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: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
IOP Publishing
2017
|
| Subjects: | |
| Online Access: | 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 |
| id |
iium-61353 |
|---|---|
| recordtype |
eprints |
| 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 Conference or Workshop Item 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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English English |
| topic |
QA Mathematics QA300 Analysis |
| 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 |
| 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. |
| format |
Conference or Workshop Item |
| author |
Bekbaev, Ural Mohamat Johari, Mohamat Aidil |
| author_facet |
Bekbaev, Ural Mohamat Johari, Mohamat Aidil |
| author_sort |
Bekbaev, Ural |
| title |
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_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_sort |
ergodicity of power series-maps on the simplexes of group algebras of finite groups |
| publisher |
IOP Publishing |
| publishDate |
2017 |
| 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 |
| first_indexed |
2023-09-18T21:27:01Z |
| last_indexed |
2023-09-18T21:27:01Z |
| _version_ |
1777412259829514240 |