** Books: **

1.
* Thermodynamics of Chaotic
Systems * , Cambridge University Press (1993) (with F. Schloegl)
(paperback edition 1995).

2.
* Spatio-Temporal Chaos and Vacuum Fluctuations of
Quantized Fields * , World Scientific (2002)

** Edited Books: **

3. C. Beck, G. Benedek, A. Rapisarda, and
C. Tsallis (eds.),
Complexity, Metastability, and Nonextensivity,

World Scientific, Singapore (2005)

** Book contributions: **

4. * Transitions from Chaotic to Brownian Motion
Behaviour * , in * Solitons and Chaos *, eds. I. Antoniou, F.
Lambert, Springer, Berlin (1991)

5. * Digital machines iterating chaotic maps: Roundoff induced
periodicity *, in * Proc. Signal and Image Processing *, GRETSI, Juan
les Pins (1991)

6. * A Dynamical System Approach to Quantum
Mechanics with Imaginary Time *, in * Information Dynamics *,

eds. H. Atmanspacher and H. Scheingraber, Springer, Berlin (1991)

7. * Effects of Roundoff Errors on Chaotic Dynamics *,
in EUSIPCO 92, eds. J. Vandewalle and A. Oosterlinck,
Elsevier, New York (1992)

8. * Stochastic processes from deterministic dynamics *, in
* Chaos: The interplay between stochastic and deterministic behaviour *,

eds. P. Garbaczewski, M. Wolf, A. Weron (Springer, New York, 1995)

9. * Coupled map lattices simulating fully developed turbulent
flows *, in * Applied Nonlinear Dynamics and Stochastic Systems Near the
Millenium *,

eds. J.B. Kadtke and A. Bulsara, American Institute
of Physics (1997) (with A. Hilgers)

10. * Dynamical systems with time scale separation:
Averaging,
stochastic modelling, and Central Limit Theorems *,

in * Stochastic Climate Models *, Birkhaeuser
(2001) (with C. Roedenbeck and H. Kantz)
(ps file available)

11. * Multifractal analysis *,
in Encyclopedia of Nonlinear Science, ed. A. Scott,
Routledge (2005),
ps file available

12. * String theory *,
in Encyclopedia of Nonlinear Science, ed. A. Scott,
Routledge (2005),
ps file available

13. * Free energy *,
in Encyclopedia of Nonlinear Science, ed. A. Scott,
Routledge (2005),
ps file available

14. * Chaotic quantization and the parameters of the standard model *,
hep-th/0305173, Proc. Idea-Finding Symposium Frankfurt, 3 (2003), EP Systema,
ps file available

15. *
Superstatistical turbulence models,
PDF file available (physics/0506123),
in Proceedings of MPA Garching (2005)*

*
16.
Superstatistics: Recent developments and applications, *

PDF file available (cond-mat/0502306), in 'Complexity, Metastability and Nonextensivity',

eds. C. Beck, G. Benedek, A. Rapisarda, and C. Tsallis, World Scientific (2005)

*
17.
Dark energy, chaotic fields, and fundamental constants, *

PDF file available (astro-ph/0502211), in 'Frontiers of Fundamental Physics', eds. B.G. Sidharth, F. Honsell and A. de Angelis, p. 137, Springer, Berlin (2006)

*
Journals: *

*
18. Effects of phase space discretization on the
long-time behaviour of dynamical systems , Physica 25D, 173 (1987)
(with G. Roepstorff) *

*
19. From dynamical systems to the Langevin
equation , Physica 145A, 1 (1987) (with G. Roepstorff) *

*
20. Scaling behaviour of random maps , Phys. Lett. 136A,
121 (1989) *

*
21. Upper and lower bounds on the Renyi dimensions
and the uniformity of multifractals , Physica 41D, 67 (1990) *

*
22. Brownian motion from deterministic dynamics , Physica
169A, 324 (1990) *

*
23. Ergodic properties of a kicked damped particle , Commun.
Math. Phys. 130 , 51 (1990) *

*
24. From stochastic processes to the hydrodynamic equations ,
Physica 165A , 270 (1990) (with G. Roepstorff) *

*
25. Thermodynamic formalism for quantum mechanical systems ,
Physica 50D, 1 (1991) *

*
26. Higher order correlation functions of chaotic maps: A graph
theoretical approach ,
Nonlinearity 4, 1131 (1991) *

*
27. Symbolic dynamics of successive quantum mechanical
measurements , Phys. Rev. 46A, 6265 (1992) (with D. Graudenz) *

