Academy of Mathematics and Systems Science

The Stability of Current Vortex Sheets with Transverse Magnetic Field

We study a symmetric class of three-dimensional compressible current-vortex sheets for which the basic velocity is tangential to the interface and the basic magnetic field is tangential to the interface but transverse to the velocity. Restricting to perturbations that are indepen...

A Transfer Learning Framework for Multilayer Networks via Model Averaging

Link prediction in multilayer networks is a key challenge in applications such as recommendation systems and protein-protein interaction prediction. While many techniques have been developed, most rely on assumptions about shared structures and require access to raw auxiliary dat...

Injective attention neural operators for partial differential equations on large-scale problems

Partial differential equations (PDEs) play a central role in modeling physical phenomena across science and engineering, including fluid dynamics, solid mechanics, electromagnetics, and multiphysics systems. Repeatedly solving PDEs over varying inputs, geometries, and parameters...

DeCTCF: Decoding CTCF binding sequences by leveraging predicted epigenomic features

CTCF is a key architectural protein with diverse roles in genome organization and gene regulation, yet how it achieves these roles in different contexts remains unclear. Pretrained sequence-based models such as Sei provide predicted epigenomic features that can be used in downstr...

GenAI-Net: A generative AI framework for automated biomolecular network design

Biomolecular networks underlie both natural biological processes and engineered cellular technologies, from intracellular regulation and ecological dynamics to biomanufacturing, smart therapeutics, and cell-based diagnostics. However, designing chemical reaction networks (CRNs) t...

On the use of a discrepancy decomposition model for calibration experiments

Computer simulation models are widely used to study complex physical systems. A related topic is the calibration problem, which aims at learning about the values of parameters in the model based on observations. In most real applications, the parameters have specific physical mea...

The semiclassical limit of the Dirac equation

The aim of this note is to present a general overview of the linear stability and instability of shear layers near a boundary for both the incompressible Euler and Navier-Stokes equations.

Null controllability for degenerate parabolic equations with internal control applied on a measurable subset

This paper investigates the null controllability of a class of two-dimensional linear parabolic equations with a boundary degeneracy on the domain Ω = 𝕋 × ( 0 , 1 ) , where the internal control acts on a space-time measurable subset of positive measure. Unlike conventional open c...

Uniform eventual domination of permanents of doubly stochastic matrix powers

For every positive integer n, this preprint proves the existence of an integer K(n) >= 2 such that per(A^k) <= per(A) for every real n x n doubly stochastic matrix A and every integer k >= K(n). Powers use ordinary matrix multiplication. The exponent is uniform over the whole dou...

Uniform eventual domination of permanents of doubly stochastic matrix powers

For every positive integer n, this preprint proves the existence of an integer K(n) >= 2 such that per(A^k) <= per(A) for every real n x n doubly stochastic matrix A and every integer k >= K(n). Powers use ordinary matrix multiplication. The exponent is uniform over the whole dou...

A Thermal-Frequency Locking Method for Permanent Magnet Magnetic Resonance Systems

Abstract Temperature-induced magnetic field drift is a dominant source of slow magnetic field variations in permanent magnet magnetic resonance (PMR) systems, resulting in line broadening, spectral distortion, and imaging artifacts. Conventional methods, such as field-frequency l...

On the Vanishing Viscosity Limit of Hamilton–Jacobi Equations with Nearly Optimal Discount

Abstract. In this paper, we establish the convergence of solutions to the viscous Hamilton–Jacobi equation (with a Tonelli Hamiltonian): [Formula: see text], [Formula: see text] as [Formula: see text], once the modulus [Formula: see text] satisfies [Formula: see text]. Such an ex...

How Are Green Financial Markets Linked to Green Cryptocurrency Return States? Evidence from a Cross-Quantilogram Approach

This paper examines directional quantile dependence from green bonds, clean energy markets, and carbon markets to the return states of five literature-classified green cryptocurrencies. Using daily returns from 25 September 2019 to 23 May 2025, we estimate static cross-quantilogr...

Candidate Intermediary Node Deployment Under the Linear Threshold Model: A Branch-and-Benders-Cut Approach

This paper studies candidate intermediary node deployment for influence diffusion under the linear threshold model (LTM). Given fixed diffusion sources, target nodes, and a budget, the decision maker selects candidate intermediary nodes to maximize the expected total weight of ac...

Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler–Riesz Equations with Large Initial Data of Spherical Symmetry

Abstract The compressible Euler–Riesz equations are fundamental with wide applications in astrophysics, plasma physics, and mathematical biology. In this paper, we are concerned with the global existence and nonlinear stability of finite-energy solutions of the multidimensional E...

Bayesian inference of lineage trees by joint analysis of single-cell multimodal lineage-tracing data with BiLinT

Abstract The advent of single-cell lineage-tracing technologies has enabled simultaneous measurement of gene expression and lineage barcodes. However, integrating these modalities for high-resolution lineage reconstruction has remained challenging due to limitations of methods th...

Tourism Demand Probabilistic Interval Forecasting Approach With Integrated Deep PatchTST‐GMM Model

ABSTRACT Tourism demand forecasting is an important guide for decision‐making in related industries, especially because interval forecasting can provide managers with more decision‐relevant information than a single point estimate. In order to better forecast tourism demand, this...

Null geometric algebra with geometric interpretation

Abstract Null geometric algebra (NGA) refers to a basis-free version of Clifford algebra where the base vector space is spanned by vectors whose inner product with itself equals zero. It provides powerful tools for manipulating expressions in conformal geometric algebra (CGA) whe...

AFIRE: Accurate and Fast Image REconstruction Algorithm for Geometric-Inconsistent Multispectral CT

Abstract. For nonlinear multispectral computed tomography (CT), accurate and fast image reconstruction is challenging when the scanning geometric parameters under different X-ray energy spectra are inconsistent or mismatched. Motivated by this, we propose an Accurate and Fast Ima...