Resolution of Sigma-Fields for Multiparticle Finite-State Action Evolutions with Infinite Past
نویسندگان
چکیده
For multiparticle finite-state action evolutions, we prove that the observation $$ \sigma -field admits a resolution involving third noise which is generated by random variable with uniform law. The Rees decomposition from semigroup theory and of infinite convolutions are utilized in our proofs.
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2022
ISSN: ['1572-9230', '0894-9840']
DOI: https://doi.org/10.1007/s10959-022-01219-4