Ergodicity of power series-map on the simplex of group algebra of a finite group

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dc.creatorBekbaev, Ural
dc.creatorAidil, M. J. Mohamat
dc.date2006-08-09
dc.date.accessioned2026-07-07T07:21:33Z
dc.date.available2026-07-07T07:21:33Z
dc.descriptionA finite group $G$, its group algebra $R[G]$ over the field of real numbers, any power series $p(t)= a_0+a_1t+ a_{2}t^{2}+ ...$, where $ a_i \geq 0$, and $a_0+a_1+ a_{2}+...= 1$, and simplex $$ S= \{x=\sum_{g\in G}x_gg\in R[G]: \sum_{g\in G}x_g=1, x_g\geq 0 {for any}\quad g\in G \}$$ are considered. Ergodicity of the map $p: S\to S$, where $p(x)= a_0+a_1x+ a_{2}x^{2}+ >...$ for $x\in S$, on $S$ is shown. The regularity of this map at a given point $x\in S $ is investigated as well.
dc.identifierhttps://arxiv.org/abs/math/0608207
dc.identifierhttp://arxiv.org/abs/math/0608207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115335
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subject37A25, 20C05
dc.titleErgodicity of power series-map on the simplex of group algebra of a finite group
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