Measurable Dynamics of Simple p-adic Polynomials

@article{Bryk2005MeasurableDO,
  title={Measurable Dynamics of Simple p-adic Polynomials},
  author={John Bryk and Cesar E. Silva},
  journal={The American Mathematical Monthly},
  year={2005},
  volume={112},
  pages={212-232}
}
The p-adic numbers have many fascinating properties that are different from those of the real numbers. These properties are a consequence of the fact that the distance in the p-adics is measured using a non-Archimedian absolute value or norm. In this article we study the dynamics of algebraically defined transformations on the p-adics and see that there is a strong connection between the topological property of minimality, which is easy to check for such transformations, and the measure… CONTINUE READING