Results 81 to 90 of about 2,483 (203)
Higher representation stability for ordered configuration spaces
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach
ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar +3 more
wiley +1 more source
Computationally efficient quantification of unknown fugitive emissions sources
Fugitive emissions or unintentional losses of gas (e.g. leaks) are a significant source of greenhouse gases within the oil and gas sector. Previous work has demonstrated the potential of a scalar transport adjoint method for using sparse sensor data to ...
Carol A. Brereton +2 more
doaj +1 more source
Two new methods of analysis for solar seismology, called the continuous orthonormalization (CON) and adjoint methods, are developed. Their use enables both solar eigenfrequencies and eigenfrequency sensitivities (partial derivatives with respect to solar model parameters) to be computed more accurately and efficiently than with existing methods.
R. D. Rosenwald, G. F. Rabaey
openaire +1 more source
This work presents a NURBS‐enabled metasurface design framework that combines freeform meta‐atom parameterization with Transformer‐based deep learning. The unified mathematical representation expands geometric degrees of freedom while enabling efficient optical‐response prediction and inverse design.
Kaipeng Liu +11 more
wiley +1 more source
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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
In this paper, the Quaternary Continuous Classical Optimal Control Problem (QCCOCP) for the Quaternary Linear Elliptic Partial Differential Equations (QLEPDEqs) is studied.
jamil Amir Al-Hawasy +2 more
doaj +1 more source
Intraday Functional PCA Forecasting of Cryptocurrency Returns
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley +1 more source
Neural ODE-Based Frequency Stability Assessment and Control of Energy Storage Systems
Frequency stability becomes more and more important with the increase in inverter-based resources in power systems. To enhance the frequency stability, this paper proposes a novel data-driven method for frequency stability assessment and control for ...
Song Gao +4 more
doaj +1 more source