*
28. Chaotic Motion
in Single- and Double-Well Potentials , Physica 72D, 211 (1994)
(with C. Schroer and G. Roepstorff) *

*
29. Chaotic cascade model for turbulent velocity distributions ,
Phys. Rev. 49E, 3641 (1994) *

*
30. Path integrals in the symbol space of chaotic mappings ,
J. Phys. A. Math. Gen. 28, 1889 (1995) (with T. Tel) *

*
31. Sunspot activity curves and intermittent chaotic behavior ,
Int. J. Bif. Chaos 5, 1213 (1995) (with G. Guerbuez) *

*
32. From the Perron-Frobenius equation to the Fokker-Planck
equation , J. Stat. Phys. 79, 875 (1995) *

*
33. From Ruelle's transfer operator to the Schroedinger
operator , Physica 85D, 459 (1995) *

*
34. Chaotic quantization of field theories ,
Nonlinearity 8, 423 (1995) *

*
35. Dynamical systems of Langevin type ,
Physica 233A, 419 (1996) *

*
36. Coupled map lattices simulating hydrodynamical turbulence ,
Physica 103D, 528 (1997) *

*
37. Turbulent behaviour of stock exchange indices and foreign currency
exchange rates , Int. J. Bif. Chaos 7, 1855 (1997)
(with A. Hilgers) *

*
38. Spontaneous symmetry breaking in a coupled map lattice
simulation of quantized Higgs fields ,
Phys. Lett. 248A, 386 (1998) *

*
39. Physical Meaning for Mandelbrot and Julia sets ,
Physica 125D, 171 (1999) *

*
40. Hierarchical coupled map lattices as cascade models
for hydrodynamical turbulence , Europhys. Lett. 45, 552 (1999)
(with A. Hilgers) *

*
41. Approach to Gaussian stochastic behaviour for systems
driven by deterministic chaotic forces , Phys. Rev. 60E,
5385 (1999)
(with A. Hilgers) *

*
42. Application of generalized thermostatistics to fully developed
turbulence , Physica A 277A, 115 (2000)
( dvi file
, fig1.ps
, fig2.ps
available)*

*
43. Non-extensive statistical mechanics and particle spectra
in elementary interactions ,
Physica 286A, 164 (2000)
( ps file
available) (hep-ph/0004225) *

*
44. Measuring non-extensitivity parameters in a turbulent Couette-Taylor
flow , Phys. Rev. 63E, 035303(R) (2001)
(with G.L. Lewis and H.L. Swinney)
( ps file
available)*

*
45. A note on the application of non-extensive statistical mechanics
to fully developed turbulence , J. Phys. (Math. Gen.) 34A ,
4003 (2001)
(with B.K. Shivamoggi) *

*
46. Higher-order correlations of Tchebyscheff maps ,
Physica 156D , 1 (2001)
(with A. Hilgers) ( ps file available)*

*
47. Scaling exponents in fully developed turbulence from
nonextensive statistical mechanics ,
Physica 295A , 195 (2001)
( ps file
available)*

*
48. On the small-scale statistics of
Lagrangian turbulence ,
Phys. Lett. 287A , 240 (2001),
ps file available (physics/0105058) *

*
49. Dynamical foundations of nonextensive
statistical mechanics ,
Phys. Rev. Lett. 87 , 180601 (2001)
ps file available *

*
50. Non-extensive statistical mechanics approach
to fully developed hydrodynamic turbulence ,
Chaos, Solitons and Fractals 13 , 499 (2002)*

ps file available

*
51.
Non-additivity of Tsallis entropies and fluctuations
of temperature ,
Europhys. Lett. 57 , 329 (2002)*

ps file available (cond-mat/0105371)

*
52.
Nonextensive methods in turbulence and particle physics ,
Physica 305A , 209 (2002)*

ps file available

*
53.
Generalized statistical mechanics and fully developed turbulence ,
Physica 306A , 189 (2002)*

ps file available (cond-mat/0110071)

*
54. Chaotic strings and standard model parameters ,
Physica 171D , 72 (2002)*

ps file available (hep-th/0105152)

*
55. Superstatistics (with E.G.D. Cohen) ,
Physica 322A, 267 (2003), *

ps file available (cond-mat/0205097)

*
56. Lagrangian acceleration statistics in turbulent flows ,
Europhys. Lett. 64 , 151 (2003), *

ps file available (cond-mat/0212566)

