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The Erdős Distance Problem
Julia Garibaldi, Alex Iosevich and Steven Senger
Table of Contents
- Introduction
- The $\sqrt{n}$ theory
- The $n^{2/3}$ theory
- The Cauchy-Schwarz inequality
- Graph theory and incidences
- The $n^{4/5}$ theory
- The $n^{6/7}$ theory
- Beyond $n^{6/7}$
- Information theory
- Dot products
- Vector spaces over finite fields
- Distances in vector spaces over finite fields
- Applications of the Erdős distance problem
- Hyperbolas in the plane
- Basic probability theory
- Jensen's inequality
- Bibliography
- Biographical information
- Index of terminology