Topology of quadrature domains
arXiv:1307.0487 · doi:10.1090/jams828
Abstract
We address the problem of topology of quadrature domains, namely we give upper bounds on the connectivity of the domain in terms of the number of nodes and their multiplicities in the quadrature identity.
37 pages, 11 figures in J. Amer. Math. Soc., Published electronically: May 11, 2015
References in corpus (4)
Cited by in corpus (25)
- The random normal matrix model: insertion of a point charge
- A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality
- Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials
- Green's function and anti-holomorphic dynamics on a torus
- Dynamics of Schwarz reflections: the mating phenomena
- On boundary confinements for the Coulomb gas
- Matrix-valued orthogonal polynomials related to hexagon tilings
- On the geometry of random lemniscates
- Univalent Polynomials and Hubbard Trees
- Schwarz reflections and the Tricorn
- Schwarz reflections and anti-holomorphic correspondences
- On the Uniqueness Problem for Quadrature Domains
- Bers Slices in Families of Univalent Maps
- Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena
- Sharpness of connectivity bounds for quadrature domains
- Lemniscate ensembles with spectral singularity
- A note on normal matrix ensembles at the hard edge
- Antiholomorphic correspondences and mating I: realization theorems
- A note on the critical points of the localization landscape
- Orthogonal polynomials in the normal matrix model with two insertions
- Integrability-preserving regularizations of Laplacian Growth
- Combination Theorems in Groups, Geometry and Dynamics
- Mating parabolic rational maps with Hecke groups
- Logarithmic Equilibrium on the Sphere in the Presence of Multiple Point Charges
- Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials