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
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Assumed strain methods in micromechanics, laminate composite voxels and level sets
International Journal for Numerical Methods in Engineering, Volume 125, Issue 11, 15 June 2024.Abstract This work deals with the composite voxel method, which—in its original form—furnishes voxels containing more than one material with a surrogate material law accounting for the heterogeneity in the voxel. We show that the laminate composite voxel technique naturally arises as an assumed strain method, that is, the general framework introduced ...
Jonas Lendvai, Matti Schneider
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Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez +1 more
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Delta‐points and their implications for the geometry of Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We show that the Lipschitz‐free space with the Radon–Nikodým property and a Daugavet point recently constructed by Veeorg is in fact a dual space isomorphic to ℓ1$\ell _1$. Furthermore, we answer an open problem from the literature by showing that there exists a superreflexive space, in the form of a renorming of ℓ2$\ell _2$, with a Δ$\Delta ...
Trond A. Abrahamsen +6 more
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Journal of Approximation Theory, 2014 Abstract The present note is a corrigendum to the paper “Best approximation in polyhedral Banach spaces”, J. Approx. Theory 163 (2011) 1748–1771.
V. P. Fonf, J. Lindenstrauss, L. Vesely
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A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Rev Mat Complut, 2023 Comi GE, Stefani G.
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Numerical Analysis and Comparison of Three Iterative Methods Based on Finite Element for the 2D/3D Stationary Micropolar Fluid Equations. [PDF]
Entropy (Basel), 2022 Xing X, Liu D.
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Covering Convex Bodies and the Closest Vector Problem. [PDF]
Discrete Comput Geom, 2022 Naszódi M, Venzin M.
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The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces – RETRACTION [PDF]
Proceedings of the Edinburgh Mathematical Society, 2021 Dongni Tan, Xujian Huang
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Recent Progress Using De Novo Design to Study Protein Structure, Design and Binding Interactions. [PDF]
Life (Basel), 2021 Ferrando J, Solomon LA.
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