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The baker's transformation is not embeddable

  • Part III. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)
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Abstract

The baker's transformation is one of the earliest and simplest examples of a bijective mixing transformation. By determining its cycle structure, we show that this transformation is not embeddable in any flow, i.e., one-parameter semigroup, on the nonnegative rationals and,a fortiori, not emdeddable in any flow on the reals.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, Massachusetts

    B. Schweizer

  2. Department of Mathematics, Illinois Institute of Technology, 60616, Chicago, Illinois

    A. Sklar

Authors
  1. B. Schweizer
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  2. A. Sklar
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Additional information

Dedicated to the memory of Charles H. Randall, colleague and friend.

Research supported in part by ONR Contract N-00014-87-K-0379.

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Schweizer, B., Sklar, A. The baker's transformation is not embeddable. Found Phys 20, 873–879 (1990). https://doi.org/10.1007/BF01889695

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  • DOI: https://doi.org/10.1007/BF01889695

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