Zobrazeno 1 - 10
of 6 913
pro vyhledávání: '"Rajala, A."'
We study {\it permeable} sets. These are sets \(\Theta \subset \mathbb{R}^d\) which have the property that each two points \(x,y\in \mathbb{R}^d\) can be connected by a short path \(\gamma\) which has small (or even empty, apart from the end points o
Externí odkaz:
http://arxiv.org/abs/2410.17254
Autor:
Rajala, Kai
We give a negative answer to the rigidity conjecture of He and Schramm by constructing a rigid circle domain $\Omega$ on the Riemann sphere with conformally non-removable boundary. Here rigidity means that every conformal map from $\Omega$ onto anoth
Externí odkaz:
http://arxiv.org/abs/2409.19103
Autor:
Rajala, Kai
Classical extremal length (or conformal modulus) is a conformal invariant involving families of paths on the Riemann sphere. In ``Extremal length and functional completion'', Fuglede initiated an abstract theory of extremal length which has since bee
Externí odkaz:
http://arxiv.org/abs/2408.12027
Autor:
Meier, Damaris, Rajala, Kai
We explore the interplay between different definitions of distortion for mappings $f\colon X\to \mathbb{R}^2$, where $X$ is any metric surface, meaning that $X$ is homeomorphic to a domain in $\mathbb{R}^2$ and has locally finite 2-dimensional Hausdo
Externí odkaz:
http://arxiv.org/abs/2405.07476
Spatial variables can be observed in many different forms, such as regularly sampled random fields (lattice data), point processes, and randomly sampled spatial processes. Joint analysis of such collections of observations is clearly desirable, but c
Externí odkaz:
http://arxiv.org/abs/2312.10176
Autor:
Ntalampekos, Dimitrios, Rajala, Kai
Koebe's conjecture asserts that every domain in the Riemann sphere is conformally equivalent to a circle domain. We prove that every domain $\Omega$ satisfying Koebe's conjecture admits an $\textit{exhaustion}$, i.e., a sequence of interior approxima
Externí odkaz:
http://arxiv.org/abs/2312.06840
Autor:
Meier, Damaris, Rajala, Kai
We investigate basic properties of mappings of finite distortion $f:X \to \mathbb{R}^2$, where $X$ is any metric surface, i.e., metric space homeomorphic to a planar domain with locally finite $2$-dimensional Hausdorff measure. We introduce lower gra
Externí odkaz:
http://arxiv.org/abs/2309.15615
Autor:
Rajala, Patrik, Tatar-Mathes, Philipp, Phung, Hoy-My, Koskinen, Jesse, Ranta, Sanna, Guina, Mircea, Kahle, Hermann
Publikováno v:
2024
Membrane external-cavity surface-emitting lasers (MECSELs) are at the forefront of pushing the performance limits of vertically emitting semiconductor lasers. Their simple idea of using just a very thin (hundreds of nanometers to few microns) gain me
Externí odkaz:
http://arxiv.org/abs/2309.05409
Autor:
Tuuli Rautajoki, Heidi A. Rantala, Eva Sutinen, Tiina Saarto, Kaisa Rajala, Ida Pesonen, Maria Hollmen, Marjukka Myllärniemi, Juho T. Lehto
Publikováno v:
BMC Pulmonary Medicine, Vol 24, Iss 1, Pp 1-10 (2024)
Abstract Background Health-related quality of life (HRQoL) assessments and estimates of prognosis are needed for comprehensive care and planning of subsequent treatment in patients with idiopathic pulmonary fibrosis (IPF). We investigated HRQoL and i
Externí odkaz:
https://doaj.org/article/5d6248eaf1314466b1c089a5e99de128
Publikováno v:
Acta Veterinaria Scandinavica, Vol 66, Iss 1, Pp 1-8 (2024)
Abstract Background African swine fever (ASF) poses a threat to the global pig industry, leading to significant economic losses and widespread disruptions in pig farming and associated sectors. In September 2023, the first case of ASF in Swedish wild
Externí odkaz:
https://doaj.org/article/383f156b1037480386e9b678f7582980