Results 61 to 70 of about 4,630 (199)
Convex functionals in a topological vector space
, 1963 A convex functional on a convex domain of a topological vector space is continuous if it is bounded above in an open subset, and then it becomes locally uniformly continuous [1]. W. Orlicz and Z.
K. Kitajima
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On the Replica Symmetric Solution in General Diluted Spin Glasses
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
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, 1971 Suppose X and Y are locally convex Hausdorff spaces, H is arbitrary and S is a ring of subsets of H. The authors prove the analog of the theorem stated in [Abstract 672-372, Notices Amer. Math. Soc. 17 (1970), 188] in this setting.
J. R. Edwards, S. Wayment
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Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
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A note on the commutator of two operators on a locally convex space
, 2016 Denote by $C$ the commutator $AB-BA$ of two bounded operators $A$ and $B$ acting on a locally convex topological vector space. If $AC-CA=0$, we show that $C$ is a quasinilpotent operator and we prove that if $AC-CA$ is a compact operator, then $C$ is a ...
E. Kramar
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Classification of area‐strict limits of planar BV homeomorphisms
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We present a classification of area‐strict limits of planar BV$BV$ homeomorphisms. This class of mappings allows for cavitations and fractures but fulfil a suitable generalisation of the INV condition of Müller and Spector (Arch. Rational Mech. Anal. 131 (1995), no. 1, 1–66). As pointed out by J.
Daniel Campbell +2 more
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Hausdorff dimensions of irreducible Markov hom tree‐shifts
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban +2 more
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On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
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Topology Optimization Design of Automotive Suspension Control Arm
Engineering Reports, Volume 7, Issue 5, May 2025.Topology optimization technology is used to explore how to achieve lightweight of the lower control arm of the double‐fork suspension of electric vehicles. In the process of this research, weight reduction and production cost are realized while mechanical properties are not reduced.
Rongfeng Lin, Xianghui Zhan, Xiaoda Li
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Nanoparticle Skin Penetration: Depths and Routes Modeled In‐Silico
Small, Volume 21, Issue 20, May 19, 2025.An in‐silico human skin model based on 20 years of NP penetration studies, incorporating 19 parameters is developed. Using random forest and Kennard‐Stone sorting, the model achieves 95% accuracy, identifying hair follicle diameter as the dominant penetration factor.
Natsumi Maeda +7 more
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