On a Representation of Isometric Transformations on $$\mathbb{Z}_{p}$$ and Some Applications
Abstract
We define a representation of isometric functions on the ring of $$p$$ -adic integers $$\mathbb{Z}_{p}$$ in terms of permutations of the set $$\{0,\ldots, p-1\}.$$ We also provide new ergodicity criteria using these representations.
Fields of Study & Subjects
p-Adic Analysis and Mathematical Physics
Mathematical Dynamics and Fractals
Analytic Number Theory Research
Publication details
- Journal / source
- P-Adic Numbers Ultrametric Analysis and Applications
- Volume
- 18
- Issue
- 1
- Pages
- 88–102
- Publication date
- 1 March 2026
- Language
- EN