2 papers
math.LO2026
On n-distality, n-triviality and hypergraph regularity in NIP theories
Artem Chernikov, Francis Westhead
We study Keisler measures in strongly n-distal NIP theories, generalizing some results of Simon and Chernikov-Starchenko for distal theories and addressing some questions of Walker…
math.CO2025
Exact VC-Dimensions of Certain Geometric Set Systems
Pantelis E. Eleftheriou, Aris Papadopoulos, Francis Westhead
The VC-dimension of a family of sets is a measure of its combinatorial complexity used in machine learning theory, computational geometry, and even model theory. Computing the VC-d…