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arXiv · 2503.10807

Characterizations of Type-III Bernoulli Scheme

Tianyi Zhou
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Abstract

In this paper, we will prove alternate conditions for a type-$III$ Bernoulli scheme to be of type-$III_0$, type-$III_{\lambda}$ and type-$III_1$, and then conclude an alternate definition of the asymptotic ratio set of a type-$III$ ITPFI factor.

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Tianyi Zhou. 2025-03-13. Characterizations of Type-III Bernoulli Scheme. https://arxiv.org/abs/2503.10807

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