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

Bekbaev, Ural and Mohamat Johari, Mohamat Aidil (2017) Ergodicity of power series-maps on the simplexes of group algebras of finite groups. In: 4th International Conference on Mathematical Applications in Engineering (ICMAE ’17), 8th-9th Aug. 2017, Kuala Lumpur, Malaysia.

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Abstract

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 $G$ , $$ S= \{x=\sum_{g\in G}x_gg\in \mathcal{R}[G]: \sum_{g\in G}x_g=1, x_g\geq 0 \mbox{ for any}\quad g\in G\}-\mbox{the simplex,} $$ $p(x)= a_0+a_1x+ a_{2}x^{2}+ ...$, \ $x\in S$,\ $a_i\geq 0$ and $\sum_{i=0}^{\infty}a_i=1$. The regularity of this map at a given point $x\in S $ is investigated as well.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6830/61353
Uncontrolled Keywords:	power series-maps
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Associate Prof. Ural Bekbaev
Date Deposited:	16 Jan 2018 11:08
Last Modified:	18 Oct 2018 08:55
URI:	http://irep.iium.edu.my/id/eprint/61353

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