Andreu Ferr'e Moragues

activity

20202026

collaborators

6 papers

math.CO2026

Partition regularity in imaginary quadratic rings of integers

Sebastián Donoso, Andreu Ferré Moragues, Andreas Koutsogiannis +1

We obtain partition regularity results for homogeneous quadratic equations whose parametrized solutions admit nice factorizations into linear forms over rings of integers of imagin…

math.DS2025

Furstenberg systems of certain sequences of superpolynomial growth

Andreu Ferré Moragues, Andreas Koutsogiannis

We give examples of sequences defined by smooth functions of intermediate growth, and we study the Furstenberg systems that model their statistical behavior. In particular, we show…

math.DS2021

Polynomial ergodic averages for certain countable ring actions

Andrew Best, Andreu Ferré Moragues

A recent result of Frantzikinakis establishes sufficient conditions for joint ergodicity in the setting of $Z$ -actions. We generalize this result for actions of second-cou…

math.DS2020

Properties of multicorrelation sequences and large returns under some ergodicity assumptions

Andreu Ferré Moragues

We prove that given a measure preserving system $(X, B, μ, T_{1}, \dots, T_{d})$ with commuting, ergodic transformations $T_{i}$ such that $T_{i} T_{j}^{- 1}$ are ergodic for all $i \neq…

math.DS2020

Uniqueness of a Furstenberg system

Vitaly Bergelson, Andreu Ferré Moragues

Given a countable amenable group $G$ , a Følner sequence $(F_{N}) \subseteq G$ , and a set $E \subseteq G$ with $d ˉ_{(F_{N})} (E) = lim sup_{N \to \infty} \frac{∣ E \cap F _{N} ∣}{∣ F _{N} ∣} > 0$ …

math.DS2020

An ergodic correspondence principle, invariant means and applications

Vitaly Bergelson, Andreu Ferré Moragues

A theorem due to Hindman states that if $E$ is a subset of $N$ with $d^{*} (E) > 0$ , where $d^{*}$ denotes the upper Banach density, then for any $ε > 0$ there exists $N…