Xiang-Dong Li

Applied Mathematics · 2005–2013

A researcher in the Science corpus: 3 papers; trusts 21 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 26 citations into it; #998 of 7,620 by trust here, #2,480 by citations
• Geometry and Topology — 17 citations into it; #1,015 of 7,422 by trust here, #2,475 by citations
• Astronomy and Astrophysics — 10 citations into it
• Mathematical Physics — 5 citations into it

Whom Xiang-Dong Li trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. D. Bakry
2. J. Lott
3. G. Perelman
4. Elton P. Hsu
5. L. Saloff‐Coste
6. Bruce Kleiner
7. Vladimir Bogachev
8. Zhongmin Qian
9. Cédric Villani
10. Feng-Yu Wang

Who trusts Xiang-Dong Li overall

1. Kevin Brighton
2. Guangyue Huang
3. Ovidiu Munteanu
4. Yi Li
5. Jiaping Wang
6. Bing Qing Ma
7. Jia-Yong Wu
8. A. Futaki
9. Vladimir Bogachev
10. Fabrice Baudoin

Papers from Xiang-Dong Li's perspective

Ordered by how strongly the researchers Xiang-Dong Li trusts endorse each paper. Same corpus, a different order for every researcher.

1. The entropy formula for the Ricci flow and its geometric applications
2. Notes on Perelman's papers
3. Ricci curvature for metric-measure spaces via optimal transport
4. Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature☆
5. Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
6. Aspects of Sobolev-type inequalities
7. Metric Structures for Riemannian and Non-Riemannian Spaces
8. Elliptic equations for invariant measures on finite and infinite dimensional manifolds
9. Remarks on non-compact gradient Ricci solitons
10. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

Their papers

• On the first eigenvalue of the Witten–Laplacian and the diameter of compact shrinking solitons (2013) — 83 citations
• Perelman’s entropy formula for the Witten Laplacian on Riemannian manifolds via Bakry–Emery Ricci curvature (2012) — 88 citations
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds (2005) — 328 citations