2 papers
math.LO2024
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem
Sohail Farhangi, Steve Jackson, Bill Mance
We show that several sets of interest arising from the study of partition regularity and density Ramsey theory of polynomial equations over integral domains are undecidable. In par…
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 for and the Borel combinatorics of the associated Schreier graphs. We construct orthogonal decompositions…