Zoltán M. Balogh

Applied Mathematics · 2000–2020

A researcher in the Science corpus: 13 papers; trusts 38 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 59 citations into it; #640 of 7,620 by trust here, #699 by citations
• Geometry and Topology — 31 citations into it; #961 of 7,422 by trust here, #993 by citations
• Mathematical Physics — 21 citations into it
• Astronomy and Astrophysics — 11 citations into it; #9,889 of 10,964 by trust here, #9,390 by citations
• Computational Theory and Mathematics — 10 citations into it

Whom Zoltán M. Balogh trusts overall

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

1. Emanuel Milman
2. M. Bonk
3. Thomas Bieske
4. X. Cabré
5. Scott D. Pauls
6. Luigi Ambrosio
7. S. Brendle
8. Mattia Fogagnolo
9. Francesco Serra Cassano
10. J. Lott

Who trusts Zoltán M. Balogh overall

1. W. Cohn
2. Jih-Hsin Cheng
3. G. Lu
4. Francesco Serra Cassano
5. Nguyen Huong Lam
6. Bruno Franchi
7. Jeremy T. Tyson
8. Jenn-Fang Hwang
9. Valentino Magnani
10. Scott D. Pauls

Papers from Zoltán M. Balogh's perspective

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

1. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
2. Rectifiable sets in metric and Banach spaces
3. Ricci curvature for metric-measure spaces via optimal transport
4. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
5. Minimal surfaces in pseudohermitian geometry
6. A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
7. A Convexity Principle for Interacting Gases
8. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
9. Polar factorization of maps on Riemannian manifolds
10. Properly embedded and immersed minimal surfaces in the Heisenberg group (Bulletin of the Australian Mathematical Society)

Their papers

• Projection and slicing theorems in Heisenberg groups (2012) — 51 citations
• Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature (2020) — 73 citations
• Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the Heisenberg group (2016) — 48 citations
• Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups (2009) — 74 citations
• Absolute Continuity of Quasiconformal Mappings on Curves (2007) — 52 citations
• Size of characteristic sets and functions with prescribed gradient (2003) — 152 citations
• Geometric characterizations of Gromov hyperbolicity (2003) — 117 citations
• Fundamental solution for the Q-Laplacian and sharp Moser–Trudinger inequality in Carnot groups (2003) — 51 citations
• Regularity of convex functions on Heisenberg groups (2003) — 60 citations
• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric (2003) — 49 citations
• Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups (2002) — 47 citations
• Polar coordinates in Carnot groups (2002) — 81 citations
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains (2000) — 152 citations