Advances in Convex Geometry and Analysis

Dear Colleagues,

Convex geometric analysis is the subject that studies geometric structures and invariants of convex sets using both geometric and analytic methods. Results from the convex geometric analysis have been applied in numerous mathematical disciplines: stochastic geometry, integral geometry, differential geometry, Minkowski and Finsler geometry, combinatorial geometry, algebraic geometry, non-linear partial differential equations, especially the Monge–Ampere equations, number theory, Banach space theory, probability and multivariate statistics.

The aim of this Special Issue is to collate original and high-quality research and review articles related to the development of and applications in convex geometry and analysis. We also hope to attract review articles which describe the current state of the art within this field.

Potential topics include, but are not limited to, the following:

• Geometric inequalities, isoperimetric inequalities;
• Minkowski type problem;
• Differential and integral equations;
• The completeness of weighted Lp spaces;
• Banach space theory;
• Differential geometry;
• Discrete geometry.

We look forward to receiving your contributions.

Prof. Dr. Baocheng Zhu
Prof. Dr. Senlin Wu
Prof. Dr. Jingbo Dou
Dr. Wenxue Xu
Guest Editors

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