Results 61 to 70 of about 168,306,423 (155)
Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan +6 more
wiley +1 more source
Semialgebraic topology over a real closed field [PDF]
, 1982 Knebusch, Manfred +3 more
core +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Incremental refinement of relevance rankings: Balancing relevance depth and scope
Journal of the Association for Information Science and Technology, Volume 77, Issue 10, Page 1247-1270, October 2026.Abstract Delivering both relevant and topically diverse results is a key challenge in information retrieval (IR). This study introduces a hybrid method that incrementally refines rankings by combining probabilistic topic modeling (latent dirichlet allocation [LDA]) with citation‐based pennant retrieval grounded in Relevance Theory (RT), optimizing for ...
Müge Akbulut, Yaşar Tonta
wiley +1 more source
Semialgebraic topology over a real closed field II: Basic theory of semialgebraic spaces [PDF]
, 1981 Knebusch, Manfred, Delfs, Hans
core +1 more source
Proteins: Structure, Function, and Bioinformatics, Volume 94, Issue 10, Page 1671-1685, October 2026.ABSTRACT The GTPase KRAS executes a conformational switch between a GTP‐bound active state and a GDP‐bound inactive state, a process central to oncogenic signaling. However, the structural basis of this switching at the level of residue‐contact organization remains incompletely characterized by traditional binary structural models.
Fatma Senguler Ciftci, Burak Erman
wiley +1 more source
Mixed motives and linear forms in the Catalan constant
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source
Bordered Floer homology, handlebody detection, and compressing diffeomorphisms
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We show that, up to connected sums with integer homology L$L$‐spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebody or compression body. Using this, we combine ideas of Casson–Long with the theory of train tracks to give an algorithm using bordered Floer homology to detect ...
Akram Alishahi, Robert Lipshitz
wiley +1 more source