4 citations · 8 across the 6 of their papers we have counts for
8 papers
Riesz transforms for Dirichlet spaces tamed by distributional curvature lower bounds
Syota Esaki, Zi Jian Xu, Kazuhiro Kuwae
The notion of tamed Dirichlet space was proposed by Erbar, Rigoni, Sturm and Tamanini as a Dirichlet space having a weak form of Bakry-Émery curvature lower bounds in distribution…
Faster Detours in Undirected Graphs
Shyan Akmal, Virginia Vassilevska Williams, Ryan Williams +1
The -Detour problem is a basic path-finding problem: given a graph on vertices, with specified nodes and , and a positive integer , the goal is to determine if…
The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds
Syota Esaki, Kazuhiro Kuwae, Zi Jian Xu
The notion of tamed Dirichlet space by distributional lower Ricci curvature bounds was proposed by Erbar--Rigoni--Sturm--Tamanini as the Dirichlet space having a weak form of Bakry…
New Bounds for Matrix Multiplication: from Alpha to Omega
Virginia Vassilevska Williams, Yinzhan Xu, Zixuan Xu +1
The main contribution of this paper is a new improved variant of the laser method for designing matrix multiplication algorithms. Building upon the recent techniques of [Duan, Wu,…
Electrical networks and the Grove algebra
Yibo Gao, Thomas Lam, Zixuan Xu
We study the ring of regular functions on the space of planar electrical networks, which we coin the grove algebra. This algebra is an electrical analogue of the Plücker ring studi…
Dihedral Sieving on Cluster Complexes
Zachary Stier, Julian Wellman, Zixuan Xu
The cyclic sieving phenomenon of Reiner, Stanton, and White characterizes the stabilizers of cyclic group actions on finite sets using q-analogue polynomials. Eu and Fu demonstrate…
On Virtually Cohen-Macaulay Simplicial Complexes
Nathan Kenshur, Feiyang Lin, Sean McNally +2
We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtuall…
Extended Nestohedra and their Face Numbers
Quang Dao, Christina Meng, Julian Wellman +3
Nestohedra are a family of convex polytopes that includes permutohedra, associahedra, and graph associahedra. In this paper, we study an extension of such polytopes, called extende…