Evidence of a random multifractal turbulent structure in the Dow Jones Industrial Average

This paper uses over 18,000 daily observations on the Dow Jones Industrial Average (DJIA) (from 3 January 1928 to 18 October 2000) and various tests from statistics and dynamical systems theory to support a random multifractal turbulent structure for the US stock market. In particular, this structure is supported by J.C. Vassilicos, A. Demos and F. Tata [Fractals, Chaotic Behavior in Systems, 1994, 249] multifractal structure test and S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, Y. Dodge [Nature 381 (1996) 767] turbulent behavior test.