Every real number greater than 1 is a critical exponent

@article{Krieger2007EveryRN,
  title={Every real number greater than 1 is a critical exponent},
  author={Dalia Krieger and Jeffrey Shallit},
  journal={Theor. Comput. Sci.},
  year={2007},
  volume={381},
  pages={177-182}
}
We prove that for every real number α > 1 there exists an infinite word w over a finite alphabet such that α is the critical exponent of w. c © 2007 Elsevier B.V. All rights reserved.