🔢 mathematics
A Randomness Test Formalism for Neutral Measures and Beyond
This paper introduces and proves the existence of "neutral measures" that can generate any real number in Cantor space by utilizing continuous semimeasures and specific randomness tests, ultimately applying these findings to establish the existence of Gibbs measures for finite-range Hamiltonians on lattice models.
Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer
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