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Research

Publications: Prof Christian Beck

Schäfer B, Beck C, Rhys H, Soteriou H, Jennings P, Beechey A, Heppell CM ( 2022 ) . Machine learning approach towards explaining water quality dynamics in an urbanised river . Scientific Reports vol. 12 , ( 1 )
Anvari M, Proedrou E, Schäfer B, Beck C, Kantz H, Timme M ( 2022 ) . Data-driven load profiles and the dynamics of residential electricity consumption . Nat Commun vol. 13 , ( 1 )
He H, Schäfer B, Beck C ( 2022 ) . Spatial heterogeneity of air pollution statistics in Europe . Scientific Reports vol. 12 , ( 1 )
Han C, Hilger H, Mix E, Böttcher PC, Reyers M, Beck C, Witthaut D, Gorjão LR ( 2022 ) . Complexity and Persistence of Price Time Series of the European Electricity Spot Market . PRX Energy vol. 1 , ( 1 ) Article 013002 ,
Beck C ( 2022 ) . Complex systems: the amazing cross-disciplinary journey of statistical physics . Europhysics news vol. 53 , ( 1 ) 10 - 10 .
Gorjão LR, Vanfretti L, Witthaut D, Beck C, Schäfer B ( 2022 ) . Phase and Amplitude Synchronization in Power-Grid Frequency Fluctuations in the Nordic Grid . IEEE Access vol. 10 , 18065 - 18073 .
Schäfer B, Heppell CM, Rhys H, Beck C ( 2021 ) . Monitoring water quality: A citizen science success story . iScience vol. 24 , ( 11 )
Itto Y, Beck C ( 2021 ) . Weak correlation between fluctuations in protein diffusion inside bacteria . Journal of Physics : Conference Series vol. 2090 , ( 1 ) 012168 - 012168 .
Schäfer B, Heppell CM, Rhys H, Beck C ( 2021 ) . Fluctuations of water quality time series in rivers follow superstatistics . iScience102881 - 102881 .
Gorjão LR, Schäfer B, Witthaut D, Beck C ( 2021 ) . Spatio-temporal complexity of power-grid frequency fluctuations . New Journal of Physics vol. 23 , ( 7 ) 073016 - 073016 .
Mitsokapas E, Schaefer B, Harris R, Beck C ( 2021 ) . Statistical characterization of airplane delays . Scientific Reports
Beck C, Itto Y ( 2021 ) . Superstatistical modelling of protein diffusion dynamics in bacteria . Journal of the Royal Society Interface
Mitsokapas E, Schäfer B, Harris RJ, Beck C ( 2020 ) . Statistical Characterization of Airplane Delays .
Rydin Gorjao L, Jumar R, Maass H, Hagenmeyer V, Yalcin C, Kruse J, Timme M, Beck C et al. ( 2020 ) . Open data base analysis of scaling and spatio-temporal properties of power grid frequencies . Nature Communications
Beck C, van den Beek K, Ritort F ( 2020 ) . Physics of Living Matter . Europhysics News ( 51/5 )
Smolla M, Schäfer B, Lesch H, Beck C ( 2020 ) . Universal properties of primary and secondary cosmic ray energy spectra . New Journal of Physics vol. 22 , ( 9 )
Beck C, Yan J ( 2020 ) . Distinguished correlation properties of Chebyshev dynamical systems and their generalizations . Chaos, Solitons and Fractals
Beck C, Benedek G, Livadiotis G, Rapisarda A, Tirnakli U, Tsallis C ( 2020 ) . Nonextensive statistical mechanics, superstatistics and beyond: theory and applications in astrophysical and other complex systems . European Physical Journal: Special Topics vol. 229 , ( 5 ) 707 - 709 .
Iacopini I, Schäfer B, Arcaute E, Beck C, Latora V ( 2020 ) . Multi-layer modelling of adoption dynamics in energy demand management . Chaos: an interdisciplinary journal of nonlinear science
Gorjao LR, Anvari M, Kantz H, Beck C, Witthaut D, Timme M, Schafer B ( 2020 ) . Data-driven model of the power-grid frequency dynamics . IEEE Access1 - 1 .
