By Professor Gary Froyland

Journal articles

Froyland G, 2007, 'On ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, 17, pp. 671 - 689, http://dx.doi.org/10.3934/dcds.2007.17.671

Froyland G; Padberg K; England MH; Treguier A, 2007, 'Detection of coherent oceanic structures via transfer operators', Physical Review Letters, 98, pp. 2224503

Froyland G; Murray R; Terhesiu DE, 2007, 'Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension', Physical Review E, 76, pp. 036702

Froyland G, 2007, 'On Ulam approximation of the isolated spectrum and eignfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, 17, pp. 203 - 221

Froyland G, 2005, 'Statistically optimal almost-invariant sets', Physica D - Nonlinear Phenomena, 200, pp. 205 - 219, http://www.sciencedirect.com/science/article/B6TVK-4F6MDHB-1/2/d99248c5767fff9ce4fb6abfc3c7adcd

Walker DM; Froyland G; Judd K; Mees AI, 2003, 'Controllers for nonlinear systems using normal forms', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13, pp. 459 - 465, http://dx.doi.org/10.1142/S0218127403006637

Froyland G; Dellnitz M, 2003, 'Detecting and locating near-optimal almost-invariant sets and cycles', SIAM Journal on Scientific Computing, 24, pp. 1839 - 1863, http://dx.doi.org/10.1137/S106482750238911X

Froyland G; Junge O; Ochs G, 2001, 'Rigorous computation of topological entropy with respect to a finite partition', Physica D: Nonlinear Phenomena, 154, pp. 68 - 84, http://dx.doi.org/10.1016/S0167-2789(01)00216-0

Froyland G; Aihara K, 2001, 'Estimating statistics of neuronal dynamics via Markov chains', Biological Cybernetics, 84, pp. 31 - 40, http://dx.doi.org/10.1007/PL00007979

Dellnitz M; Froyland G; Sertl S, 2000, 'On the isolated spectrum of the Perron-Frobenius operator', Nonlinearity, 13, pp. 1171 - 1188, http://dx.doi.org/10.1088/0951-7715/13/4/310

Froyland G; Aihara K, 2000, 'Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10, pp. 103 - 122, http://dx.doi.org/10.1142/S0218127400000062

Froyland G, 1999, 'Ulam's method for random interval maps', Nonlinearity, 12, pp. 1029 - 1052, http://dx.doi.org/10.1088/0951-7715/12/4/318

Froyland G, 1999, 'Using Ulam's method to calculate entropy and other dynamical invariants', Nonlinearity, 12, pp. 79 - 101, http://dx.doi.org/10.1088/0951-7715/12/1/006

Froyland G, 1998, 'Approximating physical invariant measures of mixing dynamical systems in higher dimensions', Nonlinear Analysis, Theory, Methods and Applications, 32, pp. 831 - 860, http://dx.doi.org/10.1016/S0362-546X(97)00527-0

Cao L; Mees A; Judd K; Froyland G, 1998, 'Determining the minimum embedding dimensions of input-output time series data', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 8, pp. 1491 - 1504, http://dx.doi.org/10.1142/S0218127498001145

Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 56, pp. 157 - 159, http://dx.doi.org/10.1017/S0004972700030823

Froyland G, 1997, 'Computer-assisted bounds for the rate of decay of correlations', Communications in Mathematical Physics, 189, pp. 237 - 257, http://dx.doi.org/10.1007/s002200050198

Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', Bulletin of the Australian Mathematical Society, 56, pp. 157 - 159, http://dx.doi.org/10.1017/s0004972700030823

Froyland G, 1995, 'Finite approximation of Sinai-Bowen-Ruelle measures for Anosov systems in two dimensions', Random & Computational Dynamics, 3, pp. 251 - 264

FROYLAND G; JUDD K; MEES AI; WATSON D; MURAO K, 1995, 'CONSTRUCTING INVARIANT-MEASURES FROM DATA', INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5, pp. 1181 - 1192, http://dx.doi.org/10.1142/S0218127495000843

Froyland G; Judd K; Mees AI, 1995, 'Estimation of Lyapunov exponents of dynamical systems using a spatial average', Physical Review E, 51, pp. 2844 - 2855, http://dx.doi.org/10.1103/PhysRevE.51.2844

