Research
Stochastic modelling, spatio-temporal chaos, power grids, dynamics of air pollution, sustainable energy systems, superstatistics
Interests
Christian Beck’s research is in the general area of data-driven analysis and stochastic modelling of complex systems, with applications to real-world problems, e.g. sustainable energy systems, frequency fluctuations in power grid networks, spatio-temporal air pollution data, traffic delays, and environmental problems. He has made important well-recognized contributions to the understanding of equilibrium states and stationary nonequilibrium states of complex systems, introducing (together with E.G.D Cohen, Rockefeller University New York) so-called superstatistical techniques, which by now have become an established standard method in statistical physics. He is an expert in dynamical systems, stochastic processes, data-driven approaches to complex systems, spatio-temporal chaotic dynamics, stochastic modelling techniques, and interdisciplinary applications.
In 2023 Christian Beck was elected to the Executive Committee of the European Physical Society (EPS). He is currently on the Editorial Board of the journals Scientific Reports, Physica A, Entropy, and Frontiers in Complex Systems. He is also a Fellow of the Institute of Mathematics and its Applications (FIMA).
Publications of specific relevance to the Centre for Complex Systems
![Relevant Publication](/common/publications/images/fav.png)
Publications of specific relevance to the Centre for Complex Systems
2024
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Yan J, Majumdar M, Ruffo S, Sato Y,
Beck C and
Klages R (2024).
Transition to anomalous dynamics in a simple random map. Chaos An Interdisciplinary Journal of Nonlinear Science,
AIP Publishing vol. 34 (2)
01-02-20242023
![bullet icon](/common/publications/images/bullet24.png)
Böttcher PC, Rydin Gorjão L,
Beck C, Jumar R, Maass H, Hagenmeyer V, Witthaut D and Schäfer B (2023).
Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe. Energy Advances,
Royal Society of Chemistry (RSC) vol. 2 (1), 91-97.
01-01-20232022
![bullet icon](/common/publications/images/bullet24.png)
Aswin Giri J, Schäfer B, Verma R, He H, Shiva Nagendra SM, Khare M and
Beck C (2022).
Lockdown Effects on Air Quality in Megacities During the First and Second Waves of COVID-19 Pandemic. Journal- Institution of Engineers (India) Series a,
Springer Nature 24-11-2022![bullet icon](/common/publications/images/bullet24.png)
Yan J and
Beck C (2022).
Information Shift Dynamics Described by Tsallis q = 3 Entropy on a Compact Phase Space. Entropy,
MDPI vol. 24 (11)
17-11-2022![bullet icon](/common/publications/images/bullet24.png)
Anvari M, Proedrou E, Schäfer B,
Beck C, Kantz H and Timme M (2022).
Data-driven load profiles and the dynamics of residential electricity consumption. Nature Communications,
Springer Nature vol. 13 (1)
06-08-2022![bullet icon](/common/publications/images/bullet24.png)
Schäfer B,
Beck C, Rhys H, Soteriou H, Jennings P, Beechey A and Heppell CM (2022).
Machine learning approach towards explaining water quality dynamics in an urbanised river. Scientific Reports,
Springer Nature vol. 12 (1)
19-07-2022![bullet icon](/common/publications/images/bullet24.png)
He H, Schäfer B and
Beck C (2022).
Spatial heterogeneity of air pollution statistics in Europe. Scientific Reports,
Nature Research vol. 12 (1)
16-07-2022![bullet icon](/common/publications/images/bullet24.png)
Han C, Hilger H, Mix E, Böttcher PC, Reyers M,
Beck C, Witthaut D and Gorjão LR (2022).
Complexity and Persistence of Price Time Series of the European Electricity Spot Market. PRX Energy,
American Physical Society (APS) vol. 1 (1)
07-04-2022
Beck C (2022).
Complex systems: the amazing cross-disciplinary journey of statistical physics. Europhysics news vol. 53 (1), 10-10.
