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arXiv · 2008.12407

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

Yu Ito·Toru Sera·Kouji Yano
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Abstract

For multiparticle finite-state action evolutions, we prove that the observation $ \sigma $-field admits a resolution involving a third noise which is generated by a random variable with uniform law. The Rees decomposition from the semigroup theory and the theory of infinite convolutions are utilized in our proofs.

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Yu Ito, Toru Sera, Kouji Yano. 2020-08-27. Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past. https://arxiv.org/abs/2008.12407

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