论文标题
分辨率的多粒子有限状态动作演变的分辨率无限
Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
论文作者
论文摘要
对于多颗粒有限国家的动作的演变,我们证明观察$σ$ - 菲尔德接受了涉及第三个噪声的分辨率,该分辨率是由带有统一定律的随机变量产生的第三个噪声。我们的证明中利用了Semigroup理论的REES分解和无限卷积的理论。
For multiparticle finite-state action evolutions, we prove that the observation $ σ$-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.