Results 1 to 10 of about 43 (43)

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
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

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users

Laser &Photonics Reviews, EarlyView.
We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
wiley   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

On an Aggregation Theory for Indicators Expressing Behaviors of Complex Systems With an Application to Sustainability

Sustainable Development, EarlyView.
ABSTRACT Certain attributes of large‐scale complex systems are often expressed through sets of indicators. For example, the sustainability of an entity, be it a nation, a city, an energy system, a corporation etc., can be effectively represented by indicators and corresponding data series.
Vassilis S. Kouikoglou, Yannis A. Phillis   +1 more
wiley   +1 more source

A pipeline for megahertz X‐ray photon correlation spectroscopy on soft matter samples at the MID instrument of European XFEL

Journal of Synchrotron Radiation, EarlyView.
We present a standardized and highly automated pipeline for megahertz X‐ray photon correlation spectroscopy (MHz‐XPCS) on soft‐matter samples at the MID instrument of the European XFEL. The workflow addresses AGIPD petabyte‐scale data handling, detector‐artifact correction, correlation analysis and FAIR data output, enabling routine MHz‐XPCS with ...
Aliaksandr Leonau, Felix Brausse, James Wrigley, Mads B. Jakobsen, Trey Guest, Amir Tosson, Michelle Dargasz, Nimmi Das Anthuparambil, Felix Lehmkühler, Anita Girelli, Maddalena Bin, Fivos Perakis, Sebastian Retzbach, Fajun Zhang, Frank Schreiber, Matheus Teodoro, Cammille Carinan, Robert Rosca, Fabio Dall'Antonia, Wonhyuk Jo, Ulrike Boesenberg, Angel Rodriguez-Fernandez, Roman Shayduk, Jörg Hallmann, Alexey Zozulya, Jan-Etienne Pudell, Carsten Deiter, Luca Gelisio, Johannes Möller, Anders Madsen, Christian Gutt   +30 more
wiley   +1 more source

Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations

Journal of Synchrotron Radiation, EarlyView.
A scalable multi‐tau two‐time correlation framework enables efficient, time‐resolved XPCS analysis of long duration high‐frame‐rate modern synchrotron data while preserving sensitivity to non‐stationary dynamics.We present a multi‐tau two‐time correlation (MT‐2TC) analysis for X‐ray photon correlation spectroscopy that enables efficient analysis of ...
Fabio Brugnara, Marco Cammarata, Yuriy Chushkin, Irene Festi, Massimo Granata, David Hofman, Matteo Leonardi, Daniele Marzi, Denis Nabari, Angela Trapananti, Simone Ziglio, Federico Zontone, Marco Zanatta, Giacomo Baldi   +13 more
wiley   +1 more source