1 citations · 1 across the 4 of their papers we have counts for
4 papers
Covers of Tiling Spaces
Franz Gähler, Jianlong Liu, Lorenzo Sadun
We study the ways that one tiling space can be a finite regular cover of another. We classify all of the finite regular covers of a tiling space via its structure as an inverse lim…
Research on the identification of the two-phase flow pattern of gas-liquid in a vertical rising tube based on BP neural networks
Xiaojun Zhang, Shijiao Liu, Jiayue Qian +2
Research on the identification of the two-phase flow pattern of gas-liquid in a vertical rising pipe is of great significance for improving the production capacity and production e…
New results on tilings via cup products and Chern characters on tiling spaces
Jianlong Liu, Jonathan Rosenberg, Rodrigo Treviño
We study the cohomology rings of tiling spaces given by cubical substitutions. While there have been many calculations before of cohomology groups of such tiling spaces, the in…
-theory of two-dimensional substitution tiling spaces from -algebras
Jianlong Liu
Given a two-dimensional substitution tiling space, we show that, under some reasonable assumptions, the -theory of the groupoid -algebra of its unstable groupoid can be…