64 citations · 420 across the 98 of their papers we have counts for
12 papers · 1 filter
Maps on random hypergraphs and random simplicial complexes
Shiquan Ren, Chengyuan Wu, Jie Wu
Let be a simplicial complex. In this paper, we study random sub-hypergraphs and random sub-complexes of . By considering the minimal complex that a sub-hypergraph can be emb…
Computational Tools in Weighted Persistent Homology
Shiquan Ren, Chengyuan Wu, Jie Wu
In this paper, we study further properties and applications of weighted homology and persistent homology. We introduce the Mayer-Vietoris sequence and generalized Bockstein spectra…
On a certain non-split cubic surface
Régis de la Bretèche, Kevin Destagnol, Jianya Liu +2
In this note, we establish an asymptotic formula for the number of rational points of bounded height on the singular cubic surface with a power-savin…
Weighted Persistent Homology
Shiquan Ren, Chengyuan Wu, Jie Wu
In this paper we develop the theory of weighted persistent homology. In 1990, Robert J. Dawson was the first to study in depth the homology of weighted simplicial complexes. We gen…
Exponential growth of homotopy groups of suspended finite complexes
Ruizhi Huang, Jie Wu
We study the asymptotic behavior of the homotopy groups of simply connected finite -local complexes, and define a space to be locally hyperbolic if its homotopy groups have expo…
Cancellation and homotopy rigidity of classical functors
Ruizhi Huang, Jie Wu
We first show that simply connected co--spaces and connected -spaces can be uniquely decomposed into prime factors in the homotopy category of pointed -local spaces of fin…