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.
Superstatistics of Blaschke products (with C. Penrose),
PDF file
(arXiv:1107.0222)
105.
Testing axion physics in a Josephson junction environment,
PDF file
(arXiv:1110.5871), Mod Phys. Lett. A 26, 2841 (2011)
106.
Axion physics in a Josephson junction environment
PDF file
(arXiv:1008.2085), Physica C 473, 21 (2012)
107.
Statistical mechanics of the vacuum,
PDF file
arXiv:1112.1583