Results 61 to 70 of about 17,142 (213)
On the dimension of the boundaries of attracting basins of entire maps
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
Conformal optimization of eigenvalues on surfaces with symmetries
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
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
7 pages, two ...
openaire +2 more sources
Detection of Submerged Targets Beyond Eyes' Observation Using Satellite Lidar and Multispectral Data
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
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
Finite Blaschke Products as Compositions of Other Finite Blaschke Products
22 ...
openaire +2 more sources
On Bloch seminorm of finite Blaschke products in the unit disk [PDF]
Anton Baranov +2 more
openalex +1 more source
Exceptional sets for the derivatives of Blaschke products [PDF]
Javad Mashreghi, Emmanuel Fricain
openalex +1 more source
Finite Blaschke products and the golden ratio
Nihal Yılmaz Özgür, Sümeyra Uçar
openalex +2 more sources

