Andreu Ferr'e Moragues

collaborators

3 papers

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…