Spectra of stochastic adding machines based on Cantor Systems of numeration

Ali Messaoudi; Glauco Valle

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arXiv · 1307.6876

Spectra of stochastic adding machines based on Cantor Systems of numeration

Ali Messaoudi·Glauco Valle

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Abstract

In this paper, we define a stochastic adding machine based on Cantor Systems of numeration. We also compute the parts of spectra of the transition operator associated to this stochastic adding machine in different Banach spaces as $c_0, c$ and $l_α,\; 1 \leq α\leq +\infty$. These spectra are connected to fibered Julia sets.

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Ali Messaoudi, Glauco Valle. 2013-07-25. Spectra of stochastic adding machines based on Cantor Systems of numeration. https://arxiv.org/abs/1307.6876

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