Williams G, Schäfer B, Beck C ( 2020 ) . Superstatistical approach to air pollution statistics . Physical Review Research vol. 2 , ( 1 )
Yan J, Beck C ( 2019 ) . Nonlinear Dynamics of Coupled Axion-Josephson Junction Systems . Physica D: Nonlinear Phenomena
Weber J, Reyers M, Beck C, Timme M, Pinto JG, Witthaut D, Schäfer B ( 2019 ) . Wind Power Persistence Characterized by Superstatistics . Scientific Reports vol. 9 , ( 1 )
Beck C ( 2019 ) . EPS Statistical and Nonlinear Physics Prize 2019 awarded to Sergio Ciliberto and Satya Majumdar . Europhysics News
Martyr R, Moriarty J, Beck C ( 2019 ) . Optimal control of a commercial building's thermostatic load for off-peak demand response . Journal of Building Performance Simulation vol. 12 , ( 5 ) 580 - 594 .
Iacopini I, Schäfer B, Arcaute E, Beck C, Latora V ( 2019 ) . Multilayer modeling of adoption dynamics in energy demand management .
Martyr R, Schaefer B, Beck C, Latora V ( 2019 ) . Benchmarking the performance of controllers for power grid transient stability . Sustainable Energy, Grids and Networks
Williams G, Beck C ( 2018 ) . Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation . Nonlinearity vol. 31 , ( 7 ) 3484 - 3511 .
Martyr R, Moriarty J, Beck C ( 2018 ) . Optimal control of a commercial building's thermostatic load for off-peak demand response .
Martyr R, Schaefer B, Beck C, Latora V ( 2018 ) . Benchmarking the performance of controllers for power grid transient stability .
Yalcin GC, BECK C ( 2018 ) . Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices . Scientific Reports
Schäfer B, BECK C, Aihara K, Witthaut D, Timme M ( 2018 ) . Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics . Nature Energy vol. 3 , 119 - 126 .
Jizba P, Korbel J, Lavička H, Prokš M, Svoboda V, BECK C ( 2017 ) . Transitions between superstatistical regimes: Validity, breakdown and applications . Physica A: Statistical Mechanics and its Applications
BECK C ( 2017 ) . Possible resonance effect of dark matter axions in SNS Josephson junctions . lanl.arxiv.org/abs/1710.04299v1 vol. EPS-HEP2017 , ( Proc. of Science ) 058 - 058 .
Xu D, Beck C ( 2017 ) . Symbolic dynamics techniques for complex systems: Application to share price dynamics . EPL (Europhysics Letters) vol. 118 , ( 3 ) 30001 - 30001 .
BECK C, Cohen EGD ( 2017 ) . Superstatistics: Superposition of Maxwell-Boltzmann Distributions . Kappa Distributions: Theory and Applications of Plasmas
Beck C ( 2016 ) . Cosmological flux noise and measured noise power spectra in SQUIDs . Scientific Reports vol. 6 , Article 28275 ,
Yalcin GC, Rabassa P, Beck C ( 2016 ) . Extreme event statistics of daily rainfall: dynamical systems approach . JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL vol. 49 , ( 15 ) Article ARTN 154001 ,
Xu D, Beck C ( 2016 ) . Transition from lognormal to X2 superstatistics for financial time series . Physica A: Statistical Mechanics and its Applications vol. 453 , 173 - 183 .
Penrose C, Beck C ( 2016 ) . Superstatistics of Blaschke products . DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL vol. 31 , ( 1 ) 89 - 105 .
Akram G, Beck C ( 2015 ) . Hierarchical cascade model leading to 7-th order initial value problem . Applied Numerical Mathematics vol. 91 , 89 - 97 .
Beck C ( 2015 ) . Axion mass estimates from resonant Josephson junctions . Physics of the Dark Universe vol. 7 , 6 - 11 .
Rabassa P, Beck C ( 2015 ) . Superstatistical analysis of sea-level fluctuations . Physica A Statistical Mechanics and its Applications vol. 417 , 18 - 28 .
Miah S, Beck C ( 2014 ) . Lagrangian quantum turbulence model based on alternating superfluid/normal fluid stochastic dynamics . EPL vol. 108 , ( 4 )
Rabassa P, Beck C ( 2014 ) . Extreme Value Laws for Superstatistics . Entropy vol. 16 , ( 10 ) 5523 - 5536 .
Groote S, Veermäe H, Beck C ( 2014 ) . Renormalization aspects of chaotic strings . Journal of Physics Conference Series . vol. 532 ,
Karunarathna H, Brown J, Briganti R, Pockrajac D, Haigh I, Beck C, Dissanayake P, Pedrozo-Acuna D et al. ( 2014 ) . Modelling memory of coastal flood systems . Proceedings of the Coastal Engineering Conference . vol. 2014-January ,
Beck C ( 2013 ) . Possible Resonance Effect of Axionic Dark Matter in Josephson Junctions . PHYSICAL REVIEW LETTERS vol. 111 , ( 23 ) Article ARTN 231801 ,
Yalcin GC, Beck C ( 2013 ) . Environmental superstatistics . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS vol. 392 , ( 21 ) 5431 - 5452 .
Groote S, Veermaee H, Beck C ( 2013 ) . Renormalization group approach to chaotic strings . CHAOS SOLITONS & FRACTALS vol. 53 , 18 - 33 .
Beck C, Miah S ( 2013 ) . Statistics of Lagrangian quantum turbulence . PHYSICAL REVIEW E vol. 87 , ( 3 ) Article ARTN 031002 ,
Akram G, Beck C ( 2013 ) . N coupled non-local harmonic oscillators leading to 2N-th order initial value problem .
Provata A, Beck C ( 2012 ) . Coupled intermittent maps modeling the statistics of genomic sequences: A network approach . PHYSICAL REVIEW E vol. 86 , ( 4 ) Article ARTN 046101 ,
Yalcin GC, Beck C ( 2012 ) . Currents in complex polymers: An example of superstatistics for short time series . PHYSICS LETTERS A vol. 376 , ( 35 ) 2344 - 2347 .
Beck C ( 2012 ) . STATISTICAL MECHANICS OF THE VACUUM . MODERN PHYSICS LETTERS B vol. 26 , ( 10 ) Article ARTN 1250060 ,
Beck C ( 2012 ) . Axion physics in a Josephson junction environment . PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS vol. 473 , 21 - 25 .
Beck C ( 2011 ) . TESTING AXION PHYSICS IN A JOSEPHSON JUNCTION ENVIRONMENT . MODERN PHYSICS LETTERS A vol. 26 , ( 38 ) 2841 - 2852 .
Van Der Straeten E, Beck C ( 2011 ) . Skewed superstatistical distributions from a Langevin and Fokker-Planck approach . CHINESE SCIENCE BULLETIN vol. 56 , ( 34 ) 3633 - 3638 .
Beck C, Provata A ( 2011 ) . Multifractal information production of the human genome . EPL-EUROPHYS LETT vol. 95 , ( 5 ) Article 58002 ,
Provata A, Beck C ( 2011 ) . Multifractal analysis of nonhyperbolic coupled map lattices: Application to genomic sequences . PHYS REV E vol. 83 , ( 6 ) Article 066210 ,
Van der Straeten E, Beck C ( 2011 ) . Dynamical modelling of superstatistical complex systems . PHYSICA A vol. 390 , ( 5 ) 951 - 956 .
Beck C ( 2011 ) . Generalized statistical mechanics for superstatistical systems . PHILOS T R SOC A vol. 369 , ( 1935 ) 453 - 465 .
Schafer M, Beck C ( 2010 ) . Discrete symmetries of chaotic strings . DYNAM SYST vol. 25 , ( 2 ) 253 - 268 .
Beck C ( 2009 ) . Axiomatic approach to the cosmological constant . PHYSICA A vol. 388 , ( 17 ) 3384 - 3390 .
Van der Straeten E, Beck C ( 2009 ) . Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence . PHYS REV E vol. 80 , ( 3 ) Article 036108 ,
Beck C ( 2009 ) . Recent developments in superstatistics . BRAZILIAN JOURNAL OF PHYSICS . vol. 39 , 357 - 363 .
Beck C ( 2009 ) . Superstatistics in high-energy physics Application to cosmic ray energy spectra and e(+)e(-) annihilation . EUR PHYS J A vol. 40 , ( 3 ) 267 - 273 .
Tirnakli U, Tsallis C, Beck C ( 2009 ) . Closer look at time averages of the logistic map at the edge of chaos . PHYS REV E vol. 79 , ( 5 ) Article 056209 ,
Beck C ( 2009 ) . Generalised information and entropy measures in physics . CONTEMP PHYS vol. 50 , ( 4 ) 495 - 510 .
de Matos CJ, Beck C ( 2009 ) . Possible Measurable Effects of Dark Energy in Rotating Superconductors . Advances in Astronomy vol. 2009 , 1 - 10 .
Van der Straeten E, Beck C ( 2008 ) . Superstatistical distributions from a maximum entropy principle . Phys Rev E Stat Nonlin Soft Matter Phys vol. 78 , ( 5 Pt 1 )
Maher M, Beck C ( 2008 ) . Chaotic quantization and the mass spectrum of fermions . CHAOS SOLITON FRACT vol. 37 , ( 1 ) 9 - 15 .
Chen LL, Beck C ( 2008 ) . A superstatistical model of metastasis and cancer survival . PHYSICA A vol. 387 , ( 13 ) 3162 - 3172 .
Beck C, Mackey MC ( 2008 ) . Electromagnetic dark energy . INT J MOD PHYS D vol. 17 , ( 1 ) 71 - 80 .
Abe S, Beck C, Cohen EGD ( 2007 ) . Superstatistics, thermodynamics, and fluctuations . PHYS REV E vol. 76 , ( 3 ) Article 031102 ,
Groote S, Beck C ( 2007 ) . Scaling properties of invariant densities of coupled Chebyshev maps . DYNAM SYST vol. 22 , ( 2 ) 219 - 248 .
Beck C, Mackey MC ( 2007 ) . Zeropoint fluctuations and dark energy in Josephson junctions . FLUCT NOISE LETT vol. 7 , ( 2 ) C27 - C35 .
Briggs K, Beck C ( 2007 ) . Modelling train delays with q-exponential functions . PHYSICA A vol. 378 , ( 2 ) 498 - 504 .
Abe S, Beck C, Cohen EGD ( 2007 ) . Superstatistics, thermodynamics, and fluctuations .
Tirnakli U, Beck C, Tsallis C ( 2007 ) . Central limit behavior of deterministic dynamical systems . PHYS REV E vol. 75 , ( 4 ) Article 040106 ,
Beck C ( 2007 ) . Statistics of three-dimensional lagrangian turbulence . Phys Rev Lett vol. 98 , ( 6 )
Beck C ( 2007 ) . Correlations in superstatistical systems . COMPLEXITY, METASTABILITY AND NONEXTENSIVITY . Editors: Abe, S, Herrmann, H, Quarati, P, Rapisarda, A et al. , vol. 965 , 60 - 67 .
Touchette H, Beck C ( 2006 ) . Nonconcave entropies in multifractals and the thermodynamic formalism . J STAT PHYS vol. 125 , ( 2 ) 459 - 475 .
Groote S, Beck C ( 2006 ) . Scaling behavior of nonhyperbolic coupled map lattices . PHYS REV E vol. 74 , ( 4 ) Article 046216 ,
Beck C ( 2006 ) . Stretched exponentials from superstatistics . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 365 , 96 - 101 .
Beck C ( 2006 ) . Dark energy, chaotic fields, and fundamental constants . Frontiers of Fundamental Physics . Editors: Sidharth, BG, Honsell, F, DeAngelis, A , 137 - 146 .
Beck C ( 2006 ) . Laboratory tests on dark energy . Third 21COE Symposium: Astrophysics as Interdisciplinary Science . Editors: Maeda, K, Daishido, T, Yamada, S , vol. 31 , 123 - 130 .
Beck C ( 2006 ) . Superstatistical Brownian motion . PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT . 29 - 36 .
Beck C, Cohen EGD, Swinney HL ( 2005 ) . From time series to superstatistics . PHYS REV E vol. 72 , ( 5 ) Article 056133 ,
Beck C, Mackey MC ( 2005 ) . Could dark energy be measured in the lab? . PHYS LETT B vol. 605 , ( 3-4 ) 295 - 300 .
Touchette H, Beck C ( 2005 ) . Asymptoties of superstatistics . PHYS REV E vol. 71 , ( 1 ) Article 016131 ,
BECK C ( 2005 ) . Atmospheric turbulence and superstatistics . Europhysics News vol. 36/6 , 189 - 191 .
BECK C, Rapisarda A, Benedek G, Tsallis C ( 2005 ) . Complexity, Metastability and Nonextensivity . World Scientific ( Singapore ),
BECK C ( 2005 ) . Free Energy . Notes: Encyclopedia of Nonlinear Science ed.: A Scott. Publisher: Routledge ,
BECK C ( 2005 ) . Multifractal Analysis . Notes: Encyclopedia of Nonlinear Science. ed.: A. Scott. Publisher: Routledge ,
Touchette H, Ellis RS ( 2005 ) . Nonequivalent ensembles and metastability . Complexity, Metastability and Nonextensivity . Editors: Beck, C, Benedek, G, Rapisarda, A, Tsallis, C et al. , vol. 26 , 81 - 87 .
