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  1. ; ; (, Forum of Mathematics, Sigma)
    Donoso, S; Koutsogiannis, A; Sun, W (Ed.)
    Abstract We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems. 
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    Free, publicly-accessible full text available February 5, 2026
  2. ; ; (, Israel Journal of Mathematics)
    Abstract We provide necessary and sufficient conditions for joint ergodicity results for systems of commuting measure preserving transformations for an iterated Hardy field function of polynomial growth. Our method builds on and improves recent techniques due to Frantzikinakis and Tsinas, who dealt with multiple ergodic averages along Hardy field functions; it also enhances an approach introduced by the authors and Ferré Moragues to study polynomial iterates. The more general expression, in which the iterate is a linear combination of a Hardy field function of polynomial growth and a tempered function, is studied as well. 
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    Free, publicly-accessible full text available February 17, 2026