Results 151 to 160 of about 79,087 (306)

On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
wiley   +1 more source

Exploring Aromaticity in Expanded Porphyrins: A Multidimensional Approach to Structure–Property Relationships

open access: yesChemistry–Methods, Volume 5, Issue 12, November 2025.
Expanded porphyrins, with their flexible structures and rich redox chemistry, offer a powerful platform to explore how aromaticity shapes molecular properties. This review introduces a multidimensional framework to quantify Hückel and Möbius aromaticity and examines its impact on the spectroscopic behavior across redox‐ and topology‐controlled expanded
Freija De Vleeschouwer   +2 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun   +2 more
wiley   +1 more source

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1541-1557, December 2025.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras   +3 more
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

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