*
57. Beck replies , Phys. Rev. Lett. 90 , 218902 (2003) *

*
58. Generalized statistical mechanics of cosmic rays ,
Physica 331A , 173 (2004) *

ps file available (cond-mat/0301354)

*
59.
Superstatistics: Theory and Applications , Cont.
Mech. Therm. 16 , 293 (2004)*

PDF file available (cond-mat/0303288)

*
60.
Superstatistics in hydrodynamic turbulence ,
Physica 193D, 195 (2004), *

ps file available (physics/0303061)

*
61.
Defect turbulence and generalized statistical mechanics (with K.E. Daniels
and E. Bodenschatz) , Physica 193D, 208 (2004)*

ps file available (cond-mat/0302623)

*
62.
Chaotic scalar fields as models for dark energy,
Phys. Rev. 69D, 123515 (2004)*

pdf file available (astro-ph/0310479)

*
63.
Superstatistics, escort distributions, and applications,
ps file available (cond-mat/0312134),
Physica 342A, 139 (2004) *

*
64.
Superstatistical generalization of the work fluctuation theorem
(with E.G.D. Cohen),
ps file avaialable (cond-mat/0312399),
Physica 344A, 393 (2004) *

*
65.
Nonextensive scalar field theories and dark energy models,
ps file available (cond-mat/0312433),
Physica 340A, 459 (2004) *

*
66.
Could dark energy be measured in the lab?
(with Michael C. Mackey),
PDF file available (astro-ph/0406504),
Phys. Lett. B 605, 295 (2005)*

*
67.
Asymptotics of superstatistics
(with Hugo Touchette),
ps file available (cond-mat/0408091),
Phys. Rev. E 71, 016131 (2005)*

*
68.
Superstatistical Brownian motion,
PDF file available (cond-mat/0508263),
Progr. Theor. Phys. Suppl. 162, 29 (2006)*

*
69.
Atmospheric turbulence and superstatistics (with E.G.D. Cohen
and S. Rizzo),
PDF file available (cond-mat/0508257),
Europhysics News 36, 189 (2005)*

*
70.
Nonconcave entropies in multifractals and the thermodynamic formalism
(with H. Touchette),
PDF file available (cond-mat/0507379),
J. Stat. Phys. 125, 455 (2006)*

*
71.
From time series to superstatistics (with E.G.D. Cohen and H.L. Swinney),
PDF file available (cond-mat/0507411),
Phys. Rev. E 72, 056133 (2005)*

*
72.
Stretched exponentials from superstatistics, *

PDF file available (cond-mat/0510841), Physica A 365, 96 (2006)

*
73.
Laboratory tests on dark energy, *

PDF file available (astro-ph/0512327), J. Phys. Conf. Ser. 31, 123 (2006)

*
74.
Scaling behaviour of non-hyperbolic coupled map lattices
(with S. Groote), *

PDF file available (nlin.CD/0603397), Phys. Rev. E 74, 046216 (2006)

*
75.
Zeropoint fluctuations and dark energy in Josephson junctions,
(with M.C. Mackey)*

PDF file available (astro-ph/0603067), Fluctuation and Noise Letters 7, C27 (2007)

*
76.
Scaling properties of invariant densities of coupled Tchebyscheff maps
(with S. Groote), *

PDF file available (nlin.CD/0609052), Dyn. Systems 22, 219-248 (2007)

*
77.
Measurability of vacuum fluctuations and dark energy
(with M.C. Mackey), *

PDF file available (astro-ph/0605418), Physica A 379, 101 (2007)

*
78.
Statistics of 3-dimensional Lagrangian turbulence *

PDF file available (cond-mat/0606655), Phys. Rev. Lett. 98, 064502 (2007)

*
79.
Modelling train delays with q-exponential functions
(with K. Briggs), *

PDF file available (physics/0611097), Physica A 378, 498 (2007)

*
80.
Central limit behavior of deterministic dynamical systems
(with U. Tirnakli and C. Tsallis), *

PDF file (cond-mat/0701622), Phys. Rev. E 75, 040106(R) (2007)

*
81.
Complexity of chaotic fields and standard model parameters, *

PDF file (hep-th/0702082), in

`The logic of nature, complexity and new physics: From quark gluon-plasma to superstrings, quantum gravity, and beyond', ed. A. Zichichi, p. 1-37 (World Scientific, 2008)

*
82.
Electromagnetic dark energy (with M.C. Mackey), *

PDF file (astro-ph/0703364), Int. J. Mod. Phys. D 17, 71-80 (2008)

