5 citations · 10 across the 10 of their papers we have counts for
12 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)…
Model theory of convolution algebras
Alexander Berenstein, Kyle Gannon, Shichang Song
This paper deals with the model theory of convolution algebras for locally compact groups , seen as Banach lattices equipped with the convolution product . We fi…
Generic stability, randomizations, and NIP formulas
Gabriel Conant, Kyle Gannon, James E. Hanson
We prove a number of results relating the concepts of Keisler measures, generic stability, randomizations, and NIP formulas. Among other things, we do the following: (1) We introdu…
Concerning Keisler Measures over ultraproducts
Kyle Gannon
As consequence of the VC theorem, any pseudo-finite measure over an NIP ultraproduct is generically stable. We demonstrate a converse of this theorem and prove that any finitely ap…
An invitation to extension domination
Kyle Gannon, Jinhe Ye
Motivated by the theory of domination for types, we introduce a notion of domination for Keisler measures called extension domination. We argue that this variant of domination beha…
Definable convolution and idempotent Keisler measures II
Artem Chernikov, Kyle Gannon
We study convolution semigroups of invariant/finitely satisfiable Keisler measures in NIP groups. We show that the ideal (Ellis) subgroups are always trivial and describe minimal l…
Associativity of the Morley product of invariant measures in NIP theories
Gabriel Conant, Kyle Gannon
In light of a gap found by Krupiński, we give a new proof of associativity for the Morley (or "nonforking") product of invariant measures in NIP theories.
Sequential approximations for types and Keisler measures
Kyle Gannon
This paper is a modified chapter of the author's Ph.D. thesis. We introduce the notions of sequentially approximated types and sequentially approximated Keisler measures. As the na…
Keisler measures in the wild
Gabriel Conant, Kyle Gannon, James Hanson
We investigate Keisler measures in arbitrary theories. Our initial focus is on Borel definability. We show that when working over countable parameter sets in countable theories, Bo…
Definable convolution and idempotent Keisler measures
Artem Chernikov, Kyle Gannon
We initiate a systematic study of the convolution operation on Keisler measures, generalizing the work of Newelski in the case of types. Adapting results of Glicksberg, we show tha…
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…
Local Keisler Measures and NIP Formulas
Kyle Gannon
We study generically stable measures in the local, NIP context. We show that in this setting, a measure is generically stable if and only if it admits a natural finite approximatio…