arXiv subjects

Zeyu Zeng

Publications and source records attributed to Zeyu Zeng.

4 recordsLinked to original sources

arXiv2026

Single Lie Brackets on Closed Manifolds

We prove that every smooth vector field on a closed smooth manifold is the Lie bracket of two smooth vector fields. The proof combines a finite transport construction, which allows prescribed data near a compact subset of one level set, with an exact extension across transverse graph disks. A loop of compactly supported transverse diffeomorphisms, followed by a time shear and an inverse shift, corrects an arbitrary scalar transition defect in any prescribed positive width. After arranging a canonical pair near an equator in a flow box, the global extension is completed on two disjoint graph caps. The argument applies in every dimension and requires no orientability hypothesis. All auxiliary extension statements are proved. As a consequence, every smooth function on the cotangent bundle that is linear on each fiber is a Poisson bracket of two such functions.

math.DG↗

arXiv2026

Relativistic corrections to hadron-hadron correlation function

Femtoscopy offers a sensitive probe of hadron emission sources and hadronic interactions. In this study, we examine relativistic corrections to scattering phase shifts and correlation functions using the two-body Dirac equation framework. We analyze the impact of the Darwin term and spin-dependent potentials, showing that these relativistic effects, especially spin-related interactions, significantly enhance the proton-proton correlation function. Our findings emphasize the necessity of including relativistic corrections for precise femtoscopic analyses.

hep-ph↗

arXiv2026

Isotropic Coordinates for Generalized Schwarzschild-like Solutions

We consider a broad class of static, spherically symmetric generalized Schwarzschild-like solutions with multiple non-interacting anisotropic fluid sources and derive the coordinate transformation from Schwarzschild-like (curvature) to isotropic coordinates with conformally flat spatial slices. The isotropic form removes spatial-sector coordinate pathologies at the horizon, clarifies geometric quantities (e.g., ADM mass and curvature invariants), and enables the construction of well-posed initial data on t=const hypersurfaces, suitable for the Hamiltonian and conformal formulations of numerical relativity and for perturbation theory. The backgrounds in isotropic coordinates we develop make it straightforward to separate environmental effects from intrinsic strong-gravity signals and meet the growing interest in non-vacuum black hole phenomenology across scattering, lensing, and waveform modeling.

gr-qc↗

arXiv2023

DEKGCI: A double-sided recommendation model for integrating knowledge graph and user-item interaction graph

Both knowledge graphs and user-item interaction graphs are frequently used in recommender systems due to their ability to provide rich information for modeling users and items. However, existing studies often focused on one of these sources (either the knowledge graph or the user-item interaction graph), resulting in underutilization of the benefits that can be obtained by integrating both sources of information. In this paper, we propose DEKGCI, a novel double-sided recommendation model. In DEKGCI, we use the high-order collaborative signals from the user-item interaction graph to enrich the user representations on the user side. Additionally, we utilize the high-order structural and semantic information from the knowledge graph to enrich the item representations on the item side. DEKGCI simultaneously learns the user and item representations to effectively capture the joint interactions between users and items. Three real-world datasets are adopted in the experiments to evaluate DEKGCI's performance, and experimental results demonstrate its high effectiveness compared to seven state-of-the-art baselines in terms of AUC and ACC.

cs.IR↗