Results 31 to 40 of about 275 (154)
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
Iterates of Blaschke products and Peano curves [PDF]
, 2023 Let f be a finite Blaschke product with f(0) = 0 which is not a rotation and let fn be its n-th iterate. Given a sequence {an} of complex numbers consider F = Panfn.
Nicolau, Artur +1 more
core +2 more sources
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
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
openaire +5 more sources
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
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
Cyclic Blaschke products for composition operators
, 2009 In this work, cyclic Blaschke products for composition operators induced by disc automorphisms axe studied. In particular, we obtain interpolating Blaschke products that axe cyclic for nonelliptic automorphisms and we obtain a new characterization of ...
Pamela Gorkin +3 more
core +1 more source
Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source