Additive combinatorics and geometry of numbers

• Autores: Imre Z. Ruzsa
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 3, 2006, ISBN 978-3-03719-022-7, págs. 911-930
• Idioma: inglés
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• Resumen

  • 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?