3 papers
math.LO2026
Quantitative analytic stable regularity
G. Conant, C. Terry
We prove quantitative stable regularity lemmas for binary real-valued functions, extending the work of Malliaris and Shelah for stable graphs. The statements of our results are mod…
math.CO2026
Encoding orders and trees in real-valued functions
G Conant, C Terry
We prove function-theoretic analogues of a quantitative result of Hodges on extracting the order property from a sufficiently large 2-tree coded in a binary relation. Similar analo…
math.DS2025
Stable functions and Følner's Theorem
Gabriel Conant
We show that if is an amenable group and has positive upper Banach density, then there is an identity neighborhood in the Bohr topology on that is almost…