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Chaos: But Not in Both Directions!

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Abstract

This paper will informally explore the reversal of some stochastic autoregressive processes, which lead to deterministically chaotic processes. Correspondingly, the stochastic reversal of map models is shown to lead to a new class of invariant distribution. Finally, some connections between congruential recursions and independence in discretized chaotic processes are illustrated.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Birmingham, Birmingham, B15 2TT, England

    Anthony J. Lawrance

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  1. Anthony J. Lawrance
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Lawrance, A.J. Chaos: But Not in Both Directions!. Statistics and Computing 11, 213–216 (2001). https://doi.org/10.1023/A:1016696103384

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  • DOI: https://doi.org/10.1023/A:1016696103384

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