8 citations · 15 across the 6 of their papers we have counts for
10 papers
Classification of bipartite observables III: simplicity, mixtures and quantum error correction
Eduardo Dueñez, José Iovino
This is the third of a series of three papers that bring model theory to quantum information. The dividing lines of Shelah's classification theory, which separate the tame first-or…
Classification of bipartite observables II: NIP observables and the Todorcevic trichotomy
Eduardo Dueñez, José Iovino
This is the second of a series of three papers that bring model theory to quantum information. The dividing lines of Shelah's classification theory, which separate the tame first-o…
Classification of bipartite observables I: stable and uniformly stable observables
Eduardo Dueñez, José Iovino
This is the first of a series of three papers that bring model theory to quantum information. The dividing lines of Shelah's classification theory, which separate the tame first-or…
Complexity of deep computations via topology of function spaces
Eduardo Dueñez, José Iovino, Tonatiuh Matos-Wiederhold +2
We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically, the classification of Rosenthal compac…
Approximability of deep computations
Samson Alva, Eduardo Dueñez, Jose Iovino +1
This is the first of a series of papers in which we study deep computations (ultracomputations) and deep iterates, formalizing the ideas of "asymptotic limit" of computations and c…
Metastable convergence and logical compactness
Xavier Caicedo, Eduardo Duenez, Jose Iovino
The concept of metastable convergence was identified by Tao;it allows converting theorems about convergence into stronger theorems about uniform convergence. The Uniform Metastabil…
Model theory and metric convergence II: Averages of unitary polynomial actions
Eduardo Dueñez, José N. Iovino
We use model theory of metric structures to prove the pointwise convergence, with a uniform metastability rate, of averages of a polynomial sequence (in Leibman's sense)…
Model theory and metric convergence I: Metastability and dominated convergence
Eduardo Dueñez, José N. Iovino
We study Tao's finitary viewpoint of convergence in metric spaces, as captured by the notion of metastability. We adopt the perspective of continuous model theory. We show that, in…
Model Theory and the mean ergodic theorem for abelian unitary actions
Eduardo Dueñez, José Iovino
We explore connections between von Neumann's mean ergodic theorem and concepts of model theory. As an application we present a proof Wiener's generalization of von Neumann's result…
Ultraproducts and metastability
Jeremy Avigad, José Iovino
Given a convergence theorem in analysis, under very general conditions a model-theoretic compactness argument implies that there is a uniform bound on the rate of metastability. We…