
    Clique-based facets for the precedence constrained knapsack problem. Mathematical Programming, Series A, 133:481-511, 2012. Journal Article

  20. Gary Froyland, Rua Murray, and Ognjen Stancevic.
    Spectral degeneracy and escape dynamics for intermittent maps with a hole. Nonlinearity, 24:2435–2463, 2011. Journal article

  21. Gary Froyland, Naratip Santitissadeekorn, and Adam Monahan.
    Transport in time-dependent dynamical systems: Finite-time coherent sets. Chaos, 20:043116, 2010. Journal Article

  22. Naratip Santitissadeekorn, Gary Froyland, and Adam Monahan.
    Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex Physical Review E, 82:056311, 2010. Journal Article

  23. Gary Froyland, Simon Lloyd, and Naratip Santitissadeekorn.
    Coherent sets for nonautonomous dynamical systems. Physica D, 239:1527--1541, 2010. Journal Article

  24. Gary Froyland and Ognjen Stancevic.
    Escape rates and Perron-Frobenius operators: Open and closed dynamical systems. To appear in Discrete and Continuous Dynamical Systems - Series A, 14:457--472, 2010. Journal Article

  25. Andreas Bley, Natashia Boland, Chris Fricke, and Gary Froyland.
    A strengthened formulation and cutting planes for the open pit mine production scheduling problem. Computers and Operations Research, 37:1641-1647, 2010. Journal Article

  26. Gary Froyland, Simon Lloyd, and Anthony Quas.
    Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Ergodic Theory and Dynamical Systems, 30:729-756, 2010. Journal Article

  27. Michael Dellnitz, Gary Froyland, Christian Horenkamp, Kathrin Padberg-Gehle, and Alex Sen Gupta.
    Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics, 16:655-664, 2009. Journal Article

  28. Gary Froyland and Kathrin Padberg.
    Almost-invariant sets and invariant manifolds -- connecting probabilistic and geometric descriptions of coherent structures in flows. Physica D, 238(16):1507-1523, 2009. Journal Article

  29. Michael Dellnitz, Gary Froyland, Christian Horenkamp, and Kathrin Padberg.
    On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen, 32(1):47--60, 2009. Journal Article

  30. Natashia Boland, Irina Dumitrescu, Gary Froyland, and Ambros M. Gleixner.
    LP-Based Disaggregation Approaches to Solving the Open Pit Mining Production Scheduling Problem with Block Processing Selectivity. Computers and Operations Research, 36(4):1064--1089, 2009. Journal article

  31. Dalia Terhesiu and Gary Froyland.
    Rigorous numerical approximation of Ruelle-Perron-Frobenius operators and topological pressure for expanding maps. Nonlinearity, 21:1953--1966, 2008. Journal Article.

  32. Gary Froyland.
    Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps. Physica D, 237(6):840--853, 2008. Abstract | Journal Article

  33. Gary Froyland, Thorsten Koch, Nicole Megow, Emily Duane, and Howard Wren.
    Optimizing the landside operation of a container terminal. OR Spectrum, 30:53-75, 2008. Abstract | Journal Article

  34. Gary Froyland, Rua Murray, and Dalia Terhesiu.
    Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension. Physical Review E, 76:036702, 2007. Abstract | Journal Article | MathReviews doc

  35. Gary Froyland, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier.
    Detecting coherent oceanic structures via transfer operators. Physical Review Letters, 98:224503, 2007. Abstract | Journal Article | Media Report in Science Daily

  36. Gary Froyland.
    On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps . Discrete and Continuous Dynamical Systems, Series A, 17(3):671-689, 2007. Abstract | Journal Article | MathReviews doc

  37. Gary Froyland.
    Statistically optimal almost-invariant sets. Physica D, 200:205-219, 2005. Abstract | Journal Article | MathReviews doc

