论文标题
大型张量产品的随机操作员的光谱投影的持续性
Persistence of spectral projections for stochastic operators on large tensor products
论文作者
论文摘要
在本文中，证明，对于可数张量产品的随机运算符家族，根据参数顺利进行，任何频谱投影都持续平稳，在这种情况下，使用基于Dobrushin的想法来定义平滑度。因此，创建了针对具有光谱差距的随机操作员家族的严格扰动理论。通过得出有效的三态概率细胞自动机的有效慢速2态动力学来说明它。讨论了一些进一步的潜在应用。
In this paper it is proved that for families of stochastic operators on a countable tensor product, depending smoothly on parameters, any spectral projection persists smoothly, where smoothness is defined using norms based on ideas of Dobrushin. A rigorous perturbation theory for families of stochastic operators with spectral gap is thereby created. It is illustrated by deriving an effective slow 2-state dynamics for a 3-state probabilistic cellular automaton. Some further potential applications are discussed.
