3 papers
math.LO2025
Stability, corners, and other 2-dimensional shapes
Amador Martin-Pizarro, Daniel Palacin, Julia Wolf
We introduce a relaxation of stability, called almost sure stability, which is insensitive to perturbations by subsets of Loeb measure in a non-standard finite group. We show t…
math.CO2025
Higher-order generalizations of stability and arithmetic regularity
C. Terry, J. Wolf
We define a natural notion of higher order stability and show that subsets of that are tame in this sense can be approximately described by a union of low-complexi…
math.CO2025
Irregular triads in 3-uniform hypergraphs
C. Terry, J. Wolf
Over the past several years, numerous authors have explored model theoretically motivated combinatorial conditions that ensure that a graph has an efficient regular decomposition i…