A version of Bakry-Émery Ricci flow on a finite graph
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909102533246976 |
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| author | Hua, Bobo Lin, Yong Wang, Tao |
| author_facet | Hua, Bobo Lin, Yong Wang, Tao |
| contents | 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 convergence or finite-time blow up for the Bakry-Émery Ricci flow on finite trees and circles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07475 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A version of Bakry-Émery Ricci flow on a finite graph Hua, Bobo Lin, Yong Wang, Tao Differential Geometry 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 convergence or finite-time blow up for the Bakry-Émery Ricci flow on finite trees and circles. |
| title | A version of Bakry-Émery Ricci flow on a finite graph |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2402.07475 |