4 citations · 10 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
Monotonicity of the principal pivot transform
J. E. Pascoe, Ryan Tully-Doyle
We prove that the principal pivot transform (also known as the partial inverse, sweep operator, or exchange operator in various contexts) maps matrices with positive imaginary part…
Zero-free regions near a line
Kelly Bickel, J. E. Pascoe, Meredith Sargent
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from pow…
Macroscale behavior of random lower triangular matrices
J. E. Pascoe, Tapesh Yadav
We analyze the macroscale behavior of random lower (and therefore upper) triangular matrices with entries drawn iid from a distribution with nonzero mean and finite variance. We sh…
Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem
J. E. Pascoe
We develop the theory of invariant structure preserving and free functions on a general structured topological space. We show that an invariant structure preserving function is poi…