273 citations · 1.3k across the 50 of their papers we have counts for
4 papers · 1 filter
Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations
Xianfeng Gu, Feng Luo, Jian Sun +1
In this paper, we develop several related finite dimensional variational principles for discrete optimal transport (DOT), Minkowski type problems for convex polytopes and discrete…
On the Holonomic Rank Problem
Spencer Bloch, An Huang, Bong H. Lian +2
A tautological system, introduced in \cite{LSY}\cite{LY}, arises as a regular holonomic system of partial differential equations that govern the period integrals of a family of com…
A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of -semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold
Chien-Hao Liu, Shing-Tung Yau
In a suitable regime of superstring theory, D-branes in a Calabi-Yau space and their most fundamental behaviors can be nicely described mathematically through morphisms from Azumay…
Ricci-flat graphs with girth at least five
Yong Lin, Linyuan Lu, S. -T. Yau
A graph is called Ricci-flat if its Ricci-curvatures vanish on all edges. Here we use the definition of Ricci-cruvature on graphs given in [Lin-Lu-Yau, Tohoku Math., 2011], which i…