28-02-2022![bullet icon](/common/publications/images/bullet24.png)
Gorjão LR, Vanfretti L, Witthaut D,
Beck C and Schäfer B (2022).
Phase and Amplitude Synchronization in Power-Grid Frequency Fluctuations in the Nordic Grid. IEEE Access vol. 10, 18065-18073.
30-01-2022
Beck C and Barbato F (2022).
Physics for secure and efficient societies. Europhysics news,
EDP Sciences vol. 53 (5), 36-39.
01-01-20222021
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Schäfer B, Heppell CM, Rhys H and
Beck C (2021).
Monitoring water quality: A citizen science success story. iScience vol. 24 (11)
19-11-2021![bullet icon](/common/publications/images/bullet24.png)
Itto Y and
Beck C (2021).
Weak correlation between fluctuations in protein diffusion inside bacteria. Journal of Physics : Conference Series,
Institute of Physics (IoP) vol. 2090 (1), 012168-012168.
01-11-2021![bullet icon](/common/publications/images/bullet24.png)
Gorjão LR, Schäfer B, Witthaut D and
Beck C (2021).
Spatio-temporal complexity of power-grid frequency fluctuations. New Journal of Physics vol. 23 (7), 073016-073016.
01-07-2021![bullet icon](/common/publications/images/bullet24.png)
Schäfer B, Heppell CM, Rhys H and
Beck C (2021).
Fluctuations of water quality time series in rivers follow superstatistics. iScience,
Elsevier (Cell Press), 102881-102881.
01-07-2021![bullet icon](/common/publications/images/bullet24.png)
Mitsokapas E, Schaefer B, Harris R and
Beck C (2021).
Statistical characterization of airplane delays. Scientific Reports,
Nature Publishing Group 12-04-2021
Beck C and Itto Y (2021).
Superstatistical modelling of protein diffusion dynamics in bacteria. Journal of the Royal Society Interface,
Royal Society, The 03-03-20212020
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Rydin Gorjao L, Jumar R, Maass H, Hagenmeyer V, Yalcin C, Kruse J, Timme M,
Beck C, Witthaut D and Schaefer B (2020).
Open data base analysis of scaling and spatio-temporal properties of power grid frequencies. Nature Communications,
Nature Research (part of Springer Nature) 11-12-2020
Beck C, van den Beek K and Ritort F (2020).
Physics of Living Matter., Editors: Beck C, van den Beek K and Ritort F.
Europhysics News,
EDP Sciences (51/5)
12-11-2020![bullet icon](/common/publications/images/bullet24.png)
Smolla M, Schäfer B, Lesch H and
Beck C (2020).
Universal properties of primary and secondary cosmic ray energy spectra. New Journal of Physics,
IOP Publishing vol. 22 (9)
01-09-2020
Beck C and Yan J (2020).
Distinguished correlation properties of Chebyshev dynamical systems and their generalizations. Chaos, Solitons and Fractals,
Elsevier 20-06-2020
Beck C, Benedek G, Livadiotis G, Rapisarda A, Tirnakli U and 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.
12-03-2020![bullet icon](/common/publications/images/bullet24.png)
Iacopini I, Schäfer B, Arcaute E,
Beck C and
Latora V (2020).
Multi-layer modelling of adoption dynamics in energy demand management. Chaos: an interdisciplinary journal of nonlinear science,
AIP Publishing 31-01-2020![bullet icon](/common/publications/images/bullet24.png)
Gorjao LR, Anvari M, Kantz H,
Beck C, Witthaut D, Timme M and Schafer B (2020).
Data-driven model of the power-grid frequency dynamics. IEEE Access,
Institute of Electrical and Electronics Engineers (IEEE), 1-1.
20-01-2020![bullet icon](/common/publications/images/bullet24.png)
Williams G, Schäfer B and
Beck C (2020).
Superstatistical approach to air pollution statistics. Physical Review Research,
American Physical Society (APS) vol. 2 (1)
01-01-20202019
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Weber J, Reyers M,
Beck C, Timme M, Pinto JG, Witthaut D and Schäfer B (2019).
