• On two distributions of subgroups of free groups 

      Bassino, Frédérique; Martino, Armando; Nicaud, Cyril; Ventura Capell, Enric; Weil, Pascal (Society for Industrial and Applied Mathematics, 2010)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      We study and compare two natural distributions of finitely generated subgroups of free groups. One is based on the random generation of tuples of reduced words; that is the one classically used by group theorists. The ...
    • Stallings automata and applications : BGSMath graduate course 

      Delgado Rodríguez, Jordi; Ventura Capell, Enric; Weil, Pascal (2023-02-15)
      Report de recerca
      Accés obert
      The theory of Stallings automata provides a neat geometric representation of subgroups of the free group, and constitutes the modern —and probably the most natural and fruitful — approach to their study. Moreover, if the ...
    • Statistical properties of subgroups of free groups 

      Bassino, Frederique; Martino, Armando; Nicaud, Cyril; Ventura Capell, Enric; Weil, Pascal (2013-02-04)
      Article
      Accés obert
      The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated ...