Results 51 to 60 of about 4,244 (151)
On maps sending rank-κ idempotents to idempotents
Operators and Matrices, 2019 Summary: We characterize bijective linear maps on complex-valued \(n\times n\) matrices such that rank-\( \kappa\) idempotents are mapped to idempotents, where \(2 \leqslant \kappa < n - 1\).
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Gradient Crystal Plasticity Modeling of Laminate Microstructures
GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
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A Comprehensive Survey on LLM‐Based Network Management and Operations
International Journal of Network Management, Volume 35, Issue 6, November/December 2025.ABSTRACT The growing demands for network capacity and the increasing complexities of modern network environments pose significant challenges for effective network management and operations. In response, network operators and administrators are moving beyond traditional manual and rule‐based methods, adopting advanced artificial intelligence (AI)‐driven
Jibum Hong +2 more
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, Volume 78, Issue 8, Page 1359-1410, August 2025.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
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Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions
Demonstratio Mathematica, 2015 AbstractIn this paper, we study weakly idempotent lattices with an additional interlaced operation. We characterize interlacity of a weakly idempotent semilattice operation, using the concept of hyperidentity and prove that a weakly idempotent bilattice with an interlaced operation is epimorphic to the superproduct with negation of two equal lattices ...
Davidova D. S., Movsisyan Yu. M.
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A Sharper Ramsey Theorem for Constrained Drawings
Journal of Graph Theory, Volume 109, Issue 4, Page 401-411, August 2025.ABSTRACT Given a graph G and a collection C of subsets of R d indexed by the subsets of vertices of G, a constrained drawing of G is a drawing where each edge is drawn inside some set from C, in such a way that nonadjacent edges are drawn in sets with disjoint indices. In this paper we prove a Ramsey‐type result for such drawings.
Pavel Paták
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Idempotents in intensional type theory
, 2016 We study idempotents in intensional Martin-L\"of type theory, and in particular the question of when and whether they split. We show that in the presence of propositional truncation and Voevodsky's univalence axiom, there exist idempotents that do not ...
Shulman, Michael
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Canonical Labeling of Latin Squares in Average‐Case Polynomial Time
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT A Latin square of order n$$ n $$ is an n×n$$ n\times n $$ matrix in which each row and column contains each of n$$ n $$ symbols exactly once. For ε>0$$ \varepsilon >0 $$, we show that with high probability a uniformly random Latin square of order n$$ n $$ has no proper subsquare of order larger than n1/2log1/2+εn$$ {n}^{1/2}{\log}^{1/2 ...
Michael J. Gill +2 more
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The Temperley–Lieb tower and the Weyl algebra
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We define a monoidal category W${\mathbf {W}}$ and a closely related 2‐category 2Weyl${\mathbf {2Weyl}}$ using diagrammatic methods. We show that 2Weyl${\mathbf {2Weyl}}$ acts on the category TL:=⨁nTLn−mod$\mathbf {TL}:=\bigoplus _n \operatorname{TL}_n\mathrm{-mod}$ of modules over Temperley–Lieb algebras, with its generating 1‐morphisms ...
Matthew Harper, Peter Samuelson
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