Results 31 to 40 of about 267 (174)
Mating parabolic rational maps with Hecke groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
wiley +1 more source
Starlikeness of polynomials and finite Blaschke products [PDF]
Annales Polonici Mathematici, 2008 The radius of starlikeness for polynomial mappings and fi- nite Blaschke products with zeroes distributed at equal angles around a circle centered at the origin, as well as the case in which zeroes are concentrated at a single point, are considered, and sharp bounds are obtained.
Alan Gluchoff, Frederick Hartmann
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Exterior Univalent Harmonic Mappings With Finite Blaschke Dilatations
, 1999 In this article we characterize the univalent harmonic mappings from the exterior of the unit disk, Δ, onto a simply connected domain Ω containing infinity and which are solutions of the system of elliptic partial differential equations where the second
W. Hengartner, D. Bshouty
core +1 more source
On the duality property of Blaschke products and its application (Computer Algebra - Theory and its Applications) [PDF]
, 2020 We study geometric properties of finite Blaschke products. For a Blaschke product B of degree d, the interior curve and the exterior curve are defined. In this paper, we explain the existence of dualitylike geometrical property lies between the interior ...
Fujimura, Masayo
core
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Validating DSGE Models Through SVARs Under Imperfect Information
Oxford Bulletin of Economics and Statistics, Volume 87, Issue 6, Page 1081-1105, December 2025.ABSTRACT We study the ability of SVARs to match impulse responses of a well‐established DSGE model where the information of agents can be imperfect. We derive conditions for the solution of a linearized NK‐DSGE model to be invertible given this information set. In the absence of invertibility, an approximate measure is constructed. An SVAR is estimated
Paul Levine +3 more
wiley +1 more source
Clark measures and a theorem of Ritt [PDF]
, 2018 We determine when a finite Blaschke product B can be written, in a non-trivial way, as a composition of two finite Blaschke products (Ritt's problem) in terms of the Clark measure for B. Our tools involve the numerical range of compressed shift operators
Partington, Jonathan R. +13 more
core +2 more sources
Smale’s mean value conjecture for finite Blaschke products [PDF]
The Journal of Analysis, 2016 Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper. Our result on the dual conjecture for finite Blaschke products allows us to improve a bound obtained by V. Dubinin and T.
Ng, TW, Zhang, Y
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On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
wiley +1 more source