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Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past - MaRDI portal

Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past (Q6111872)

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scientific article; zbMATH DE number 7722773
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Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
scientific article; zbMATH DE number 7722773

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    Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past (English)
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    4 August 2023
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    Based on authors' abstract: The authors prove, for multiparticle finite-state action evolutions, that the observation \(\sigma\)-field admits a resolution involving a third noise which is generated by a random variable with uniform law. In the proofs the Rees decomposition from semigroup theory and the theory of infinite convolutions are used.
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    evolution process
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    Tsirelson's equation
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    resolution of sigma-fields
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    third noise
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    iteration of random mappings
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