Results 51 to 60 of about 4,676 (117)
Journal of Optimization, Differential Equations and Their ApplicationsA combined approach to identifying the coordinates of point impulse sources, using observation data at certain time intervals at characteristic points, has been transferred to the case of anisotropy.
Andrii Y. Bomba +2 more
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Quasiconformal extensions for some geometric subclasses of univalent functions
International Journal of Mathematics and Mathematical Sciences, 1984 Let S denote the set of all functions f which are analytic and univalent in the unit disk D normalized so that f(z)=z+a2z2+…. Let S∗ and C be those functions f in S for which f(D) is starlike and convex, respectively.
Johnny E. Brown
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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 +5 more
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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
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Математичні СтудіїThis 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 +3 more
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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
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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
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PhotonicsIn 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 +3 more
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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 +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
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