A note on the perturbed monomial mapping

作     者：QU Cheng-qin ZHU Zhi-wei ZHOU Zuo-ling 

作者机构：Department of Applied Mathematics South China University of Technology School of Mathematics and Statistics Zhaoqing University Lingnan College Sun Yat-sen University 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2019年第34卷第1期

页      面：76-81页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(10771075 11371379) 

主　　题：perturbed monomial mapping ergodic p-adic integers 

摘      要：In this paper, we present a necessary and suffcient 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, completely solve a problem posed by A. Khrennikov about the ergodicity of a perturbed monomial mapping on a sphere.