Results 31 to 40 of about 2,961 (99)
Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
wiley +1 more source
Quasiconformal embeddings of Y-pieces
, 2014 In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple closed ...
Buser, Peter +3 more
core +1 more source
Cyclic‐Schottky strata of Schottky space
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
wiley +1 more source
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
wiley +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
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
Mappings of generalized finite distortion and continuity
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We study continuity properties of Sobolev mappings f∈Wloc1,n(Ω,Rn)$f \in W_{\mathrm{loc}}^{1,n} (\Omega , \mathbb {R}^n)$, n⩾2$n \geqslant 2$, that satisfy the following generalized finite distortion inequality Df(x)n⩽K(x)Jf(x)+Σ(x)$$\begin{equation*} \hspace*{4.6pc}{\left| Df(x) \right|}^n \leqslant K(x) J_f(x) + \Sigma (x) \end{equation ...
Anna Doležalová +2 more
wiley +1 more source
A complex structure on the moduli space of rigged Riemann surfaces
, 2005 The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator algebras, we ...
Radnell, David, Schippers, Eric
core +1 more source
Quantitative characterization of the human retinotopic map based on quasiconformal mapping. [PDF]
Med Image Anal, 2022 Ta D, Tu Y, Lu ZL, Wang Y.
europepmc +1 more source
Duality of capacities and Sobolev extendability in the plane. [PDF]
Complex Analysis Synerg, 2021 Zhang YR.
europepmc +1 more source