3 citations · 4 across the 5 of their papers we have counts for
5 papers
Sarnak's Program for Erdős Sieves. Part II: Measure Systems and Applications
Francisco Araújo
This paper is the second part of a two-part article where we generalize Sarnak's program to sets where we remove congruence classes modulo some infinite set of ideals…
Sarnak's Program for Erdős Sieves. Part I: Topological Dynamics and Light Tails
Francisco Araújo
This paper is the first part of a two-part article where we generalize Sarnak's program to sets where we remove congruence classes modulo some infinite set of ideals…
Representations of Higman-Thompson groups from Cuntz algebras
Francisco Araújo, Paulo R. Pinto
Every representation of the Cuntz algebra leads to a unitary representation of the Higman-Thompson group . We consider the family of per…
Commutativity theorems for groups and semigroups
Francisco Araújo, Michael Kinyon
In this note we prove a selection of commutativity theorems for various classes of semigroups. For instance, if in a separative or completely regular semigroup we have $x^p y^p…
-free integers in number fields and dynamics
Francisco Araújo, Aurelia Dymek, Joanna Kułaga-Przymus
In 2010, Sarnak initiated the study of the dynamics of the system determined by the square of the Möbius function (the characteristic function of the square-free integers). We deal…