Additive combinatorics and geometry of numbers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationInternational Congress of Mathematicians, ICM 2006
Pages911-930
Number of pages20
Volume3
Publication statusPublished - 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

Fingerprint

Additive Combinatorics
Geometry of numbers
Brunn-Minkowski Inequality
Analogue

Keywords

  • Additive combinatorics
  • Lattice points
  • Sumsets
  • Volume

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ruzsa, I. (2006). Additive combinatorics and geometry of numbers. In International Congress of Mathematicians, ICM 2006 (Vol. 3, pp. 911-930)

Additive combinatorics and geometry of numbers. / Ruzsa, I.

International Congress of Mathematicians, ICM 2006. Vol. 3 2006. p. 911-930.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ruzsa, I 2006, Additive combinatorics and geometry of numbers. in International Congress of Mathematicians, ICM 2006. vol. 3, pp. 911-930, 25th International Congress of Mathematicians, ICM 2006, Madrid, Spain, 8/22/06.
Ruzsa I. Additive combinatorics and geometry of numbers. In International Congress of Mathematicians, ICM 2006. Vol. 3. 2006. p. 911-930
Ruzsa, I. / Additive combinatorics and geometry of numbers. International Congress of Mathematicians, ICM 2006. Vol. 3 2006. pp. 911-930
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