  38. Gary Froyland and Michael Dellnitz.
    Detecting and locating near-optimal almost-invariant sets and cycles. SIAM J. Sci. Comput., 24(6): 1839-1863, 2003. Abstract | Journal Article | MathReviews doc

  39. David Walker, Gary Froyland, Kevin Judd, and Alistair Mees.
    Controllers for nonlinear systems using normal forms. Internat. J. Bifur. Chaos Appl. Sci. Engrg, 13(2):459-465, 2003. Abstract | Journal Article | MathReviews doc

  40. Gary Froyland, Oliver Junge, and Gunter Ochs.
    Rigorous computation of topological entropy with respect to a finite partition. Physica D, 154(1-2):68-84, 2001. Abstract | Journal Article | MathReviews doc

  41. Gary Froyland and Kazuyuki Aihara.
    Estimating statistics of neuronal dynamics via Markov chains. Biological Cybernetics, 84(1):31-40, 2001. Abstract | Journal Article

  42. Michael Dellnitz, Gary Froyland, and Stefan Sertl.
    On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 13(4):1171-1188, 2000. Abstract | Journal Article | MathReviews doc

  43. Gary Froyland and Kazuyuki Aihara.
    Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 10(1):103-122, 2000. Abstract | Journal Article | MathReviews doc

  44. Gary Froyland.
    Ulam's method for random interval maps. Nonlinearity, 12:1029-1052, 1999. Abstract | Journal Article | MathReviews doc

  45. Gary Froyland.
    Using Ulam's method to calculate entropy and other dynamical invariants. Nonlinearity, 12(1):79-101, 1999. Abstract | Journal Article | MathReviews doc

  46. Liang-yue Cao, Alistair I. Mees, Kevin Judd and Gary Froyland.
    Determining the minimum embedding dimensions of input-output time series data. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 8(7):1491-1504, 1998. Abstract | Journal Article (tar file with .ps file and figures)

  47. Gary Froyland.
    Approximating physical invariant measures of mixing dynamical systems in higher dimensions. Nonlinear Anal., 32(7):831-360, 1998. Abstract | Journal Article | MathReviews doc

  48. Gary Froyland.
    Computer-assisted bounds for the rate of decay of correlations. Comm. Math. Phys., 189(1):237-257, 1997. Abstract | Journal Article | MathReviews doc

  49. Gary Froyland.
    Finite approximation of Sinai-Bowen-Ruelle measures of Anosov systems in two dimensions. Random Comput. Dynam., 3(4):251-264, 1995. Abstract | pdf file | MathReviews doc

  50. Gary Froyland, Kevin Judd, Alistair I. Mees, Kenji Murao, and David Watson.
    Constructing invariant measures from data. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5(4):1181-1192, 1995. Abstract | Journal Article

  51. Gary Froyland, Kevin Judd, and Alistair I. Mees.
    Estimation of Lyapunov exponents of dynamical systems using a spatial average. Phys. Rev. E, 51(4):2844-2855, 1995. Abstract | Journal Article | MathReviews doc

Refereed Conference Proceedings & Other Journals

  1. Gary Froyland, Antoinette Tordesillas, and David M. Walker.
    Global Markov modelling and analysis of the dynamics of granular deformation and flow dynamics, In AIP Conference Proceedings (Powders and Grains, Sydney, 2013), 1542:563-566, 2013. Submitted version

  2. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
    Similarity Networks of the Functional Evolution of Cycles in Structural Networks, In Proceedings, International Symposium on Nonlinear Theory and its Applications (NOLTA), Majorca, Spain, pages 502--505, 2012. Submitted version

  3. Don Weatherburn, Gary Froyland, Steve Moffatt, and Simon Corben.
    Prison populations and correctional outlays: The effect of reducing re-imprisonment. Crime and Justice Bulletin NSW. Volume 138, 2009. Submitted version

