Alexander Fish

collaborators

3 papers

math.CO2026

Ramsey Theory for Product Trees

Alexander Fish, Sean Skinner

We develop a Ramsey theory for leaf-generated subsets of finite products of trees. Our starting point is a Theorem of Furstenberg and Weiss which states that for every $k \geq 1$ an…

math.DS2024

Quantitative expansivity for ergodic $Z^{d}$ actions

Alexander Fish, Sean Skinner

We study expansiveness properties of positive measure subsets of ergodic $Z^{d}$ -actions along two different types of structured subsets of $Z^{d}$ , namely, cyclic su…

math.DS2024

An inverse of Furstenberg's correspondence principle and applications to nice recurrence

Alexander Fish, Sean Skinner

We prove an inverse of Furstenberg's correspondence principle stating that for all measure preserving systems $(X, μ, T)$ and $A \subset X$ measurable there exists a set $E \subset \m…

Ramsey Theory for Product Trees

Quantitative expansivity for ergodic Zd actions

An inverse of Furstenberg's correspondence principle and applications to nice recurrence

Quantitative expansivity for ergodic $Z^{d}$ actions