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Devils staircase like behavior of the range of random time series associated with the tangled nature of evolution

Alexander S. Balankin·M. Oswaldo Morales
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Abstract

We present empirical evidence that the range of random time series associated with the tangled nature model of evolution exhibits a devils staircase like behavior characterized by logarithmic trend and the universal multi-affine spectrum of scaling exponents xi_c of q leq q_c moments of q-order height-height correlations, whereas for q > q_c the moments behaves logarithmically.

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Alexander S. Balankin, M. Oswaldo Morales. 2005-03-09. Devils staircase like behavior of the range of random time series associated with the tangled nature of evolution. https://arxiv.org/abs/physics/0503074

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