Additive combinatorics and geometry of numbers

Research output: Paper

1 Citation (Scopus)

Abstract

We meditate on the following questions. What are the best analogs of measure and dimension for discrete sets? Howshould 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?

Original languageEnglish
Pages911-930
Number of pages20
Publication statusPublished - dec. 1 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: aug. 22 2006aug. 30 2006

Other

Other25th International Congress of Mathematicians, ICM 2006
CountrySpain
CityMadrid
Period8/22/068/30/06

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ruzsa, I. Z. (2006). Additive combinatorics and geometry of numbers. 911-930. Paper presented at 25th International Congress of Mathematicians, ICM 2006, Madrid, Spain.