论文标题
高传性
Hypercurrents
论文作者
论文摘要
我们介绍了协议的概念，该概念由一个空间组成，该空间由固定CW复合物的单元组索引的实数标记，以规定的度数为单位，在其中需要标签才能连续变化。如果空间是一维的歧管，则协议确定连续的Markov链。 当存在同源间隙条件时，我们将每个协议一个“特征”的同谋类关联，我们称之为超流。超流气有两种口味：一种代数拓扑，另一种分析性。对于通用协议，我们表明，在低温限制下，分析性高电流趋向于拓扑超流。我们还展示了具有非平凡性超流量的方案的示例。
We introduce the notion of a protocol, which consists of a space whose points are labeled by real numbers indexed by the set of cells of a fixed CW complex in prescribed degrees, where the labels are required to vary continuously. If the space is a one-dimensional manifold, then a protocol determines a continuous time Markov chain. When a homological gap condition is present, we associate to each protocol a 'characteristic' cohomology class which we call the hypercurrent. The hypercurrent comes in two flavors: one algebraic topological and the other analytical. For generic protocols we show that the analytical hypercurrent tends to the topological hypercurrent in the low temperature limit. We also exhibit examples of protocols having nontrivial hypercurrent.
