Shouhei Honda

Applied Mathematics · 2012–2017

A researcher in the Science corpus: 4 papers; trusts 31 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 91 citations into it; #4,201 of 7,620 by trust here, #3,589 by citations
• Astronomy and Astrophysics — 39 citations into it
• Geometry and Topology — 39 citations into it; #4,616 of 7,422 by trust here, #3,959 by citations
• Mathematical Physics — 14 citations into it
• Computational Theory and Mathematics — 8 citations into it

Whom Shouhei Honda trusts overall

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

1. K. Kuwae
2. Nicola Gigli
3. Luigi Ambrosio
4. Yu Ding
5. T. Shioya
6. Karl‐Theodor Sturm
7. J. Lott
8. Nageswari Shanmugalingam
9. Cédric Villani
10. Hui-Chun Zhang

Who trusts Shouhei Honda overall

1. Luigi Ambrosio
2. Elia Brué

Papers from Shouhei Honda's perspective

Ordered by how strongly the researchers Shouhei Honda trusts endorse each paper. Same corpus, a different order for every researcher.

1. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
2. On the geometry of metric measure spaces. II
3. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces
4. Ricci curvature for metric-measure spaces via optimal transport
5. On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces
6. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
7. A Convexity Principle for Interacting Gases
8. Metric Structures for Riemannian and Non-Riemannian Spaces
9. Yau's gradient estimates on Alexandrov spaces
10. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION

Their papers

• Local spectral convergence in RCD∗(K,N) spaces (2017) — 63 citations
• Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K, N)$-spaces (2017) — 62 citations
• New stability results for sequences of metric measure spaces with uniform Ricci bounds from below (2016) — 106 citations
• Ricci curvature and $L^p$-convergence (2012) — 63 citations