An Incidence Result for Well-Spaced Atoms in all Dimensions

2020/09/24 by Peter Bradshaw, Bradshaw, Peter · 1 citation
Physics and Astronomy · Engineering · #Quantum Mechanics and Applications #Cold Atom Physics and Bose-Einstein Condensates #Advanced Materials Characterization Techniques

paper · pdf · doi:10.48550/arxiv.2009.11765

Abstract

We prove an incidence result counting the k-rich δ-tubes induced by a well-spaced set of δ-atoms. Our result coincides with the bound that would be heuristically predicted by the Szemerédi--Trotter Theorem and holds in all dimensions d ≥ 2.

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