Conference Papers

Monga B; Froyland G; Moehlis J, 2018, 'Synchronizing and Desynchronizing Neural Populations through Phase Distribution Control', in Proceedings of the American Control Conference, IEEE, Milwaukee, WI, USA, pp. 2808 - 2813, presented at 2018 Annual American Control Conference (ACC), Milwaukee, WI, USA, 27 June 2018 - 29 June 2018, http://dx.doi.org/10.23919/ACC.2018.8431114

Froyland G; Pucilowski S; Tordesillas A, 2017, 'Self-organization in the localised failure regime: metastable attractors and their implications on force chain functionality', in Radjai F; Nezamabadi S; Luding S; Delenne JY (eds.), EPJ Web of Conferences, EDP Sciences, Montpellier, pp. 10007, presented at Powders & Grains 2017, Montpellier, 03 July 2017 - 07 July 2017, http://dx.doi.org/10.1051/epjconf/201714010007

Rahman A; Froyland G, 2013, 'Freight train scheduling on a single line corridor', in Shitan M; Lee LS; Eshkuvatov ZK (eds.), AIP Conference Proceedings, Sarawak, Malaysia, pp. 159 - 168, presented at Statistics and Operational Research International Conference (SORIC 2013), Sarawak, Malaysia, 03 December 2013 - 05 December 2013, http://dx.doi.org/10.1063/1.4894342

Froyland G; Tordesillas A; Walker DM, 2013, 'Global Markov modelling and analysis of the dynamics of granular deformation and flow', in AIP Conference Proceedings, pp. 563 - 566, http://dx.doi.org/10.1063/1.4811993

Froyland G; Tordesillas A; Walker DM, 2013, 'Global Markov modelling and analysis of the dynamics of granular deformation and flow', in Yu A; Dong K; Yang R; Luding S (eds.), Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media, Sydney, Australia, pp. 563 - 566, presented at Powders and Grains 2013, Sydney, Australia, 08 July 2013 - 12 July 2013

Walker DM; Tordesillas A; Froyland G, 2012, 'Similarity networks of the functional evolution of cycles in structural networks', in In Proceedings, International Symposium on Nonlinear Theory and Its Application, Majorca, Spain, pp. 502 - 505, presented at International Symposium on Nonlinear Theory and Its Applications, Majorca, Spain, 22 October 2012 - 26 October 2012

Bley A; Boland N; Fricke C; Froyland G, 2009, 'Clique-based facets for the precedence constrained knapsack problem', in Proceedings of the 9th Workshop on Models and Algorithms for Planning and Scheduling Problems, Rolduc, The Netherlands, pp. 259 - 269, presented at 9th Workshop on Models and Algorithms for Planning and Scheduling Problems (MAPSP 2009), Rolduc, The Netherlands, 29 June 2009 - 03 July 2009

Froyland G; Dellnitz M; Padberg K; Schwalb M, 2008, 'A transfer operator based numerical investigation of coherent structures in three dimensional Southern ocean circulation', in U21 International Conference on Energy Technologies and Policy 2008, Birmingham, United Kingdom, presented at Energy Technologies and Policy, Birmingham, United Kingdom, 07 September 2008 - 10 September 2008

Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse P, 2004, 'Blasor-blended iron-ore mine planning optimisation at Yandi', in Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, Carlton, Victoria, pp. 285 - 288, presented at Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, 22 November 2004 - 24 November 2004

Menabde M; Froyland G; Stone P; Yeates G, 2004, 'Mining schedule optimisation for conditionally simulated orebodies', in Proceedings of Orebody Modelling and Strategic Mine Planning- Uncertainty and Risk Management International Symposium, Carlton, Victoria, pp. 357 - 342, presented at Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, 22 November 2004 - 24 November 2004

Froyland G; Menabde M; Stone P; Hodson D, 2004, 'The value of additional drilling to open pit mining projects', in Orebody Modelling and Strategic Mine Planning, Perth, WA, presented at Orebody Modelling and Strategic Mine Planning, Perth, WA, 22 November 2004 - 24 November 2004

Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse P, 2004, 'Blasor - Blended iron ore mine planning optimisation at Yandi, Western Australia', in Dimitrakopoulos R (ed.), Orebody Modelling and Strategic Mine Planning: Uncertainty and Risk Management Models, AUSTRALASIAN INST MINING & METALLURGY, AUSTRALIA, Perth, pp. 117 - 120, presented at International Symposium on Orebody Modelling and Strategic Mine Planning, AUSTRALIA, Perth, 22 November 2004 - 23 November 2004, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000238645800016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Menabde M; Froyland G; Stone P; Yeates G, 2004, 'Mining schedule optimisation for conditionally simulated orebodies', in Dimitrakopoulos R (ed.), OREBODY MODELLING AND STRATEGIC MINE PLANNING: UNCERTAINTY AND RISK MANAGEMENT MODELS, AUSTRALASIAN INST MINING & METALLURGY, AUSTRALIA, Perth, pp. 353 - 357, presented at International Symposium on Orebody Modelling and Strategic Mine Planning, AUSTRALIA, Perth, 22 November 2004 - 23 November 2004, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000238645800045&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Froyland G; Aihara K, 1998, 'Statistical analysis of a randomly stimulated neuron', in Usui S; Oori T (ed.), ICONIP'98: THE FIFTH INTERNATIONAL CONFERENCE ON NEURAL INFORMATION PROCESSING JOINTLY WITH JNNS'98: THE 1998 ANNUAL CONFERENCE OF THE JAPANESE NEURAL NETWORK SOCIETY - PROCEEDINGS, VOLS 1-3, OHMSHA LTD, JAPAN, KITAKYUSHU, pp. 1442 - 1445, presented at 5th International Conference on Neural Information Processing (ICONIP 98) / 1998 Annual Conference of the Japanese-Neural-Network-Society (JNNS 98), JAPAN, KITAKYUSHU, 21 October 1998 - 23 October 1998, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000079630400328&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Conference Proceedings (Editor of)

Bahsoun W; Bose C; Froyland G, (eds.), 2012, 'Ergodic Theory, Open Dynamics, and Coherent Structures', Springer, Banff International Research Station, presented at Ergodic Theory, Probabilistic Methods and Applications, Banff International Research Station, 08 April 2012 - 13 April 2012

Media

Froyland G, 2018, Spectral Analysis of Nonstationary Dynamics, SIAM, http://dx.doi.org/10.26190/unsworks/27213

Preprints

Froyland G, 2024, A tutorial on the dynamic Laplacian, http://arxiv.org/abs/2408.04149v1

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, http://dx.doi.org/10.48550/arxiv.2407.07278

Atnip J; Froyland G; Koltai P, 2024, An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets, http://arxiv.org/abs/2403.10360v1

Atnip J; Froyland G; González-Tokman C; Quas A, 2023, Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products, http://arxiv.org/abs/2312.03181v1

Atnip J; Froyland G; González-Tokman C; Vaienti S, 2023, Compound Poisson statistics for dynamical systems via spectral perturbation, http://arxiv.org/abs/2308.10798v2

Unanue ADD; Froyland G; Junge O; Koltai P, 2023, A dynamic $p$-Laplacian, http://dx.doi.org/10.48550/arxiv.2308.05947

Froyland G; Giannakis D; Luna E; Slawinska J, 2023, Revealing trends and persistent cycles of non-autonomous systems with operator-theoretic techniques: Applications to past and present climate dynamics, http://arxiv.org/abs/2308.04045v1

Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2023, Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems, http://arxiv.org/abs/2307.00774v2

Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2022, Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory, http://arxiv.org/abs/2206.02471v1

Denes MC; Froyland G; Keating SR, 2021, Persistence and material coherence of a mesoscale ocean eddy, http://dx.doi.org/10.48550/arxiv.2111.08351

Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2021, Deep Lagrangian connectivity in the global ocean inferred from Argo floats, http://dx.doi.org/10.48550/arxiv.2108.00683

Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, Equilibrium states for non-transitive random open and closed dynamical systems, http://dx.doi.org/10.48550/arxiv.2107.03776

Froyland G; Giannakis D; Lintner B; Pike M; Slawinska J, 2021, Spectral analysis of climate dynamics with operator-theoretic approaches, http://dx.doi.org/10.48550/arxiv.2104.02902

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