From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE

Simple item page
dc.creatorTao, Terence
dc.date2000-08-14
dc.date.accessioned2026-07-07T04:36:46Z
dc.date.available2026-07-07T04:36:46Z
dc.descriptionWe survey the interconnections between geometric combinatorics (such as the Kakeya problem), arithmetic combinatorics (such as the classical problem of determining which sets contain arithmetic progressions), oscillatory integrals (such as the Bochner-Riesz, restriction, and local smoothing problems), and the local and global well-posedness theory for non-linear dispersive and wave equations.
dc.description32 pages, 9 figures, submitted, Notices Amer. Math. Soc. (The published version is likely to be substantially shorter)
dc.identifierhttps://arxiv.org/abs/math/0008098
dc.identifierhttp://arxiv.org/abs/math/0008098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59724
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject42B, 35L
dc.titleFrom rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE
dc.typetext

Files

Collections

arXiv