52 citations · 96 across the 22 of their papers we have counts for
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Bounds on the Ricci curvature and solutions to the Einstein equations for weighted graphs
An Huang, Bogdan Stoica, Xuyang Xia +1
This is a preliminary study of the equation of motion of Euclidean classical gravity on a graph, based on the Lin-Lu-Yau Ricci curvature on graphs. We observe that the constant edg…
From -adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces
An Huang, Dan Mao, Bogdan Stoica
We introduce the -adic particle-in-a-box as a free particle with periodic boundary conditions in the -adic spatial domain. We compute its energy spectrum, and show that the s…
On the Sum of Ricci-Curvatures for Weighted Graphs
Shuliang Bai, An Huang, Linyuan Lu +1
In this paper, we generalize Lin-Lu-Yau's Ricci curvature to weighted graphs and give a simple limit-free definition. We prove two extremal results on the sum of Ricci curvatures f…
Green's Functions for Vladimirov Derivatives and Tate's Thesis
An Huang, Bogdan Stoica, Shing-Tung Yau +1
Given a number field with a Hecke character , for each place we study the free scalar field theory whose kinetic term is given by the regularized Vladimirov derivative a…