5 citations · 13 across the 17 of their papers we have counts for
17 papers
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…
A simple continuous theory
James Hanson
In the context of continuous first-order logic, special attention is often given to theories that are somehow continuous in an 'essential' way. A common feature of such theories is…
Bi-invariant types, reliably invariant types, and the comb tree property
James E. Hanson
We introduce and examine some special classes of invariant types$\unicode{x2014}$bi-invariant, strongly bi-invariant, extendibly invariant, and reliably invariant types$\unicode{x2…
Some semilattices of definable sets in continuous logic
James Hanson
In continuous first-order logic, the union of definable sets is definable but generally the intersection is not. This means that in any continuous theory, the collection of $\varno…
A metric set theory with a universal set
James Hanson
Motivated by ideas from the model theory of metric structures, we introduce a metric set theory, , which takes bounded quantification as primitive and consists of a n…
Approximate isomorphism of randomization pairs
James Hanson, Tomás Ibarlucía
We study approximate -categoricity of theories of beautiful pairs of randomizations, in the sense of continuous logic. This leads us to disprove a conjecture of Ben Yaaco…
Bounded ultraimaginary independence and its total Morley sequences
James Hanson
We investigate the following model-theoretic independence relation: $\def\indbu{{\rlap{\hspace11.9mu\vert}\lower7.5mu\smile}^{\!\mathrm{bu}}} b \indbu_A\hspace3mu c$ if and only if…
Separation for isometric group actions and hyperimaginary independence
Gabriel Conant, James Hanson
We generalize P. M. Neumann's Lemma to the setting of isometric actions on metric spaces and use it to prove several results in continuous logic related to algebraic independence.…
Topometric characterization of type spaces in continuous logic
James Hanson
We show that a topometric space is topometrically isomorphic to a type space of some continuous first-order theory if and only if is compact and has an open metric (i.e., s…
Metric Spaces Are Universal for Bi-interpretation with Metric Structures
James Hanson
In the context of metric structures introduced by Ben Yaacov, Berenstein, Henson, and Usvyatsov, we exhibit an explicit encoding of metric structures in countable signatures as pur…
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…
Strongly Minimal Sets and Categoricity in Continuous Logic
James Hanson
The classical Baldwin-Lachlan characterization of uncountably categorical theories is known to fail in continuous logic in that not every inseparably categorical theory has a stron…
Approximate Categoricity in Continuous Logic
James Hanson
We explore approximate categoricity in the context of distortion systems, introduced in our previous paper, which are a mild generalization of perturbation systems, introduced by B…
Approximate Isomorphism of Metric Structures
James Hanson
We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov and by Ben Yaacov, Doucha, Nies, and Tsankov, whic…
Indiscernible Subspaces and Minimal Wide Types
James Hanson
We develop the machinery of indiscernible subspaces in continuous theories of expansions of Banach spaces, showing that any such theory has an indiscernible subspace and therefore…
Dynamics of supersymmetric field theories in 2+1 dimensions and their gravity dual
William Cottrell, James Hanson, Akikazu Hashimoto
In this note we consider SYM theories in 2+1 dimensions with gauge group and hypermultiplets charged under the . When , the the…
Intersecting D3-D3' system at finite temperature
William Cottrell, James Hanson, Akikazu Hashimoto +2
We analyze the dynamics of intersecting D3/D3' brane system overlapping in 1+1 dimensions, in a holographic treatment where D3-branes are manifested as anti-de-Sitter Schwartzs…