Andrea Mondino

Applied Mathematics · 2012–2019

A researcher in the Science corpus: 16 papers; trusts 59 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 336 citations into it; #405 of 7,620 by trust here, #169 by citations
• Geometry and Topology — 214 citations into it; #2,556 of 7,422 by trust here, #968 by citations
• Astronomy and Astrophysics — 160 citations into it; #2,239 of 10,964 by trust here, #4,523 by citations
• Computational Theory and Mathematics — 18 citations into it; #10,595 of 12,182 by trust here, #6,463 by citations
• Mathematical Physics — 18 citations into it
• Genetics — 17 citations into it
• Optimization & Training — 13 citations into it
• Radiology, Nuclear Medicine and Imaging — 5 citations into it

Whom Andrea Mondino trusts overall

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

1. Karl‐Theodor Sturm
2. Nicola Gigli
3. Cédric Villani
4. J. Lott
5. Luigi Ambrosio
6. T. Rajala
7. Kathrin Bacher
8. Fabio Cavalletti
9. Shin-ichi Ohta
10. Giuseppe Savar'e

Who trusts Andrea Mondino overall

1. Fabio Cavalletti
2. Luigi Ambrosio
3. Nicola Gigli
4. Elia Brué
5. Enrico Pasqualetto
6. V. Kapovitch
7. Guido De Philippis
8. Emanuel Milman
9. Renjin Jiang
10. Shouhei Honda

Papers from Andrea Mondino's perspective

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

1. On the geometry of metric measure spaces. II
2. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
3. A Convexity Principle for Interacting Gases
4. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
5. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces
6. Topics in Optimal Transportation
7. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
8. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
9. Ricci curvature of Markov chains on metric spaces
10. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION

Their papers

• On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of $$\mathsf{RCD}^*(K,N)$$RCD∗(K,N) Metric Measure Spaces (2016) — 82 citations
• On the topology and the boundary of N–dimensional RCD(K,N) spaces (2019) — 61 citations
• New formulas for the Laplacian of distance functions and applications (2018) — 69 citations
• On quotients of spaces with Ricci curvature bounded below (2017) — 49 citations
• On the volume measure of non-smooth spaces with Ricci curvature bounded below (2016) — 86 citations
• Optimal maps in essentially non-branching spaces (2016) — 66 citations
• Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds (2015) — 105 citations
• Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds (2015) — 185 citations
• Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces (2015) — 187 citations
• Structure theory of metric measure spaces with lower Ricci curvature bounds (2014) — 212 citations
• Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below (2013) — 65 citations
• Li–Yau and Harnack type inequalities in RCD∗(K,N) metric measure spaces (2013) — 76 citations
• Convergence of pointed non‐compact metric measure spaces and stability of Ricci curvature bounds and heat flows (2013) — 286 citations
• On the Bakry-\'Emery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces (2013) — 126 citations
• Willmore spheres in compact Riemannian manifolds (2012) — 51 citations
• Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure (2012) — 253 citations