Ergodicity of power series-maps on the simplexes of group algebras of finite groups

Ergodicity of power series-maps on the simplexes of group algebras of finite groups

For every finite group $G$ the ergodicity of any map $p: S\rightarrow S$ on $S$ is shown, where $\mathcal{R}[G]$ is the real group algebra of $G$ , $$ S= \{x=\sum_{g\in G}x_gg\in \mathcal{R}[G]: \sum_{g\in G}x_g=1, x_g\geq 0 \mbox{ for any}\quad g\in G\}-\mbox{the simplex,} $$ $p(x)= a_0+a_1x...

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Bibliographic Details
Main Authors: Bekbaev, Ural, Mohamat Johari, Mohamat Aidil
Format: Proceeding Paper
Language:English
English
Published: IOP Publishing 2017
Subjects:
QA Mathematics
QA300 Analysis
Online Access:http://irep.iium.edu.my/61353/
http://irep.iium.edu.my/61353/1/61353_Ergodicity%20of%20power%20series-maps.pdf
http://irep.iium.edu.my/61353/7/61353_Ergodicity%20of%20power%20series-maps%20on%20the%20simplexes%20of%20group_scopus.pdf

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