*
83.
Superstatistics, thermodynamics, and fluctuations
(with S. Abe and E.G.D. Cohen), *

PDF file (arXiv:0705.0148 [cond-mat]), Phys. Rev. E 76, 031102 (2007)

*
84.
Superstatistics: Theoretical concepts and physical applications, *

PDF file (arXiv:0705.3832 [cond-mat])

in R. Klages et al. (eds.): Anomalous Transport: Foundations and Applications, p. 433-457 (Wiley-VCH, 2008)

*
85.
Possible measurable effects of dark energy in rotating superconductors
(with C.J. de Matos),
*

PDF file (arXiv:0707.1797 [gr-qc]), Adv. Astron. 931920 (2009)

*
86.
The dark energy scale in superconductors: Innovative theoretical and experimental concepts
(with C.J. de Matos),
*

PDF file (arXiv:0709.2373 [gr-qc]), in `Dark Energy: Theory, Developments and Implication', p. 33-48, ed. K. Lefebvre and R. Garcia (Nova Publishers, New York) 2010

*
87.
Correlations in superstatistical systems,
*

PDF file (arXiv:0709.3938 [cond-mat]), AIP Conf. Proc. 965, 60 (2007)

*
88.
A superstatistical model of metastasis and cancer survival (with L. Leon Chen),
*

PDF file (arXiv:0711.4687 [physics.med-ph]), Physica A 387, 3162 (2008)

*
89.
Chaotic quantization and the mass spectrum of fermions (with M. Maher),
*

PDF file (arXiv:0801.4720 [hep-th]), Chaos, Solitons and Fractals 37, 9 (2008)

*
90.
Discrete symmetries of chaotic strings (with M. Schaefer),
*

PDF file (arXiv:0801.4892 [nlin.cd]), Dynamical Systems 25, 253 (2010)

*
91.
A closer look at time averages of the logistic map at the edge of chaos (with U. Tirnakli and C. Tsallis),
*

PDF file (arXiv:0802.1138 [cond-mat]), Phys. Rev. E 79, 056209 (2009)

*
92.
Superstatistical distributions from a maximum entropy principle
(with E. Van der Straeten), *

PDF file (arXiv:0806.4332 [cond-mat]), Phys. Rev. E 78, 051101 (2008)

*
93.
Axiomatic approach to the cosmological constant, *

PDF file (arXiv:0810.0752 [gr-qc]), Physica A 388, 3384 (2009)

*
94.
Recent developments in superstatistics, *

PDF file (arXiv:0811.4363 [cond-mat]), Braz. J. Phys. 39, 357 (2009)

*
95.
Superstatistical fluctuations in time series: application to
share price dynamics and turbulence (with E. van der Straeten), *

PDF file (arXiv:0901.2271 [physics]), Phys. Rev. E 036108 (2009)

*
96.
Generalized information and entropy measures in physics, *

PDF file (arXiv:0902.1235 [cond-mat]), Contemp. Phys. 50, 495-510 (2009)

*
97.
Superstatistics in high energy physics: Application to cosmic
ray energy spectra and e+e- annihilation, *

PDF file (arXiv:0902.2459 [hep-ph]), Eur. Phys. J. A 40, 267 (2009)

*
98.
Comment on `Proposed central limit behavior in deterministic dynamical
systems' (with U. Tirnakli and C. Tsallis), *

PDF file (arXiv:0906.1262 [cond-mat.stat-mech])

*
99.
Dynamical modelling of superstatistical complex systems (with E.
Van der Straeten), *

PDF file (arXiv:0911.4816 [cond-mat.stat-mech]), Physica A 390, 951 (2011)

*
100.
Generalized statistical mechanics for superstatistical systems, *

PDF file (arXiv:1007.0903 [cond-mat.stat-mech]), Phil. Trans. Royal Soc. 369, 453 (2011)

*
101.
Multifractal information production of the human genome (with
A. Provata), *

PDF file (arXiv:1011.3449), Europhys. Lett. 95, 58002 (2011)

*
102.
Skewed superstatistical distributions from a Langevin and Fokker-Planck
approach (with E. Van der Straeten), *

PDF file (arXiv:1012.4631), Chin. Science Bull. 56 (No 34), 3633 (2011)

*
103.
Multifractal analysis of nonhyperbolic coupled map lattices: Application
to genomic sequences (with A. Provata), *

PDF file (arXiv:1102.4237), Phys. Rev. E 83, 066210 (2011)

