Shiping Liu
Geometry and Topology · 2009–2016
A researcher in the Science corpus: 6 papers; trusts 24 researchers and is trusted by 8 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 38 citations into it; #2,403 of 7,422 by trust here, #3,228 by citations
- Applied Mathematics — 36 citations into it; #3,749 of 7,620 by trust here, #3,794 by citations
- Algebra and Number Theory — 10 citations into it; #1,381 of 2,864 by trust here, #2,392 by citations
- Astronomy and Astrophysics — 10 citations into it; #10,171 of 10,964 by trust here, #9,988 by citations
- Computational Theory and Mathematics — 9 citations into it
- Mathematical Physics — 9 citations into it
- Statistical and Nonlinear Physics — 7 citations into it; #5,052 of 10,127 by trust here, #9,324 by citations
Whom Shiping Liu trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Yong Lin
- Bennett Chow
- Yann Ollivier
- Florentin Münch
- Dan Knopf
- Jie Xiao
- Peter Jørgensen
- I. Reiten
- Bo'az Klartag
- Cédric Villani
Who trusts Shiping Liu overall
Papers from Shiping Liu's perspective
Ordered by how strongly the researchers Shiping Liu trusts endorse each paper. Same corpus, a different order for every researcher.
- On the geometry of metric measure spaces. II
- Ricci curvature for metric-measure spaces via optimal transport
- Ricci curvature of Markov chains on metric spaces
- Topics in Optimal Transportation
- On the measure contraction property of metric measure spaces
- Noetherian hereditary abelian categories satisfying Serre duality
- Harnack inequalities for graphs with non-negative Ricci curvature
- A survey of Ricci curvature for metric spaces and Markov chains
- Mass transportation and rough curvature bounds for discrete spaces
- Landau's inequalities for tournament scores and a short proof of a theorem on transitive sub-tournaments
Their papers
- Bakry–Émery Curvature Functions on Graphs (2016) — 55 citations
- Bakry–Émery curvature and diameter bounds on graphs (2016) — 63 citations
- Representation theory of strongly locally finite quivers (2013) — 51 citations
- Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator (2011) — 146 citations
- Auslander-Reiten theory in a Krull-Schmidt category (2010) — 72 citations
- Gradient estimates for solutions of the heat equation under Ricci flow (2009) — 55 citations