Rué Perna, Juan José; Serra Albó, Oriol; Vena Cros, Lluís (2017-01-01)
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 ...
Rué Perna, Juan José; Serra Albó, Oriol; Vena Cros, Lluís (2015)
Restricted access - publisher's policyWe 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 ...
Vena Cros, Lluís (Universitat Politècnica de Catalunya, 2007)
Open AccessThe 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 ...
Vena Cros, Lluís (Universitat Politècnica de Catalunya, 2012-07-02)
Open AccessThis 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 ...