Publications:  Prof Christian Beck

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) 1-15.

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.

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, Lavi¿ka 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,

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.

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