Research profile

Zhiyu Wang

Works on discrete & graph Ricci, stability & uniqueness and Ricci flow.

NP-RC-557432

3
topics
4
co-authors
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Discrete & graph RicciStability & uniquenessRicci flow

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Frequent co-authors of Zhiyu Wang Zhiyu Wang in the centre and 4 co-authors around them, closer for more joint papers on this site. Wang Linyuan Lu: 1 joint workLLLu Shing-Tung Yau: 1 joint workSYYau Shuliang Bai: 1 joint workSBBai Yong Lin: 1 joint workYLLin
Closer to the centre: more joint work here. have also written together
  1. Linyuan Lu

    1 joint worklatest 2020

  2. Shing-Tung Yau

    1 joint worklatest 2020

  3. Shuliang Bai

    1 joint worklatest 2020

  4. Yong Lin

    1 joint worklatest 2020

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Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGv9arXiv:2010.01802

Ollivier Ricci-flow on weighted graphs

Shuliang Bai, Yong Lin, Linyuan Lu + 2 more

We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by in which the discrete time Ricci flow algorithm has been applied successfully as a discrete geometric approach in detecting complex networks. Our main result is the existence and uniqueness theorem for solutions to a continuous time normalized Ricci flow. We also display possible solutions to the Ricci flow on path graph and prove the Ricci flow on finite star graph with at least three leaves converges to constant-weighted star.

Ricci flowStability & uniquenessDiscrete & graph Ricci
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NP-RC-557432 is Zhiyu Wang's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.