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arXiv · 1304.7182

A note on the dynamics of linear automorphisms of a measure convolution algebra

Alexandre Baraviera·Elismar R. Oliveira·Fagner B. Rodrigues
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Abstract

In this work we are going to study the dynamics of the linear automorphisms of a measure convolution algebra over a finite group, $T(\mu)=\nu * \mu$. In order to understand an classify the asymptotic behavior of this dynamical system we provide an alternative to classical results, a very direct way to understand convergence of the sequence $\{\nu^{n}\}_{n\in\mathbb{N}}$, where $G$ is a finite group, $\nu\in\mathcal{P}(G)$ and $\nu^n=\underbrace{\nu\ast...\ast\nu}_n$, trough the subgroup generated by his support.

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Alexandre Baraviera, Elismar R. Oliveira, Fagner B. Rodrigues. 2013-04-26. A note on the dynamics of linear automorphisms of a measure convolution algebra. https://arxiv.org/abs/1304.7182

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