Results 61 to 70 of about 4,681 (167)

Quasiconformal mappings of $Y$-pieces

Revista Matemática Iberoamericana, 2002
In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.
openaire   +4 more sources

Hölder continuity of harmonic quasiconformal mappings [PDF]

Journal of Inequalities and Applications, 2011
We prove that for harmonic quasiconformal mappings $ $-H lder continuity on the boundary implies $ $-H lder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open.
Arsenović, Miloš, Todorčević, Vesna, Vuorinen, Matti   +2 more
openaire   +5 more sources

In Vivo Microrheology Reveals Local Elastic and Plastic Responses Inside 3D Bacterial Biofilms

Advanced Materials, Volume 36, Issue 29, July 18, 2024.
Bacterial biofilms are highly abundant 3D living materials capable of performing complex biomechanical and biochemical functions. A general method is developed to measure internal mechanical properties of biofilms in vivo with spatial resolution on the cellular scale, leading to the discovery that the elastic modulus inside biofilms correlates with the
Takuya Ohmura, Dominic J. Skinner, Konstantin Neuhaus, Gary P. T. Choi, Jörn Dunkel, Knut Drescher   +5 more
wiley   +1 more source

Quasiregular curves and cohomology

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract Let N$N$ be a closed, connected, and oriented Riemannian manifold, which admits a quasiregular ω$\omega$‐curve Rn→N$\mathbb {R}^n \rightarrow N$ with infinite energy. We prove that, if the de Rham class of ω$\omega$ is nonzero and a finite sum of nontrivial products, then there exists a nontrivial graded algebra homomorphism HdR∗(N)→⋀∗Rn$H_ ...
Susanna Heikkilä
wiley   +1 more source

On prime end distortion estimates of mappings with the Poletsky condition in domains with the Poincar´e inequality

Математичні Студії
This article is devoted to the study of mappings with bounded and finite distortion defined in some domain of the Euclidean space. We consider mappings that satisfy some upper estimates for the distortion of the modulus of families of paths, where the ...
O. P. Dovhopiatyi, N. S. Ilkevych, E. O. Sevost'yanov, A. L. Targonskii   +3 more
doaj   +1 more source

Lipschitz spaces and harmonic mappings

, 2009
In \cite{kamz} the author proved that every quasiconformal harmonic mapping between two Jordan domains with $C^{1,\alpha ...
Kalaj, David
core   +1 more source

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

Wavefront Fitting over Arbitrary Freeform Apertures via CSF-Guided Progressive Quasi-Conformal Mapping

Photonics
In freeform optical metrology, wavefront fitting over non-circular apertures is hindered by the loss of Zernike polynomial orthogonality and severe sampling grid distortion inherent in standard conformal mappings.
Tong Yang, Chengxiang Guo, Lei Yang, Hongbo Xie   +3 more
doaj   +1 more source

Computing Teichm\"{u}ller Maps between Polygons

, 2014
By the Riemann-mapping theorem, one can bijectively map the interior of an $n$-gon $P$ to that of another $n$-gon $Q$ conformally. However, (the boundary extension of) this mapping need not necessarily map the vertices of $P$ to those $Q$.
Goswami, Mayank, Gu, Xianfeng, Pingali, Vamsi P., Telang, Gaurish   +3 more
core  

The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles

Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
wiley   +1 more source