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- Gaoyong Zhang

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
6,657
57
World Ranking
1871
National Ranking
802

2013 - Fellow of the American Mathematical Society

- Geometry
- Mathematical analysis
- Euclidean space

His primary areas of investigation include Minkowski problem, Mathematical analysis, Pure mathematics, Minkowski's theorem and Combinatorics. His Minkowski problem research entails a greater understanding of Regular polygon. His research integrates issues of Invariant and Projection body in his study of Regular polygon.

His Mathematical analysis research includes elements of Orthogonal convex hull, Ellipsoid method and Minkowski space. His Pure mathematics study combines topics from a wide range of disciplines, such as Conformal map and Inequality. His Combinatorics research is multidisciplinary, relying on both Convex conjugate, Choquet theory, Convex body and Convex set.

- Lp affine isoperimetric inequalities (352 citations)
- The logarithmic Minkowski problem (227 citations)
- Sharp Affine LP Sobolev Inequalities (224 citations)

His primary scientific interests are in Mathematical analysis, Pure mathematics, Minkowski problem, Combinatorics and Convex body. His Mathematical analysis study combines topics in areas such as Minkowski space, Dual and Regular polygon. His Pure mathematics study integrates concerns from other disciplines, such as Inequality and Linear inequality.

His Minkowski's theorem research extends to the thematically linked field of Minkowski problem. Gaoyong Zhang combines subjects such as Entropy, Rényi entropy and Geometry with his study of Combinatorics. His study in the field of Mixed volume is also linked to topics like Ellipsoid.

- Mathematical analysis (55.00%)
- Pure mathematics (43.33%)
- Minkowski problem (33.33%)

- Mathematical analysis (55.00%)
- Minkowski problem (33.33%)
- Curvature (8.33%)

Gaoyong Zhang spends much of his time researching Mathematical analysis, Minkowski problem, Curvature, Convex body and Regular polygon. His studies in Mathematical analysis integrate themes in fields like Convex function, Conditional entropy and Applied mathematics. His Minkowski problem study frequently links to adjacent areas such as Minkowski inequality.

His research on Curvature also deals with topics like

- Unit sphere which intersects with area such as Entropy, Dual, Surface and Dual polyhedron,
- Measure which intersects with area such as Pure mathematics, Order, Extension, Minkowski addition and Minkowski space. His study on Isoperimetric inequality is often connected to Volume as part of broader study in Pure mathematics. His Convex body study frequently draws connections to adjacent fields such as Minkowski's theorem.

- Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems (115 citations)
- Lp dual curvature measures (53 citations)
- Affine images of isotropic measures (49 citations)

- Geometry
- Mathematical analysis
- Euclidean space

Gaoyong Zhang mostly deals with Mathematical analysis, Minkowski problem, Curvature, Measure and Affine geometry. His study in the field of Borel measure also crosses realms of Classical theory. His study in Borel measure is interdisciplinary in nature, drawing from both Minkowski addition, Minkowski space, Minkowski's theorem, Pure mathematics and Convex body.

His Classical theory research incorporates elements of Dual polyhedron, Surface, Unit sphere and Dual. His Affine geometry research integrates issues from Affine plane, Affine combination and Affine coordinate system. His research on Affine space frequently connects to adjacent areas such as Affine group.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Lp Affine Isoperimetric Inequalities

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of Differential Geometry **(2000)**

564 Citations

Lp Affine Isoperimetric Inequalities

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of Differential Geometry **(2000)**

564 Citations

Blaschke-Santaló inequalities

Erwin Lutwak;Gaoyong Zhang.

Journal of Differential Geometry **(1997)**

346 Citations

Blaschke-Santaló inequalities

Erwin Lutwak;Gaoyong Zhang.

Journal of Differential Geometry **(1997)**

346 Citations

Sharp Affine LP Sobolev Inequalities

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of Differential Geometry **(2002)**

322 Citations

Sharp Affine LP Sobolev Inequalities

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of Differential Geometry **(2002)**

322 Citations

On the _{}-Minkowski problem

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Transactions of the American Mathematical Society **(2003)**

294 Citations

On the _{}-Minkowski problem

Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Transactions of the American Mathematical Society **(2003)**

294 Citations

The logarithmic Minkowski problem

Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of the American Mathematical Society **(2012)**

276 Citations

The logarithmic Minkowski problem

Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang.

Journal of the American Mathematical Society **(2012)**

276 Citations

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