Degree reduction and graininess for Kakeya-type sets in R[superscript 3]
Let T be a set of cylindrical tubes in ℝ[superscrpit 3] of length N and radius 1. If the union of the tubes has volume N[superscript 3-σ], and each point in the union lies in tubes pointing in three quantitatively different directions, and if a technical assumption holds, then at scale N[superscript...
Main Author: | Guth, Lawrence |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Published: |
European Mathematical Publishing House
2018
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Online Access: | http://hdl.handle.net/1721.1/115569 https://orcid.org/0000-0002-1302-8657 |
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