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...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP Publishing
2017
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| Subjects: | |
| 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 |
| _version_ | 1848785657861767168 |
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| author | Bekbaev, Ural Mohamat Johari, Mohamat Aidil |
| author_facet | Bekbaev, Ural Mohamat Johari, Mohamat Aidil |
| author_sort | Bekbaev, Ural |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T16:56:38Z |
| format | Proceeding Paper |
| id | iium-61353 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:56:38Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-613532018-10-18T00:55:05Z http://irep.iium.edu.my/61353/ Ergodicity of power series-maps on the simplexes of group algebras of finite groups Bekbaev, Ural Mohamat Johari, Mohamat Aidil QA Mathematics QA300 Analysis 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. IOP Publishing 2017 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/61353/1/61353_Ergodicity%20of%20power%20series-maps.pdf application/pdf en http://irep.iium.edu.my/61353/7/61353_Ergodicity%20of%20power%20series-maps%20on%20the%20simplexes%20of%20group_scopus.pdf 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. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012023 10.1088/1742-6596/949/1/012023 |
| spellingShingle | QA Mathematics QA300 Analysis Bekbaev, Ural Mohamat Johari, Mohamat Aidil Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title | Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title_full | Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title_fullStr | Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title_full_unstemmed | Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title_short | Ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| title_sort | ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| topic | QA Mathematics QA300 Analysis |
| url | http://irep.iium.edu.my/61353/ http://irep.iium.edu.my/61353/ 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 |