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math.DG2026
The Ollivier Ricci flow with prescribed curvature on infinite graphs
Bobo Hua, Yong Lin, Shuang Liu
In this paper, we consider the Ricci flow with prescribed curvature on infinite graphs, which reads as \begin{equation*}\label{flow-equation3} \frac{d}{dt}ω(t)=-(κ(t)-κ^*)ω(t),~~ t…
math.DG2025
On the Ricci flow on Trees
Shuliang Bai, Bobo Hua, Yong Lin +1
In this paper, we study the evolution of metrics on finite trees under continuous-time Ricci flows based on the Lin-Lu-Yau version of Ollivier Ricci curvature. We analyze long-time…
math.DG2024
A version of Bakry-Émery Ricci flow on a finite graph
Bobo Hua, Yong Lin, Tao Wang
In this paper, we study the Bakry-Émery Ricci flow on finite graphs. Our main result is the local existence and uniqueness of solutions to the Ricci flow. We prove the long-time co…