Publications: Prof Christian Beck
Beck C, Tirnakli U, Tsallis C
(
2024
)
.
Generalization of the Gauss map: A jump into chaos with universal features
.
Physical review E: Statistical, nonlinear, biological, and soft matter physics
He H, Boehringer T, Schäfer B, Heppell K, Beck C
(
2024
)
.
Analyzing spatio-temporal dynamics of dissolved oxygen for the River Thames using superstatistical methods and machine learning
.
Scientific Reports
vol.
14
,
(
1
)
Beck C
(
2024
)
.
978-0-7503-6342-6 EPS Grand Challenges: Physics for Society in the Horizon 2050
.
Editors:
Hidalgo, C
,
IOP Publishing Ltd
Klages R, Yan J, Beck C, Majumdar M, Ruffo S, Sato Y
(
2024
)
.
Transition to anomalous dynamics in a simple random map
.
Chaos: An Interdisciplinary Journal of Nonlinear Science
Böttcher PC, Rydin Gorjão L, Beck C, Jumar R, Maass H, Hagenmeyer V, Witthaut D, Schäfer B
(
2023
)
.
Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
.
Energy Advances
vol.
2
,
(
1
)
91
-
97
.
Beck C, Barbato F
(
2023
)
.
Physics for secure and efficient societies
.
EPS GRAND CHALLENGES Physics for Society in the Horizon 2050
,
Editors:
Beck, C
,
Beck C, Barbato F
(
2022
)
.
Physics for secure and efficient societies
.
Europhysics news
vol.
53
,
(
5
)
36
-
39
.
Aswin Giri J, Schäfer B, Verma R, He H, Shiva Nagendra SM, Khare M, 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
Yan J, Beck C
(
2022
)
.
Information Shift Dynamics Described by Tsallis q = 3 Entropy on a Compact Phase Space
.
Entropy
vol.
24
,
(
11
)
Anvari M, Proedrou E, Schäfer B, Beck C, Kantz H, Timme M
(
2022
)
.
Data-driven load profiles and the dynamics of residential electricity consumption
.
Nature Communications
vol.
13
,
(
1
)
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
)
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
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
)
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
)
Yan J, Beck C
(
2019
)
.
Nonlinear Dynamics of Coupled Axion-Josephson Junction Systems
.
Physica D: Nonlinear Phenomena
Beck C
(
2019
)
.
EPS Statistical and Nonlinear Physics Prize 2019 awarded to Sergio Ciliberto and Satya Majumdar
.
Europhysics News
Martyr R, Schaefer B, Beck C, Latora V
(
2019
)
.
Benchmarking the performance of controllers for power grid transient
stability
.
Sustainable Energy, Grids and Networks
Martyr R, Moriarty J, Beck C
(
2018
)
.
Optimal control of a commercial building's thermostatic load for off-peak demand response
.
Journal of Building Performance Simulation
vol.
12
,
(
5
)
580
-
594
.
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, 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 (Europhysics Letters)
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, 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
.
Yalcin GC, Beck C
(
2013
)
.
Environmental superstatistics
.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
vol.
392
,
(
21
)
5431
-
5452
.
Beck C
(
2013
)
.
Possible Resonance Effect of Axionic Dark Matter in Josephson Junctions
.
PHYSICAL REVIEW LETTERS
vol.
111
,
(
23
)
Article
ARTN 231801
,
Groote S, Veermaee H, Beck C
(
2013
)
.
Renormalization group approach to chaotic strings
.
CHAOS SOLITONS & FRACTALS
vol.
53
,
18
-
33
.
Beck C
(
2012
)
.
Axion physics in a Josephson junction environment
.
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS
vol.
473
,
21
-
25
.
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, 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
.
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
(
2011
)
.
TESTING AXION PHYSICS IN A JOSEPHSON JUNCTION ENVIRONMENT
.
MODERN PHYSICS LETTERS A
vol.
26
,
(
38
)
2841
-
2852
.
Schafer M, Beck C
(
2010
)
.
Discrete symmetries of chaotic strings
.
DYNAM SYST
vol.
25
,
(
2
)
253
-
268
.
de Matos CJ, Beck C
(
2009
)
.
Possible Measurable Effects of Dark Energy in Rotating Superconductors
.
Advances in Astronomy
vol.
2009
,
(
1
)
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
.
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
,
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Conference:
Stochastic Climate Models