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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 an…
math.DS2026
Primitive Averages, Directional Expansivity, and Quantitative Twisted Recurrence for Ergodic -Actions
Rickard Cullman, Sean Skinner
We prove two new results about probability preserving actions . First, for a function , we provide an explicit formula for the $…