1 citations · 2 across the 4 of their papers we have counts for
4 papers
A generalization of Reifenberg's theorem in R^N for flat cones
Xiangyu Liang, Sicheng Zhang
In this paper we prove that if a closed set in R^N is close to a cone over a simplicial complex at each point and at each scale, then it is locally bi-Hölder equivalent to such a c…
On the Almgren minimality of the product of a paired calibrated set with a calibrated set of codimension 1 with singularities, and new Almgren minimal cones
Xiangyu Liang
In this paper, we prove that the product of a paired calibrated set and a set of codimension 1 calibrated by a coflat calibration with small singularity set is Almgren minimal. Thi…
Sliding stability and uniqueness for the set YXY
Xiangyu Liang
This article is dedicated to discuss the sliding stability and the uniqueness property for the 2-dimensional minimal cone YXY in R4. This problem is motivated by the classification…
On the dimension of k-medial axis for arbitrary closed set
Xiangyu Liang
We prove that the k-medial axis of an arbitrary closed set in Rn is n-k+1-rectifiable (and hence of dimension at most n-k+1). This result gives a first stratification for medial ax…