38 citations · 74 across the 16 of their papers we have counts for
19 papers
An arithmetic approach to parabolic multiplicity in complex dynamics
Xavier Buff, Valentin Huguin, Liz Vivas
When is a primitive -th root of unity, the quadratic polynomial and the entire map both have a parabolic fixed point at . T…
A Non-Autonomous Model for Parabolic Implosion
Katelynn Huneycutt, Samantha Sandberg-Clark, Liz Vivas
Orthogonal polynomials appear naturally in the study of compositions of Möbius transformations. In this paper, we consider several classes of orthogonal polynomials associated to n…
On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Given a holomorphic vector bundle over a compact Riemann surface , and an open set in , we prove that the Bergman space of holomorphic sections of the restriction of…
On the dimension of Bergman spaces on
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Inspired by a result by Szőke, we give potential-theoretic characterizations of the dimension of the Bergman space of holomorphic sections of a restriction of a holomorphic line bu…
Hardy Spaces for a Class of Singular Domains
Anne-Katrin Gallagher, Purvi Gupta, Loredana Lanzani +1
We set a framework for the study of Hardy spaces inherited by complements of analytic hypersurfaces in domains with a prior Hardy space structure. The inherited structure is a filt…
Stable manifolds of biholomorphisms in asymptotic to formal curves
Lorena López-Hernanz, Javier Ribón, Fernando Sanz Sánchez +1
Given a germ of biholomorphism with a formal invariant curve such that the multiplier of the restricted formal diffeomorphism is a ro…