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This paper is a concept paper, which discusses the definition of randomness, and the sources of randomness in the mathematical system as well as in the physical system (the Universe). We document that randomness is an inherited property of mathematics and of the physical world, shaping all observed forms and structures, and we discuss its role.
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Hofstadter, D.R. 1979. Godel, Escher, Bach: an eternal golden braid. New York: Basic Books.
Kurzweil, R. 2003. Reflections on Stephen Wolfram’s ‘a new kind of science’. www.Kurzweilai.net/articles/art0464.html
Langton, C.G. 1986. Studying artificial life with cellular automata. Physica 22D: 120–149.
Lorenz, E.N. 1963. Deterministic nonperiodic flow. Journal of the Atmospheric Sciences 20: 130–141. CrossRef
Mandelbrot, B.B. 1983. The fractal geometry of nature. New York: Freeman.
Ohno, S. 1970. Evolution by gene duplication. Heidelberg: Springer-Verlag. CrossRef
Peitgen, H.-O., and D. Saupe. 1988. The science of fractal images. New York: Springer-Verlag.
Peitgen, H.-O., H. Jurgens, and D. Saupe. 1992. Chaos and fractals: new frontiers of science. New York: Springer-Verlag. CrossRef
Prigogine, I. 1980. From being to becoming. New York: Freeeman.
Resnikoff, H.L. 1989. The fusion of reality. New York: Springer-Verlag.
Robinson, A. 2002. Lost languages. New York: McCraw Hill.
Tsonis, A.A. 1987. Some probabilistic aspects of fractal growth. Journal of Physics A: Mathematical and General 20: 5025–5028. CrossRef
———. 1991. The effect of truncation and round-off on computer generated chaotic trajectories. Computers and Mathematics with Applications 21: 93–94. CrossRef
———. 1996. Dynamical systems as models of physical processes. Complexity 1 (5): 23–33. CrossRef
———. 2008. Randomnicity: rules and randomness in the realm of the infinite. London: Imperial College Press. CrossRef
Tsonis, A.A., and J.B. Elsner. 1987. Fractal characterization and simulation of lightning. Contributions to Atmospheric Physics 60: 187–192.
Tsonis, A.A., F. Heller, and P.A. Tsonis. 2002. Probing the linearity and nonlinearity in DNA sequences. Physica A 312: 458–468. CrossRef
Wolfram, S. 2002. A new kind of science. Champain IL: Wolfram Media, Inc..
Zipf, G. 1949. Human behavior and the principle of least effort. Cambridge MA: Addison-Wesley.
- Randomnicity: Randomness as a Property of the Universe
Anastasios A. Tsonis
- Springer International Publishing
- Sequence number
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