BECK C ( 2005 ) . String Theory . Notes: Encyclopedia of Nonlinear Science. ed. A. Scott Publisher: Routledge ,
BECK C ( 2005 ) . Superstatistical turbulence models . Conference: Interdisciplinary aspects of turbulence
Beck C ( 2005 ) . Superstatistics: Recent developments and applications . Complexity, Metastability and Nonextensivity . Editors: Beck, C, Benedek, G, Rapisarda, A, Tsallis, C et al. , vol. 26 , 33 - 42 .
Beck C, Cohen EGD ( 2004 ) . Superstatistical generalization of the work fluctuation theorem . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 344 , 393 - 402 .
Beck C ( 2004 ) . Superstatistics, escort distributions, and applications . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 342 , 139 - 144 .
Beck C ( 2004 ) . Nonextensive scalar field theories and dark energy models . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 340 , 459 - 466 .
Daniels KE, Beck C, Bodenschatz EB ( 2004 ) . Defect turbulence and generalized statistical mechanics . PHYSICA D-NONLINEAR PHENOMENA . vol. 193 , 208 - 217 .
Beck C ( 2004 ) . Superstatistics in hydrodynamic turbulence . PHYSICA D-NONLINEAR PHENOMENA . vol. 193 , 195 - 207 .
Beck C ( 2004 ) . Chaotic scalar fields as models for dark energy . PHYS REV D vol. 69 , ( 12 ) Article 123515 ,
Beck C ( 2004 ) . Superstatistics: theory and applications . CONTINUUM MECH THERM vol. 16 , ( 3 ) 293 - 304 .
BECK C ( 2004 ) . Chaotic quantization and the parameters of the standard model . Conference: Proc. Idea-Finding Symposium Frankfurt. EP Systema (Debrecen)
Beck C ( 2004 ) . Generalized statistical mechanics of cosmic rays . PHYSICA A vol. 331 , ( 1-2 ) 173 - 181 .
Beck C ( 2003 ) . Lagrangian acceleration statistics in turbulent flows . EUROPHYS LETT vol. 64 , ( 2 ) 151 - 157 .
Beck C ( 2003 ) . Comment on "Dynamical foundations of nonextensive statistical mechanics" - Reply . PHYS REV LETT vol. 90 , ( 21 ) Article 218902 ,
Beck C, Cohen EGD ( 2003 ) . Superstatistics . PHYSICA A vol. 322 , ( 1-4 ) 267 - 275 .
Beck C ( 2002 ) . Chaotic strings and standard model parameters . PHYSICA D vol. 171 , ( 1-2 ) 72 - 106 .
Beck C ( 2002 ) . Generalized statistical mechanics and fully developed turbulence . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 306 , 189 - 198 .
Beck C ( 2002 ) . Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence . CHAOS SOLITON FRACT vol. 13 , ( 3 ) 499 - 506 .
Beck C ( 2002 ) . Nonextensive methods in turbulence and particle physics . PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS . vol. 305 , 209 - 217 .
Beck C ( 2002 ) . Non-additivity of Tsallis entropies and fluctuations of temperature . EUROPHYS LETT vol. 57 , ( 3 ) 329 - 333 .
BECK C ( 2002 ) . Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields . World Scientific. ( Singapore. ),
Beck C ( 2001 ) . Dynamical foundations of nonextensive statistical mechanics . PHYS REV LETT vol. 8718 , ( 18 ) Article 180601 ,
Beck C ( 2001 ) . On the small-scale statistics of Lagrangian turbulence . PHYS LETT A vol. 287 , ( 3-4 ) 240 - 244 .
Hilgers A, Beck C ( 2001 ) . Higher-order correlations of Tchebyscheff maps . PHYSICA D vol. 156 , ( 1-2 ) 1 - 18 .
Beck C ( 2001 ) . Scaling exponents in fully developed turbulence from nonextensive statistical mechanics . PHYSICA A . vol. 295 , 195 - 200 .
Shivamoggi BK, Beck C ( 2001 ) . A note on the application of non-extensive statistical mechanics to fully developed turbulence . J PHYS A-MATH GEN vol. 34 , ( 19 ) 4003 - 4007 .
Beck C, Lewis GS, Swinney HL ( 2001 ) . Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow . PHYS REV E vol. 6303 , ( 3 ) Article 035303 ,
BECK C, Kantz H, Roedenbeck C ( 2001 ) . Dynamical systems with time scale separation: Averaging, stochastic modelling, and Central Limit Theorems . Conference: Stochastic Climate Models