Multi-dimensional dynamical systems and Benford's Law

@inproceedings{Berger2005MultidimensionalDS,
  title={Multi-dimensional dynamical systems and Benford's Law},
  author={Arno Berger},
  year={2005}
}
One-dimensional projections of (at least) almost all orbits of manymulti-dimensional dynamical systems are shown to follow Benford's law,i.e. their (base $b$) mantissa distribution is asymptotically logarithmic,typically for all bases $b$. As a generalization and unificationof known results it is proved that under a (generic) non-resonance conditionon $A\in \mathbb C^{d\times d}$, for every $z\in \mathbb C^d$ real and imaginary part of each non-trivialcomponent of $(A^nz)_{n\in N_0}$ and $(e… CONTINUE READING

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