4 papers
Generically stable Keisler measures
Gabriel Conant, Kyle Gannon, James E. Hanson
Given a first-order theory (in discrete or continuous logic) and a Borel-definable global Keisler measure in , we show that the following conditions are equivalent: $(i)…
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…
VC-dimension of generalized progressions in some nonabelian groups
Gabriel Conant, Aycin Iplikci Arodirik, Tora Ozawa +1
We analyze generalized progressions in some nonabelian groups using a measure of complexity called VC-dimension, which was originally introduced in statistical learning theory by V…
Remarks on generic stability in independent theories
Gabriel Conant, Kyle Gannon
In NIP theories, generically stable Keisler measures can be characterized in several ways. We analyze these various forms of "generic stability" in arbitrary theories. Among other…