论文标题

持续进化家庭

Continuous evolution families

论文作者

Hoshinaga, Shota, Hotta, Ikkei, Yanagihara, Hiroshi

论文摘要

最近,与非共同概率的理论有关,进化家庭的概念$ \ {ω_{s,t} \} _ {s \ le t} $被推广,仅在参数中是连续的,即$ $ $ $(s,s,s,t)\ mapstoω_{s,t} $ contrip contraction contraction contrance contracry contrare contrance and and and and and and and and and and and and and and and and and and and。在本文中,我们向与左右参数有关的持续进化家庭提供了各种等价条件。我们还提供了最后一部分中不连续的进化家庭的示例。

Recently in relation to the theory of non-commutative probability, a notion of evolution families $\{ω_{s,t}\}_{s \le t}$ is generalized that are only continuous in parameters, namely $(s,t) \mapsto ω_{s,t}$ is continuous with respect to locally uniform convergence on a planar domain. In this article we present various equivalence conditions to the continuous evolution families concerned with the left and right parameters. We also provide an example of a discontinuous evolution family in the last section.

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