Fixed Points of a Generalized Discrete Baker's Transformation

  • Greg Cossel USAA
  • Werner Horn California State University, Northridge
  • William Sherman University of Caifornia Irvine
Keywords: iterative maps; fixed points


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.

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.