A note on the perturbed monomial mapping

  • Cheng-qin QuEmail author
  • Zhi-wei Zhu
  • Zuo-ling Zhou


In this paper, we present a necessary and sufficient condition that the perturbed monomial mapping is ergodic on a sphere \(S_{p^{-1}}(1)\), which is in a combination with Anashin’s earlier results about the perturbed monomial ergodic mappings on a sphere \(S_{p^{-r}}(1)\); r > 1, com-pletely solve a problem posed by A. Khrennikov about the ergodicity of a perturbed monomial mapping on a sphere.


perturbed monomial mapping ergodic p-adic integers 

MR Subject Classification

28A78 28A80 


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Copyright information

© Editorial Committee of Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsSouth China UniversityGuangzhouChina
  2. 2.School of Mathematics and StatisticsZhaoqing UniversityZhaoqingChina
  3. 3.Lingnan CollegeSun Yat-sen UniversityGuangzhouChina

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