Discrete analogues of Kakeya problems

Doctoral thesis, Preprint English OPEN
Iliopoulou, Marina (2013)
  • Publisher: The University of Edinburgh
  • Subject: algebraic curves | Mathematics - Combinatorics | joints problem | Mathematics - Classical Analysis and ODEs | Mathematics - Algebraic Geometry | Kakeya problem

This thesis investigates two problems that are discrete analogues of two harmonic analytic problems which lie in the heart of research in the field. More specifically, we consider discrete analogues of the maximal Kakeya operator conjecture and of the recently solved en... View more
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