Discrete analogues of Kakeya problems
 Publisher: The University of Edinburgh

Subject: algebraic curves  Mathematics  Combinatorics  joints problem  Mathematics  Classical Analysis and ODEs  Mathematics  Algebraic Geometry  Kakeya problem

References
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6 Transversality of more general curves 77 6.1 Joints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 6.2 Multijoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 L. Guth, 'The endpoint case of the BennettCarberyTao multilinear Kakeya conjecture', Acta Mathematica 205 (2010) 263286.
L. Guth, N. H. Katz, 'Algebraic Methods in Discrete Analogs of the Kakeya Problem', Adv. Math. 225, no. 5 (2010) 28282839.
L. Guth, N. H. Katz, 'On the Erd˝os distinct distance problem in the plane', arXiv:1011.4105v3 (2010).
M. Iliopoulou, 'Counting joints with multiplicities', Proceedings of the London Mathematical Society 106, no. 3 (2013) 675702 [KMS11] H. Kaplan, J. Matouˇsek, M. Sharir, 'Simple Proofs of Classical Theorems in Discrete Geometry via the GuthKatz Polynomial Partitioning Technique', Discrete Comput. Geom. 48, no. 3 (2012) 499517.

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