Additive combinatorics and geometry of numbers
Imre Z. Ruzsa · Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 · 2007
We meditate on the following questions. What are the best analogs of measure and dimension for discrete sets? How should a discrete analogue of the Brunn–Minkowski inequality look like? And back to the continuous case, are we happy with the usual concepts of measure and dimension for studying the addition of sets?