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  1. No Access

    Article

    Minimal measures beyond Mather

    For a positive definite Lagrangian, the minimal measure was defined in terms of first homology or cohomology class. For a configuration manifold that has a larger fundamental group than its first homology grou...

    Min Zhou in Calculus of Variations and Partial Differential Equations (2024)

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    Article

    On ABC spectral radius of uniform hypergraphs

    Let G be a k-uniform hypergraph with vertex set [n] and edge set E(G), where \(k\ge 2\) ...

    Hongying Lin, Bo Zhou in Journal of Combinatorial Optimization (2024)

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    Article

    Non-intrusive polynomial chaos expansion for robust topology optimization of truss-like continuum under random loads

    This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that integrates non-intrusive polynomial chaos expansion (PCE) app...

    **nze Guo, Kemin Zhou in Optimization and Engineering (2024)

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    Article

    Uniform Asymptotic Formulas of Ranks and Cranks for Cubic Partitions

    In this paper, we establish uniform asymptotic formulas for the rank and crank statistics of cubic partitions. This partly improves upon the asymptotic results established by Kim–Kim–Nam in 2016.

    Rongying Lu, Nian Hong Zhou in Bulletin of the Malaysian Mathematical Sciences Society (2024)

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    Article

    Rankin–Cohen brackets of Hilbert Hecke eigenforms

    Over any fixed totally real number field with narrow class number one, we prove that the Rankin–Cohen bracket of two Hecke eigenforms for the Hilbert modular group can only be a Hecke eigenform for dimension r...

    Yichao Zhang, Yang Zhou in The Ramanujan Journal (2024)

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    Article

    Dovgoshey–Hariri–Vuorinen’s metric and Gromov hyperbolicity

    In 2016, Dovgoshey et al. introduced a metric \(\zeta \) ζ on proper subdomains G of Euclid...

    Qingshan Zhou, Zhoucheng Zheng, Saminathan Ponnusamy in Archiv der Mathematik (2024)

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    Article

    Existence and Stability of Fuzzy Slightly Altruistic Equilibrium for a Class of Generalized Multiobjective Fuzzy Games

    We mainly study the existence, structural stability and robustness of fuzzy slightly altruistic equilibria for a class of generalized multiobjective fuzzy games which are expressed as

    Jian-** Tian, Wen-sheng Jia, Li Zhou in Journal of Optimization Theory and Applications (2024)

  8. Article

    Open Access

    Triple Mixed Integral Transformation and Applications for Initial-Boundary Value Problems

    In this paper, we establish a new integral transformation method for solving the initial-boundary value problems of the partial differential equations. The method is a combined expression mainly based on the t...

    Chun Wang, Tian-Zhou Xu in Journal of Nonlinear Mathematical Physics (2024)

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    Article

    Sequential good lattice point sets for computer experiments

    Sequential Latin hypercube designs (SLHDs) have recently received great attention for computer experiments, with much of the research restricted to invariant spaces. The related systematic construction methods...

    Xue-Ru Zhang, Yong-Dao Zhou, Min-Qian Liu, Dennis K. J. Lin in Science China Mathematics (2024)

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    Article

    Peer effect and dynamic ALM games among insurers

    Technology advances have enhanced competition in insurance industry. This paper investigates a class of dynamic asset and liability management(ALM) games among insurers with mean-variance of relative log retur...

    Chao Deng, **zhi Su, Chao Zhou in Mathematics and Financial Economics (2024)

  11. Article

    Open Access

    3-pre-Leibniz Algebras, Deformations and Cohomologies of Relative Rota-Baxter Operators on 3-Leibniz Algebras

    In this paper, first we introduce the notions of 3-pre-Leibniz algebras and relative Rota-Baxter operators on 3-Leibniz algebras. We show that a 3-pre-Leibniz algebra gives rise to a 3-Leibniz algebra and a re...

    Meiyan Hu, Shuai Hou, Lina Song, Yanqiu Zhou in Journal of Nonlinear Mathematical Physics (2024)

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    Article

    A Fuglede type conjecture for discrete Gabor bases

    This paper addresses the link between the characterization of spectral sets for orthogonal Fourier bases in \({\mathbb {Z}}_n^2\) ...

    Weiqi Zhou in Banach Journal of Mathematical Analysis (2024)

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    Article

    Tumor Growth with a Necrotic Core as an Obstacle Problem in Pressure

    Motivated by the incompressible limit of a cell density model, we propose a free boundary tumor growth model where the pressure satisfies an obstacle problem on an evolving domain

    Xu’an Dou, Chengfeng Shen, Zhennan Zhou in Acta Applicandae Mathematicae (2024)

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    Article

    Efficient and Exact Multimarginal Optimal Transport with Pairwise Costs

    We address the numerical solution to multimarginal optimal transport (MMOT) with pairwise costs. MMOT, as a natural extension from the classical two-marginal optimal transport, has many important applications ...

    Bohan Zhou, Matthew Parno in Journal of Scientific Computing (2024)

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    Article

    Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats

    In this paper, we study the existence of spread speeds and periodic traveling waves for a class of space–time periodic and degenerate cooperative systems with nonlocal dispersal and delays. In order to charact...

    Rong Zhou, Shi-Liang Wu, **ong-**ong Bao in Journal of Nonlinear Science (2024)

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    Article

    Existence of positive solutions to the biharmonic equations in \(\mathbb {R}^{N}\)

    This article considers the biharmonic equation $$\begin{aligned} \Delta ^{2}u=K(x)f(u)\quad \text {in }~\mathbb { R}^{N}. \end{aligned}$$ ...

    Wenbo Wang, Jixiang Ma, Jianwen Zhou in Annals of Functional Analysis (2024)

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    Article

    On a Conjecture of Petrov and Tolev Related to Chen’s Theorem

    For any real number y, let [y] be the largest integer not exceeding y. Petrov and Tolev conjectured that there exists a constant \(c_{0}>1\) ...

    Guang-Liang Zhou, Yingchun Cai in Bulletin of the Malaysian Mathematical Sciences Society (2024)

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    Article

    Initial Value and Terminal Value Problems for Distributed Order Fractional Diffusion Equations

    In this work, we introduce and study two problems for diffusion equations with the distributed order fractional derivatives including the initial value problem and the terminal value problem. For the initial v...

    Li Peng, Yong Zhou in Qualitative Theory of Dynamical Systems (2024)

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    Article

    The Necessary and Sufficient Conditions of Exponential Stability for Heat and Wave Equations with Memory

    This paper is addressed to a study of the stability of heat and wave equations with memory The necessary and sufficient conditions of the exponential stability are investigated by the theory of Laplace transfo...

    Lingfei Li, **aoyi Zhang, **uxiang Zhou in Journal of Systems Science and Complexity (2024)

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    Article

    Quasi-shadowing for ℤd-actions

    A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a C1-smooth ℤd-action has the quasi-shadowing property if one of t...

    Juan Pan, **an Kun Ren, Yun Hua Zhou in Acta Mathematica Sinica, English Series (2024)

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