Phenomena arising from high dimensionality

DOI10.1070/RM2004V059N01ABEH000706zbMath1079.46005OpenAlexW2027125677MaRDI QIDQ4829847

Vitali D. Milman

Publication date: 1 December 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2004v059n01abeh000706

zbMATH Keywords

phase transitionconvex bodiesasymptotic theorythresholdSteiner symmetrizationMinkowski symmetrizationconcentration phenomenonfinite-dimensional normed spacehigh dimensional objects

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)

Related Items (1)

Multidimensional Geometry, Functions of Very Many Variables, and Probability

This page was built for publication: Phenomena arising from high dimensionality