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Some fundamental problems in global Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 The geometry and analysis on Finsler manifolds is a very important part of Finsler geometry. In this survey article, we introduce some important and fundamental topics in global Finsler geometry and discuss the related properties and the relationships in
Xinyue Cheng
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Some recent developments on the Steklov eigenvalue problem [PDF]
Revista Matemática Complutense, 2022 The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments linking the Steklov eigenvalues and eigenfunctions of compact Riemannian ...
B. Colbois +3 more
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Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold
Mathematics, 2022 In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated.
Apurba Saha +4 more
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The Square of Some Generalized Hamming Graphs
Mathematics, 2023 In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs.
Yipeng Li, Jing Zhang, Meili Wang
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Construction and Application of Discrete-Time-Domain Framework -based Power-Grid State Space
Zhongguo dianli, 2022 To obtain the eigenvalue more efficiently and conveniently, a discrete time domain model (DTDM) based state space construction method is proposed for power grids, and the stability criterion of is presented.
Wei XIONG +4 more
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Mathematics, 2022 A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are proposed, depending on the properties of
Ezgi Erdoğan +1 more
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A variational eigenvalue solver on a photonic quantum processor [PDF]
Nature Communications, 2013 Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable
A. Peruzzo +7 more
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Explorations in Numerical Analysis, 2021 In natural sciences and engineering, are often used differential equations and systems of differential equations. Their solution leads to the problem of eigenvalues.
Morten Hjorth-Jensen
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Properties of Entropy-Based Topological Measures of Fullerenes
Mathematics, 2020 A fullerene is a cubic three-connected graph whose faces are entirely composed of pentagons and hexagons. Entropy applied to graphs is one of the significant approaches to measuring the complexity of relational structures.
Modjtaba Ghorbani +2 more
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AIMS Mathematics, 2020 In this paper we study the global bifurcation of sign-changing radial solutions for some semilinear elliptic problems of order 2m in an annulus with Dirichlet boundary conditions.
Ruyun Ma, Dongliang Yan, Liping Wei
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