English

Characterizations of Type-III Bernoulli Scheme

Operator Algebras 2025-12-05 v5 Dynamical Systems

Abstract

In this paper, we will prove alternate conditions for a type-IIIIII Bernoulli scheme to be of type-III0III_0, type-IIIλIII_{\lambda} and type-III1III_1, and then conclude an alternate definition of the asymptotic ratio set of a type-IIIIII ITPFI factor.

Cite

@article{arxiv.2503.10807,
  title  = {Characterizations of Type-III Bernoulli Scheme},
  author = {Tianyi Zhou},
  journal= {arXiv preprint arXiv:2503.10807},
  year   = {2025}
}
R2 v1 2026-06-28T22:19:43.520Z