Ergodic polynomials on 2-adic spheres
Bulletin Polish Acad. Sci. Math. 65 (2017), 35-44 MSC: Primary 11S82; Secondary 37P20. DOI: 10.4064/ba8099-1-2017 Published online: 9 March 2017
We provide sufficient conditions for invariance, isometricity and ergodicity of polynomials on 2-adic spheres. These conditions are described as relations satisfied by 2-adic coefficients.