Su Gao

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math.LO2026

Strong marker sets for arbitrary generating sets

Su Gao, Tianhao Wang

We prove the existence of clopen strong marker sets in $F (2^{Z^{n}})$ for arbitrary finite generating sets. Specifically, for any positive integers $n, d_{0} \geq 1$ and any fi…

math.LO2024

Borel Combinatorics of Abelian Group Actions

Su Gao, Steve Jackson, Edward Krohne +1

We study the free part of the Bernoulli action of $Z^{n}$ for $n \geq 2$ and the Borel combinatorics of the associated Schreier graphs. We construct orthogonal decompositions…