The exquisite geometric structure of a central limit theorem

Fractals

Volumn 11, Issue 1, 2003, Pages 39-52

  Puente, Carlos E ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Central Limit Theorem; Crystals; Fractal Interpolation; n Fold Symmetric Patterns

Indexed keywords

EID: 0037651890     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X03001458     Document Type: Article

References (12)

1. C. E. Puente, M. M. López, J. E. Pinzón and J. M. Angulo, "The Gaussian Distribution Revisited," Adv. Appl. Prob. 28(2), 500-524 (1996).
2. C. E. Puente and A. Klebanoff, "Gaussians Everywhere," Fractals 2(1), 65-79 (1994).
3. M. F. Barnsley, "Fractal Functions and Interpolation," Constr. Approx. 2, 303-329 (1986).
4. C. E. Puente, "The Remarkable Kaleidoscopic Decompositions of the Bivariate Gaussian Distribution," Fractals 5(1), 47-61 (1997).
5. M. F. Barnsley, Fractals Everywhere (Academic Press, New York, 1988).
6. K. R. Sreenivasan, "Fractals and Multifractals in Fluid Turbulence," Ann. Rev. Fluid Mech. 23, 539-600 (1991).
7. J. Elton, "An Ergodic Theorem for Iterated Maps," J. Erg. The. Dynam. Syst. 7, 481-488 (1987).
8. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes. The Art of Scientific Computing (Cambridge University Press, 1989).
9. C. E. Puente, N. Obregón, O. Robayo, M. G. Puente and D. Simsek, "Projections Off Fractal Functions: A New Vision of Nature's Complexity," Fractals 7(4), 387-401 (1999).
10. C. E. Puente, "DNA, Pi and the Bell," Complexity 6(2), 16-22 (2000).
11. C. E. Puente, Treasures Inside the Bell. Hidden Order in Chance (World Scientific, 2002), in press.
12. G. M. Zaslavsky, Physics of Chaos in Hamiltonian Systems (Imperial College Press, London, 1998).