13 citations · 26 across the 19 of their papers we have counts for
19 papers
Automorphic Nelson Dilations for Contractions and Invariant Subspace Tracking
Kelly Bickel, J. E. Pascoe, Ryan Tully-Doyle
Given an strictly contractive matrix , an (automorphic) Nelson dilation of is a certain type of analytic matrix-valued function on the unit disk w…
Cauchy Transforms of Colored Graphs in Two Variables
Lily Adlin, Giovani Thai, Samuel Tiscareno +1
By designating vertices with variables, a simple undirected graph can be augmented to have an associated representing rational function in two variables taking the complex bi-upper…
Matrix convex verbatim enumeration functions are graphical
J. E. Pascoe, Ryan Tully-Doyle
We give a relation between verbatim generating functions of what we call Pythagorean languages and matrix convexity. Namely, several multivariate matrix convex functions occurring…
Induced Stinespring factorization and the Wittstock support theorem
J. E. Pascoe, Ryan Tully-Doyle
Given a pair of self-adjoint-preserving completely bounded maps on the same -algebra, say that if the kernel of is a subset of the kernel of and $ψ\circ φ^{-…
Dynamics of low-degree rational inner skew-products on
Alan Sola, Ryan Tully-Doyle
We examine iteration of certain skew-products on the bidisk whose components are rational inner functions, with emphasis on simple maps of the form …
Averaged mixed Julia-Fatou type theory with applications to spectral foliation
J. E. Pascoe, Ryan Tully-Doyle
Classically, theorems of Fatou and Julia describe the boundary regularity of functions in one complex variable. The former says that a complex analytic function on the disk has non…