Results 101 to 110 of about 3,216 (210)
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.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
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.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
Intraday Functional PCA Forecasting of Cryptocurrency Returns
Journal of Forecasting, Volume 45, Issue 5, Page 2186-2212, August 2026.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
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2000 Sensitivity analysis is often used in high fidelity numerical optimization to estimate design space derivatives efficiently. Typically, explicit codes are combined with the adjoint formulation of continuous sensitivity analysis, which requires the ...
Clarence O. E. Burg
doaj
Vector‐Driven Projection and Backprojection
Medical Physics, Volume 53, Issue 8, August 2026.Abstract Background Projection and backprojection are fundamental operators in tomographic image reconstruction. Existing approaches—namely pixel‐driven (PD), ray‐driven (RD), and distance‐driven (DD)—are subject to well‐known trade‐offs among interpolation artifacts, geometric flexibility, and computational cost. Purpose This study aims to introduce a
Ismail Melik Turker, Isa Yildirim
wiley +1 more source
Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Protein Science, Volume 35, Issue 8, August 2026.Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
Gradient‐Free Online Learning of Subgrid‐Scale Dynamics With Neural Emulators
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract In this paper, we propose a generic algorithm to train machine learning‐based subgrid parametrizations online, that is, with a posteriori loss functions, but for non‐differentiable numerical solvers. The proposed approach leverages a neural emulator to approximate the reduced state‐space solver, which is then used to allow gradient propagation
H. Frezat +3 more
wiley +1 more source
The ASTE‐BGC Data‐Assimilative Regional Ocean Biogeochemical Model
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract We present a data‐assimilative regional ocean biogeochemical model, ASTE‐BGC, which simulates the physical and biogeochemical state of the North Atlantic Ocean from 2002 to 2017. Model physics are provided by a physical state estimate (ASTE), which assimilates O(109) in situ and satellite‐based observations over the model domain and time ...
L. A. Moseley +5 more
wiley +1 more source