Asymmetry in repeated isotropic rotations

Type: Article

Publication Date: 2019-09-10

Citations: 0

DOI: https://doi.org/10.1103/physrevresearch.1.023012

Abstract

Uniform random rotations map a point on the sphere uniformly to any other point. In two dimensions, repeating the same rotation twice results again in a uniform distribution. However, such double rotations in three dimensions result in an asymmetric distribution of the image. By deconstructing this operation, the authors show an intuitive explanation for this asymmetry and why it decays with increasing dimension, disappearing again in infinite dimensions

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  • Physical Review Research - View - PDF
  • arXiv (Cornell University) - View - PDF
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