  4. Andreas Bley, Natashia Boland, Christopher Fricke, and Gary Froyland.
    Clique-based facets for the precedence constrained knapsack problem. In Proceedings of the 9th Workshop on Models and Algorithms for Planning and Scheduling Problems (MAPSP 2009), Rolduc, The Netherlands, (eds. C. Stein, M. Uetz, and T. Vredeveld), pages 259-269, 2009. Submitted version

  5. Gary Froyland, Marcel Schwalb, Kathrin Padberg, and Michael Dellnitz.
    A transfer operator based numerical investigation of coherent structures in three-dimensional Southern ocean circulation. In Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications, Budapest, September 2008, pages 313-316, 2008. Submitted version

  6. Gary Froyland, Merab Menabde, Peter Stone, and Dave Hodson.
    The Value of Additional Drilling to Open Pit Mining Projects. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 169-176, Perth, November 2004. MS Word file (433K)

  7. Merab Menabde, Gary Froyland, Peter Stone, and Gavin Yeates.
    Mining Schedule Optimisation for Conditionally Simulated Orebodies. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 357-342, Perth, November 2004. MS Word file (83K)

  8. Peter Stone, Gary Froyland, Merab Menabde, Brian Law, Reza Pasyar, and Peter Monkhouse.
    Blasor - Blended Iron Ore Mine Planning Optimisation at Yandi. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 285-288, Perth, November 2004. MS Word file (1.1M)

  9. Gary Froyland.
    Markov modelling of random dynamical systems. In Proceedings of Equadiff 99, Berlin, Germany, August 1999. Abstract | postscript file (780K)

  10. Michael Dellnitz, Gary Froyland, and Stefan Sertl.
    A conjecture on the existence of isolated eigenvalues of the Perron-Frobenius operator. In Proceedings of Equadiff 99, Berlin, Germany, August 1999. Abstract | postscript file (???K)

  11. Gary Froyland and Kazuyuki Aihara.
    Statistical analysis of a randomly stimulated neuron. In Proceedings of the 1998 International Conference on Neural Information Processing, Kitakyushu, Japan, October 1998. volume 3, pages 1442-1445, 1998. Abstract | postscript file (560K)

  12. Gary Froyland and Kazuyuki Aihara.
    Ulam formulae for random and forced systems In Proceedings of the 1998 International Symposium on Nonlinear Theory and its Applications, Crans-Montana, Switzerland, September 1998, volume 2, pages 623-626, 1998. Abstract | postscript file (85K)

  13. Gary Froyland.
    Finding slowly decaying observables. In Proceedings of the 1998 International Symposium on Nonlinear Theory and its Applications, Crans-Montana, Switzerland, September 1998, volume 1, pages 183-186, 1998. Abstract | postscript file (120K)

  14. Gary Froyland.
    Mixing invariant densities. In Proceedings of the 1998 International Symposium on Artificial Life and Robotics, Beppu, Oita, Japan, January 1998. volume 1, pages 346-349, 1998. Abstract | postscript file (120K)

  15. Gary Froyland.
    Computing physical invariant measures. In Proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1997, volume 2, pages 1129-1132, 1997. Abstract | postscript file (135K)

  16. Liangyue Cao, Alistair Mees, Kevin Judd, and Gary Froyland.
    Identification of variable relations from multivariate chaotic time series data. In Proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1997, volume 2, pages 1305-1308, 1997. Abstract

  17. Gary Froyland.
    Abstract of Estimating Physical Invariant Measures and Space Averages of Dynamical Systems Indicators. Bull. Austral. Math. Soc., 56(1):157-159, 1997. Text version

  18. Gary Froyland, Kevin Judd, Alistair I. Mees, and Kenji Murao.
    Lyapunov exponents and triangulations. In Proceedings of the 1993 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1993, volume 1, pages 281-286, 1993. Abstract | postscript file (50K)

  19. Alistair I. Mees, Kenji Murao, Kevin Judd, and Gary Froyland.
    Triangulations on tori and density estimation. In Proceedings of the 1993 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1993, volume 1, pages 275-280, 1993.

Other Publications