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3,393 Result(s)
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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...
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On ABC spectral radius of uniform hypergraphs
Let G be a k-uniform hypergraph with vertex set [n] and edge set E(G), where \(k\ge 2\) ...
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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...
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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.
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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...
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Dovgoshey–Hariri–Vuorinen’s metric and Gromov hyperbolicity
In 2016, Dovgoshey et al. introduced a metric \(\zeta \) ζ on proper subdomains G of Euclid...
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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
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Open AccessTriple 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...
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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...
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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...
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Open Access3-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...
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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 \({\mathbb {Z}}_n^2\) ...
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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
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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 ...
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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...
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Existence of positive solutions to the biharmonic equations in \(\mathbb {R}^{N}\)
This article considers the biharmonic equation $$\begin{aligned} \Delta ^{2}u=K(x)f(u)\quad \text {in }~\mathbb { R}^{N}. \end{aligned}$$ ...
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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 \(c_{0}>1\) ...
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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...
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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...
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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...