Computer-assisted bounds for the rate of decay of correlationsGary

  title={Computer-assisted bounds for the rate of decay of correlationsGary},
  author={Gary Froyland},
The rate of decay of correlations quantitatively describes the rate at which a chaotic system \mixes" the state space. We present a new rigorous method to estimate a bound for this rate of mixing. The technique may be implemented on a computer and is applicable to both multidimensional expanding and hyperbolic systems. The bounds produced are signiicantly less conservative than current rigorous bounds. In some situations it is possible to approximate resonant eigenfunctions and to strengthen… CONTINUE READING

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