*
104.
Testing axion physics in a Josephson junction environment, *

PDF file (arXiv:1110.5871), Mod Phys. Lett. A 26, 2841 (2011)

*
105.
Axion physics in a Josephson junction environment *

PDF file (arXiv:1008.2085), Physica C 473, 21 (2012)

*
106.
Statistical mechanics of the vacuum, *

PDF file arXiv:1112.1583, Mod. Phys. Lett. B 26, 1250060 (2012)

*
107.
Currents in complex polymers: an example of superstatistics for
short time series (with C. Yalcin), *

PDF files arXiv:1201.5011, Phys. Lett. A 376, 2344 (2012)

*
108.
Coupled intermittent maps modelling the statistics of
genomic sequences: a network approach (with A. Provata), *

PDF file arXiv:1205.2249, Phys. Rev. E 86, 046101 (2012)

*
109.
Statistics of Lagrangian quantum turbulence (with S. Miah), *

PDF file Phys. Rev. E 87, 031002(R)(2013)

*
110.
Renormalization group approach to chaotic strings (with S. Groote and H. Veermae), *

PDF file Chaos Solitons Fractals 53, 18 (2013)

*
111.
Fokker-Planck theory of superstatistics (with S. Abe and E.G.D. Cohen), *

PDF file arXiv:1208.1957

*
112.
Environmental superstatistics (with G.C. Yalcin), *

arXiv:1212.5783, Physica A 392, 5431 (2013)

*
113.
Hierarchical cascade model leading to 7-th order initial value problem
(with G. Akram), *

arXiv:1212.5784, Appl. Num. Math. 91, 89-97 (2015)

*
114.
N coupled non-local harmonic oscillators leading to 2N-th order
initial value problem (with G. Akram),*

arXiv:1302.2482

*
115.
C. Beck, Possible resonance effect of axionic dark matter in S/N/S Josephson junctions,*

Phys. Rev. Lett. 111, 231801 (2013) [arXiv:1309.3790]

*
116. P. Rabassa, C. Beck, Superstatistical analysis of sealevel
fluctuations,*

Physica A 417, 18 (2015) (arXiv:1405.6007)

*
117. S. Groote, H. Veermae, C. Beck, Renormalization aspects of
chaotic strings,*

J.Phys.: Conf. Ser. 532, 012008 (2014)

*
118. S. Miah, C. Beck, Lagrangian quantum turbulence model based on
alternating superfluid/normal fluid stochastic dynamics,*

EPL 108, 40004 (2014) (arXiv:1408.6690)

*
119. P. Rabassa, C. Beck, Extreme value laws for superstatistics,*

Entropy 16, 5523 (2014) (arXiv:1409.2415)

*
120. C. Penrose, C. Beck, Superstatistics of Blaschke products,
Dynamical Systems 31, 89 (2016) *

*
121. C. Beck, Axion mass estimates from resonant Josephson junctions,*

Physics Dark Universe 7-8, 6-11 (2015)

*
122. Dan Xu, C. Beck, Transitions from lognormal to chi-square superstatistics for financial time series,*

arXiv:1506.01660, Physica A 453, 173 (2016)

*
123. C. Yalcin, P. Rabassa, and C. Beck, Extreme event statistics
of daily rainfall: Dynamical systems approach,*

arXiv:1508.03700, J.Phys.A Math.Theor. 49, 154001 (2016)

*
124. C. Beck, Cosmological flux noise and measured noise power spectra
in SQUIDs, *

Scientific Reports 6, 28275 (2016)

*
125. B. Schaefer, C. Beck, K. Aihara, D. Witthaut, and M. Timme,
Heavy tails, superstatistics and scaling of power grid frequency fluctuations,
preprint 2017, submitted to Nature Energy *

*
126. P. Jizba, J. Korbel, H. Lavicka, M. Proks, V. Svoboda, and C. Beck,
Transitions between superstatistical regimes: Validity,
breakdown and applications, arXiv:1707.04838, to appear in Physica A *

*
127. G.C. Yalcin and C. Beck, Generalized statistical mechanics
of cosmic rays: Application to positron-electron spectral indices,
arXiv:1705.01334 *

*
128. D. Xu and C. Beck, Symbolic dynamics techniques for complex systems:
Application to share price dynamics, EPL 118, 30001 (2017) *

*
129. C. Beck and E.G.D. Cohen, Superstatistics: Superposition
of Maxwell-Boltzmann distributions, in G. Livadiotis (ed.):
Kappa Distributions: Theory and Applications
(Elsevier 2017) *

*
*