Results 91 to 100 of about 1,961,324 (211)

The Haagerup property is not invariant under quasi‐isometry

Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
Abstract Using the work of Cornulier–Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi‐isometry of finitely generated groups. Appendix B shows, using the same examples, that the same holds for vanishing of the equivariant Lp$L^p$‐compression.
Mathieu Carette, Kevin Whyte, Sylvain Arnt, Thibault Pillon, Alain Valette   +4 more
wiley   +1 more source

Discrete homotopy hypothesis for n$n$‐types

Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.
Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley   +1 more source

Applications of Computational Algebraic Topology

, 2016
En este texto describimos un curso impartido en el congreso \UN Encuentro de Matemáticas 2016" que tuvo lugar en Bogotá (Colombia). El curso fue dividido en cuatro partes. En la primera se presentaron defniciones básicas de la Topología Algebraica.
Rubio García, Julio
core  

Mathematical Foundations of Constrained $SO(3,3)$ Spacetimes: Part II. Geometric Limits, Constraint Algebra, and Topological Bounds

This paper establishes the rigorous mathematical proofs and algebraic consistency of the constrained SO(3,3) multitemporal spacetime framework. First, we provide the tensor derivation of the extrinsic curvature singularity, demonstrating that continuous diffeomorphism inevitably breaks down at the Wunderlich geometric limit, necessitating topological ...
openaire   +2 more sources

vibe‐qc: An Open‐Source, General‐Purpose Electronic‐Structure Code for Molecules and Solids Developed With Generative AI

Journal of Computational Chemistry, Volume 47, Issue 28, October 30, 2026.
vibe‐qc is an open‐source, general‐purpose electronic‐structure code for molecules and solids, developed almost entirely with agentic AI under expert human direction. Molecular and periodic calculations use a common interface. Independent reference calculations form a reusable validation set.
Michael F. Peintinger
wiley   +1 more source

A Nonlinear Extension of Parametric Model Embedding for Dimensionality Reduction in Parametric Shape Design

International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT Dimensionality reduction is essential in simulation‐based shape design, where high‐dimensional parameterizations hinder optimization, surrogate modeling, and systematic design‐space exploration. Parametric Model Embedding (PME) addresses this issue by constructing reduced variables from geometric information while preserving an explicit ...
Andrea Serani, Giorgio Palma, Matteo Diez   +2 more
wiley   +1 more source

Mathematical Physics Algebraic Topology High Energy Physics — Theory Quantum Physics. Energy Hierarchy Factor in TVS23

We resolve the century-old atomic stability paradox without quantization postulates. The electron is a static topological knot of 24 nodes in the structured vacuum V₂₃, not an orbiting particle. The key result is an exact energy hierarchy derived from x³ − x − 1 = 0: the vacuum zero-point energy E_vac = αm_ec²/2 = 1864.47 eV exceeds the ionization ...
openaire   +2 more sources

Surrogate Computational Homogenization Enhanced by Partition‐of‐Unity RBF Interpolation With Decision Trees

International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT This study enhances a framework of surrogate computational homogenization (SCH) using decision tree‐based partition‐of‐unity radial basis function (PU‐RBF) interpolation for three‐dimensional finite‐deformation two‐scale analysis. The method addresses the scalability limitation of global RBF interpolation for large numerical material test (NMT)
Yosuke Yamanaka, Norio Hirayama, Kenjiro Terada   +2 more
wiley   +1 more source

Leveraging Symbolic Artificial Intelligence and Fuzzy Logic for Materials Science: A Review of Methods, Challenges, and Applications to Scarce and Imperfect Experimental Data

Advanced Engineering Materials, Volume 28, Issue 20, 21 October 2026.
This article explores the transformative potential of symbolic artificial intelligence (AI) in the field of materials science, particularly in leveraging experimental data. The article presents several symbolic AI models and discusses their applications in materials science.
Ahmed Amrani, Mohamed‐Ali Belloum, Laurence Boudet, Valentin Fouillard, Edwin Friedmann, Guillaume Lacharme, Ali Mahmoud, Jean‐Philippe Poli   +7 more
wiley   +1 more source

Topology Optimization With a Local‐Like Global Stress Constraint Using a Fully Differentiable Aggregation Function

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT Over the last few decades, topology optimization (TO) has been developed into a valuable optimization method in many engineering fields. In structural optimization, limiting maximum mechanical stress is critical to the design of safe and reliable structures, a constraint that can be handled using TO.
Tarcísio Ladeia de Oliveira, Jonas de Carvalho, Alessandro Roger Rodrigues   +2 more
wiley   +1 more source