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Distance two Heegaard splittings, JSJ decompositions and ranks of 3-manifolds

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science China Mathematics 2025年

作者： Wenjie Diao Yanqing Zou school of mathematical sciences East China Normal University Shanghai Key Laboratory of Pure Mathematics and mathematical Practice East China Normal University

For any pair of integers g and n with g ≥ 3 and 1 ≤ n ≤ g, we build a 3-manifold with a distance-2,genus-g Heegaard splitting so that(1) it contains n pairwise disjoint and nonisotopic essential tori;(2) after it is cut open along these tori, one resulting piece is hyperbolic while the others are small Seifert fibered spaces;(3) it provides a substantial result to the rank versus genus problem. These generalize a result in Qiu and Zou(2019).

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An equivariant index theorem on R~n in the context of continuous fields of C*-algebras

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science China Mathematics 2025年

作者： Baiying Ren Hang Wang Zijing Wang Research Center for Operator Algebras School of Mathematical SciencesEast China Normal University

We prove an equivariant index theorem on the Euclidean space using a continuous field of C*-algebras. This generalizes the work of Elliott et al.（1996）, which is a special case of the algebraic index theorem by Nest and Tsygan （1995）. Using our formula, we see that the equivariant index of the Bott-Dirac operator on R2ncan be explicitly calculated.

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Electrode/Electrolyte Optimization‑Induced Double‑Layered Architecture for High‑Performance Aqueous Zinc‑(Dual)Halogen Batteries

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Nano-Micro Letters 2025年第3期17卷 121-137页

作者： Chengwang Zhou Zhezheng Ding Shengzhe Ying Hao Jiang Yan Wang Timing Fang You Zhang Bing Sun Xiao Tang Xiaomin Liu school of Textiles and Clothing School of Chemistry and Chemical EngineeringQingdao UniversityQingdao 266071ShandongPeople’s Republic of China Centre for Clean Energy Technology School of Mathematical and Physical SciencesFaculty of ScienceUniversity of Technology SydneyUltimoNSW 2007Australia school of Chemistry and Chemical Engineering Henan Normal UniversityXinxiang 453007HenanPeople’s Republic of China

Aqueous zinc-halogen batteries are promising candidates for large-scale energy storage due to their abundant resources,intrinsic safety,and high theoretical ***,the uncontrollable zinc dendrite growth and spontaneous shuttle effect of active species have prohibited their practical ***,a double-layered protective film based on zinc-ethylenediamine tetramethylene phosphonic acid(ZEA)artificial film and ZnF2-rich solid electrolyte interphase(SEI)layer has been successfully fabricated on the zinc metal anode via electrode/electrolyte synergistic *** ZEA-based artificial film shows strong affinity for the ZnF2-rich SEI layer,therefore effectively suppressing the SEI breakage and facilitating the construction of double-layered protective film on the zinc metal *** double-layered architecture not only modulates Zn2+flux and suppresses the zinc dendrite growth,but also blocks the direct contact between the metal anode and electrolyte,thus mitigating the corrosion from the active *** employing optimized metal anodes and electrolytes,the as-developed zinc-(dual)halogen batteries present high areal capacity and satisfactory cycling *** work provides a new avenue for developing aqueous zinc-(dual)halogen batteries.

关键词： Zn metal anodes Double-layered protective film Electrode/electrolyte optimization Aqueous zinc-(dual)halogen batteries

Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus

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science China Mathematics 2025年

作者： Xin Lü Shengli Tan Kang Zuo school of mathematical sciences Key Laboratory of Mathematics and Engineering Applications(Ministry of Education) Shanghai Key Laboratory of Pure Mathematics and Mathematical PracticeEast China Normal University school of Mathematics and Statistics Wuhan University Institut für Mathematik Universit?t Mainz

We show that there does not exist any Shimura curve with a strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus g≥4. In particular, Shimura curves of Mumford type are not...

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Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons

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science China Mathematics 2025年第1期 223-252页

作者： Weidong Liu Dennis Leung Qi-Man Shao school of mathematical sciences Shanghai Jiao Tong University school of Mathematics and Statistics University of Melbourne Department of Statistics and Data science SICMSouthern University of Science and Technology

In a one-way analysis-of-variance(ANOVA) model,the number of pairwise comparisons can become large even with a moderate number of *** by this,we consider a regime with a growing number of groups and prove that,when testing pairwise comparisons,the Benjamini-Hochberg(BH) procedure can asymptotically control false discoveries,despite the fact that the involved t-statistics do not exhibit the wellknown positive dependence structure required for exact false discovery rate(FDR) *** Tukey's perspective that the difference between the means of any two groups cannot be exactly zero,our main result provides control over the directional false discovery rate and directional false discovery proportion.A key technical contribution of our work is demonstrating that the dependence among the t-statistics is sufficiently weak to establish the convergence result typically required for asymptotic FDR *** analysis does not rely on conventional assumptions such as normality,variance homogeneity,or a balanced design,thereby offering a theoretical foundation for applications in more general settings.

