Cycle structure of iterating redei functions
Vasiga and Shallit  study tails and cycles in orbits of iterations of quadratic polynomials over prime fields. These results were extended to repeated exponentiation by Chou and Shparlinski . We show, using the quadratic reciprocity law, that it is possible to extend these results to Rédei functions over prime fields.
|Keywords||Cycle structure, One-dimensional dynamics, Redei functions|
|Journal||Advances in Mathematics of Communications|
Qureshi, C. (Claudio), Panario, D, & Martins, R. (Rodrigo). (2017). Cycle structure of iterating redei functions. Advances in Mathematics of Communications, 11(2), 397–407. doi:10.3934/amc.2017034