Now showing items 1-4 of 4

    • Counting configuration-free sets in groups 

      Rué Perna, Juan José; Serra Albó, Oriol; Vena Cros, Lluís (2017-01-01)
      Article
      Open Access
      © 2017 Elsevier Ltd. We provide asymptotic counting for the number of subsets of given size which are free of certain configurations in finite groups. Applications include sets without solutions to equations in non-abelian ...
    • Counting configuration–free sets in groups 

      Rué Perna, Juan José; Serra Albó, Oriol; Vena Cros, Lluís (2015)
      Conference lecture
      Restricted access - publisher's policy
      We present a unified framework to asymptotically count the number of sets, with a given cardinality, free of certain configurations. This is done by combining the hypergraph containers methodology joint with arithmetic ...
    • The regularity Lemma in additive combinatorics 

      Vena Cros, Lluís (Universitat Politècnica de Catalunya, 2007)
      Master thesis
      Open Access
      The Szemerédi Regularity Lemma (SzRL) was introduced by Endré Szemerédi in his celebrated proof of the density version of Van der Waerden Theorem, namely, that a set of integers with positive density contains arbitrarily ...
    • The Removal Lemma: algebraic versions and applications 

      Vena Cros, Lluís (Universitat Politècnica de Catalunya, 2012-07-02)
      Doctoral thesis
      Open Access
      This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More specifically, it deals with the interaction between combinatorics, number theory and additive combinatorics. This area ...