Results 61 to 70 of about 14,879 (215)
, 2020 The aims of this thesis are to introduce a hyperbolic analogue of Grothendieck's dessins d'enfant, to give arithmetic properties of the coefficients of the Chebyshev-Blaschke products, and to prove some Landen-type identities for theta functions. In 1979, Belyi proved that a connected compact Riemann surface $X$ is defined over the field $\overline ...
openaire +1 more source
On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$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
The Takagi problem on the disk and bidisk [PDF]
, 2012 We give a new proof on the disk that a Pick problem can be solved by a rational function that is unimodular on the unit circle and for which the number of poles inside the disk is no more than the number of non-positive eigenvalues of the Pick matrix. We
Agler, Jim +2 more
core
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
Blaschke product for bordered surfaces
Analysis and Mathematical Physics, 2019 7 pages, two ...
openaire +2 more sources
Detection of Submerged Targets Beyond Eyes' Observation Using Satellite Lidar and Multispectral Data
Geophysical Research Letters, Volume 52, Issue 21, 16 November 2025.Abstract Detecting submerged targets in shallow waters from satellite platforms remains a challenge, as the optical spectral information of targets is significantly distorted by the absorption and scattering effects of the water column. In this study, we propose a new framework as the bathymetry‐informed target extraction, which integrates the ...
Hao Liu +4 more
wiley +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 10, October 2025.Abstract We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given envelope and vice versa. Our formulas are universal in the sense that they produce all possible sufficiently regular pairs of such Poncelet curves. We arrive at similar
Norbert Hungerbühler, Micha Wasem
wiley +1 more source
On a characterization of finite Blaschke products
, 2014 International audienceWe study the convergence of a sequence of finite Blaschke products of a fix order toward a rotation.
Fricain, Emmanuel, Mashreghi, Javad
core +1 more source
On Bloch seminorm of finite Blaschke products in the unit disk [PDF]
, 2022 Anton Baranov +2 more
openalex +1 more source