Fixed Points of a Generalized Discrete Baker's Transformation

Authors

  • Greg Cossel USAA
  • Werner Horn California State University, Northridge
  • William Sherman University of Caifornia Irvine

DOI:

https://doi.org/10.46787/pump.v2i0.155

Keywords:

iterative maps; fixed points

Abstract

In this note we investigate the fixed point sets for the iterations of a generalization of the two-dimensional discrete baker's transformation. In particular, we will derive explicit formulas for the fixed points, and the number of fixed points. Moreover, we will show that the set of all fixed points is a closed set. This generalizes the some of known results for the classical baker's transformation.

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Published

2019-05-16

How to Cite

Cossel, G., Horn, W., & Sherman, W. (2019). Fixed Points of a Generalized Discrete Baker’s Transformation. The PUMP Journal of Undergraduate Research, 2, 73–86. https://doi.org/10.46787/pump.v2i0.155

Issue

Vol. 2 (2019): PUMP Journal of Undergraduate Research

Section

Articles

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.