1 citations · 1 across the 5 of their papers we have counts for
6 papers
Infinite prime sumsets in structured and -uniform sets
Felipe Hernández, Tristán Radić
By introducing new ergodic-theoretic techniques in nilsystems, we determine which infinite sumset configurations occur in -uniform and Nil-Bohr sets. To be more precise, ou…
Infinite sumsets in -uniform sets
Tristán Radić
Extending recent developments of Kra, Moreira, Richter and Roberson, we study infinite sumset patterns in -uniform subsets of the integers, defined via the local uniformity…
On density analogs of Hindman's finite sums theorem
Felipe Hernández, Ioannis Kousek, Tristán Radić
For any set of natural numbers with positive upper Banach density, we show the existence of an infinite set and sequences …
Infinite unrestricted sumsets in subsets of abelian groups with large density
Dimitrios Charamaras, Ioannis Kousek, Andreas Mountakis +1
Let be a countable abelian group such that the subgroup has finite index and the doubling map has finite kernel. We establish lower bo…
Multiple partial rigidity rates in low complexity subshifts
Tristán Radić
Partial rigidity is a quantitative notion of recurrence and provides a global obstruction which prevents the system from being strongly mixing. A dynamical system $(X, \mathcal{X},…
Infinite unrestricted sumsets of the form in sets with large density
Ioannis Kousek, Tristán Radić
For a set we characterize in terms of its density when there exists an infinite set and such that , w…