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Weak KAM theory for two classes of almost periodic Hamiltonian systems

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science China Mathematics 2025年

作者： Xun Niu Kaizhi Wang Yong Li school of Mathematics and Statistics Center for Mathematics and Interdisciplinary SciencesNortheast Normal University school of mathematical sciences Shanghai Frontier Science Center of Modern Analysis (CMA-Shanghai)Shanghai Jiao Tong University Institute of Mathematics Jilin University

The purpose of this paper is to investigate the dynamics of Bohr almost periodic and Levitan almost periodic Hamiltonian systems via the weak KAM theory. We obtain minimal measures and weak KAM solutions in both cases. The weak KAM solution is a weak solution to the Hamilton-Jacobi equation, which formally transforms the original Hamiltonian systems into an integrable one. Consequently, we get the existence of an invariant torus in the aforementioned weak sense.

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AI-Enhanced Secure Data Aggregation for Smart Grids with Privacy Preservation

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Computers, Materials & Continua 2025年第1期82卷 799-816页

作者： Congcong Wang Chen Wang Wenying Zheng Wei Gu school of Software Nanjing University of Information Science and TechnologyNanjing210044China school of Information science and Engineering Zhejiang Sci-Tech UniversityHangzhou310018China State Key Laboratory of Public Big Data Guizhou UniversityGuiyang550025China school of Computer science and Technology(school of Artificial Intelligence) Zhejiang Sci-Tech UniversityHangzhou310018China school of Computer science(school of Cyber science and Engineering) Nanjing University of Information Science and TechnologyNanjing210044China

As smart grid technology rapidly advances,the vast amount of user data collected by smart meter presents significant challenges in data security and privacy *** research emphasizes data security and user privacy concerns within smart ***,existing methods struggle with efficiency and security when processing large-scale *** efficient data processing with stringent privacy protection during data aggregation in smart grids remains an urgent *** paper proposes an AI-based multi-type data aggregation method designed to enhance aggregation efficiency and security by standardizing and normalizing various data *** approach optimizes data preprocessing,integrates Long Short-Term Memory(LSTM)networks for handling time-series data,and employs homomorphic encryption to safeguard user *** also explores the application of Boneh Lynn Shacham(BLS)signatures for user *** proposed scheme’s efficiency,security,and privacy protection capabilities are validated through rigorous security proofs and experimental analysis.

关键词： Smart grid data security privacy protection artificial intelligence data aggregation

Constraints on holographic QCD phase transitions from PTA observations

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science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 71-78页

作者： Song He Li Li Sai Wang Shao-Jiang Wang Center for Theoretical Physics and College of Physics Jilin University school of Physical science and Technology Ningbo University Max Planck Institute for Gravitational Physics (Albert Einstein Institute) CAS Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences school of Fundamental Physics and mathematical sciences Hangzhou Institute for Advanced StudyUniversity of Chinese Academy of Sciences (UCAS) school of Physical sciences University of Chinese Academy of Sciences (UCAS) Theoretical Physics Division Institute of High Energy Physics Chinese Academy of Sciences

The underlying physics of QCD phase transition in the early Universe remains largely unknown due to its strong-coupling nature during the quark-gluon plasma/hadron gas transition, yet a holographic model has been proposed to quantitatively fit the lattice QCD data while with its duration of the first-order phase transition(FoPT) left undetermined. At specific baryon chemical potential, the first-order QCD phase transition agrees with the observational constraint of baryon asymmetry. It, therefore, provides a scenario for phase transition gravitational waves(GWs) within the standard model of particle physics. If these background GWs could contribute dominantly to the recently claimed common-spectrum red noise from pulsar timing array(PTA) observations, the duration of this FoPT can be well constrained, and the associated primordial black holes are still allowed by current observations.

关键词： pulsar timing array QCD phase transition gravitational waves primordial black holes

Entire Solutions of Fermat-Type Partial Differential-Difference Equations in■

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Journal of mathematical Research with Applications 2025年第1期 56-72页

作者： Caoqiang TANG Zhigang HUANG school of mathematical sciences Suzhou University of Science and Technology

Abstract In this paper,we mainly investigate the forms of entire solutions for certain Fermattype partial differential-difference equations in ■by using Nevanlinna’s theory of several complex variables.

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