Wind Power Persistence Characterized by Superstatistics. Scientific Reports,
Springer Nature vol. 9 (1)
27-12-2019![bullet icon](/common/publications/images/bullet24.png)
Yan J and
Beck C (2019).
Nonlinear Dynamics of Coupled Axion-Josephson Junction Systems. Physica D: Nonlinear Phenomena,
Elsevier 10-12-2019
Beck C (2019).
EPS Statistical and Nonlinear Physics Prize 2019 awarded to Sergio Ciliberto and Satya Majumdar. Europhysics News,
EDP Sciences 01-10-2019![bullet icon](/common/publications/images/bullet24.png)
Martyr R, Schaefer B,
Beck C and
Latora V (2019).
Benchmarking the performance of controllers for power grid transient
stability. Sustainable Energy, Grids and Networks,
Elsevier 12-04-20192018
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Martyr R,
Moriarty J and
Beck C (2018).
Optimal control of a commercial building's thermostatic load for off-peak demand response. Journal of Building Performance Simulation,
Taylor & Francis vol. 12 (5), 580-594.
07-11-2018![bullet icon](/common/publications/images/bullet24.png)
Williams G and
Beck C (2018).
Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation. Nonlinearity,
IOP Publishing vol. 31 (7), 3484-3511.
14-06-2018![bullet icon](/common/publications/images/bullet24.png)
Yalcin GC and
BECK C (2018).
Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices. Scientific Reports,
Nature Publishing Group 29-01-2018![bullet icon](/common/publications/images/bullet24.png)
Schäfer B,
BECK C, Aihara K, Witthaut D and Timme M (2018).
Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics. Nature Energy,
Nature Publishing Group vol. 3, 119-126.
08-01-20182017
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Jizba P, Korbel J, Lavička H, Prokš M, Svoboda V and
BECK C (2017).
Transitions between superstatistical regimes: Validity, breakdown and applications. Physica A: Statistical Mechanics and its Applications,
Elsevier 03-11-2017
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.
11-10-2017![bullet icon](/common/publications/images/bullet24.png)
Xu D and
Beck C (2017).
Symbolic dynamics techniques for complex systems: Application to share price dynamics. EPL (Europhysics Letters) vol. 118 (3), 30001-30001.
07-07-2017
BECK C and Cohen EGD (2017).
Superstatistics: Superposition of Maxwell-Boltzmann Distributions. Kappa Distributions: Theory and Applications of Plasmas 01-05-20172016
Beck C (2016).
Cosmological flux noise and measured noise power spectra in SQUIDs. Scientific Reports,
Nature Publishing Group: Open Access Journals - Option C vol. 6
20-06-2016![bullet icon](/common/publications/images/bullet24.png)
Yalcin GC, Rabassa P and
Beck C (2016).
Extreme event statistics of daily rainfall: dynamical systems approach. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL vol. 49 (15)
15-04-2016![bullet icon](/common/publications/images/bullet24.png)
Xu D and
Beck C (2016).
Transition from lognormal to X2 superstatistics for financial time series. Physica A: Statistical Mechanics and its Applications vol. 453, 173-183.
22-02-2016![bullet icon](/common/publications/images/bullet24.png)
Penrose C and
Beck C (2016).
Superstatistics of Blaschke products. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL vol. 31 (1), 89-105.
02-01-20162015
![bullet icon](/common/publications/images/bullet24.png)
Akram G and
Beck C (2015).
Hierarchical cascade model leading to 7-th order initial value problem. Applied Numerical Mathematics,
Elsevier vol. 91, 89-97.
01-05-2015
Beck C (2015).
Axion mass estimates from resonant Josephson junctions. Physics of the Dark Universe,
Elsevier vol. 7, 6-11.
01-03-2015![bullet icon](/common/publications/images/bullet24.png)
Rabassa P and
Beck C (2015).
Superstatistical analysis of sea-level fluctuations. Physica A Statistical Mechanics and its Applications,
Elsevier vol. 417, 18-28.
01-01-2015