TY - JOUR AU - Greg Cossel AU - Werner Horn AU - William Sherman PY - 2019/05/16 Y2 - 2024/03/29 TI - Fixed Points of a Generalized Discrete Baker's Transformation JF - The PUMP Journal of Undergraduate Research JA - PUMP J. Undergrad. Res. VL - 2 IS - 0 SE - Articles DO - 10.46787/pump.v2i0.155 UR - https://journals.calstate.edu/pump/article/view/155 AB - 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. ER -