Geometry of $\ell_p^n$-balls: Classical results and recent developments
Joscha Prochno, Christoph Th\"ale, Nicola Turchi
TL;DR
This survey reviews classical and recent results on the geometric properties of $\, ext{ell}_p^n$-balls, highlighting developments in understanding their structure and applications.
Contribution
It compiles and discusses both classical and recent advances in the geometry of $\, ext{ell}_p^n$-balls, providing a comprehensive overview.
Findings
Summarizes key classical results on $\, ext{ell}_p^n$-balls
Highlights recent developments and open problems
Provides insights into geometric and functional analysis applications
Abstract
This survey will appear as a chapter in the forthcoming "Proceedings of the HDP VIII Conference".
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Taxonomy
TopicsPoint processes and geometric inequalities · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology