Complexity measures from interaction structures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 2, 2009, Pages

  Kahle, T ^a   Olbrich, E ^a   Jost, J ^a,b   Ay, N ^a,b  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR AUTOMATA; INFORMATION THEORY; PATTERN RECOGNITION SYSTEMS;

COMPLEXITY MEASURES; COUPLED MAPS; DYNAMICAL REGIMES; INTERACTION STRUCTURES; MODEL SYSTEMS; STATISTICAL DEPENDENCES; SYMBOLIC DYNAMICS;

RANDOM VARIABLES;

EID: 60949085347     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.026201     Document Type: Article

References (27)

1. S. Amari, IEEE Trans. Inf. Theory 47, 1701 (2001). 10.1109/18.930911
2. S. Amari, Methods of Information Geometry, Vol. 191 of Translations of Mathematical Monographs (American Mathematical Society, Providence, RI, 2000).
3. J. N. Darroch, S. L. Lauritzen, and T. P. Speed, Ann. Stat. 8, 522 (1980). 10.1214/aos/1176345006
4. N. Ay and A. Knauf, Kybernetika 42, 517 (2006).
5. I. Csiszár and F. Matú, in Proceedings of the IEEE International Symposium on Information Theory, edited by, Hans-Andrea Loeliger, (IEEE, New York, 2002), p. 434.
6. T. Kahle, W. Wenzel, and N. Ay, Kybernetika (to be published).
7. I. Csiszar and P. C. Shields, Information Theory and Statistics: A Tutorial, Foundations and Trends in Communications and Information Theory (Now Publishers Inc., Delft, Netherlands, 2004).
8. G. Tononi, O. Sporns, and M. Edelman, Proc. Natl. Acad. Sci. U.S.A. 91, 5033 (1994). 10.1073/pnas.91.11.5033
9. N. Ay, E. Olbrich, N. Bertschinger, and J. Jost, Santa Fe Institute, Report No. 06-08-028 (2006).
10. K. Lindgren, Complex Syst. 1, 592 (1987).
11. P. Grassberger, Int. J. Theor. Phys. 25, 907 (1986). 10.1007/BF00668821
12. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983). 10.1103/RevModPhys.55.601
13. S. Wolfram, Cellular Automata and Complexity (Addison-Wesley, Reading, MA, 1994).
14. K. Kaneko, Chaos 2, 279 (1992). 10.1063/1.165869
15. M. Droz and A. Lipowski, Phys. Rev. E 67, 056204 (2003). 10.1103/PhysRevE.67.056204
16. C. Hauptmann, H. Touchette, and M. C. Mackey, Phys. Rev. E 67, 026217 (2003). 10.1103/PhysRevE.67.026217
17. D. Lind and B. Marcus, Symbolic Dynamics and Coding (Cambridge University Press, Cambridge, England, 1995).
18. S. Jalan, J. Jost, and F. M. Atay, Chaos 16, 033124 (2006). 10.1063/1.2336415
19. S. Jalan, F. M. Atay, and J. Jost, e-print arXiv:nlin.CD/0510057.
20. S. Kullback, Information Theory and Statistics (Dover, New York, 1968).
21. I. Csiszar, Ann. Probab. 3, 146 (1975). 10.1214/aop/1176996454
22. L. Steiner and T. Kahle, http://personal-homepages.mis.mpg.de/kahle/cipi
23. P. Grassberger, J. Stat. Phys. 45, 27 (1986). 10.1007/BF01033074
24. P. Grassberger, Phys. Rev. E 59, R2520 (1999). 10.1103/PhysRevE.59.R2520
25. P. Grassberger, J. Phys. A 20, 4039 (1987). 10.1088/0305-4470/20/12/049
26. K. Kaneko, Physica D 41, 137 (1990). 10.1016/0167-2789(90)90119-A
27. R. E. Amritkar, S. Jalan, and C. K. Hu, Phys. Rev. E 72, 016212 (2005). 10.1103/PhysRevE.72.016212