Discrete Green's functions

DOI10.1006/jcta.2000.3094zbMath0963.65120OpenAlexW1993713305MaRDI QIDQ1584654

Publication date: 19 June 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4b7c821d472fee410b473d2b4a7da75ebca8573b

zbMATH Keywords

Markov chains eigenvalues Green's functions Laplace equation eigenfunction expansion integral equation methods

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items

Solving Dirichlet and Poisson problems on graphs by means of equilibrium measures ⋮ The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph ⋮ Some further results on the maximal hitting times of trees with some given parameters ⋮ Graph simplification and matching using commute times ⋮ Vortices on Closed Surfaces ⋮ Analysis vs synthesis with structure -- an investigation of union of subspace models on graphs ⋮ Boundary Value Problems on Finite Networks ⋮ Dirichlet Eigenvalues, Local Random Walks, and Analyzing Clusters in Graphs ⋮ The energy of a simplicial complex ⋮ Harnack's inequality and Green's functions on locally finite graphs ⋮ The \(M\)-matrix group inverse problem for distance-biregular graphs ⋮ Forest formulas of discrete Green's functions ⋮ Green functions on product networks ⋮ Quantum ergodicity for periodic graphs ⋮ Green's function for discrete second-order problems with nonlocal boundary conditions ⋮ Landscape approximation of the ground state eigenvalue for graphs and random hopping models ⋮ Applying topological data analysis to local search problems ⋮ Positive solutions for discrete boundary value problems involving the p-Laplacian with potential terms ⋮ A Hitting Time Formula for the Discrete Green's Function ⋮ Extinction and positivity of the solutions for a \(p\)-Laplacian equation with absorption on graphs ⋮ Extinction and positivity of solutions of the \(p\)-Laplacian evolution equation on networks ⋮ Bandwidth allocation and resource adjustment for stability enhancement in complex networks ⋮ Random walk Green kernels in the neutral Moran model conditioned on survivors at a random time to origin ⋮ Eigenvalues with respect to a weight for general boundary value problems on networks ⋮ The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices ⋮ Hodge decomposition and the Shapley value of a cooperative game ⋮ Inverses of SBP-SAT finite difference operators approximating the first and second derivative ⋮ Graph spectral image smoothing using the heat kernel ⋮ Probabilistic relaxation labelling using the Fokker-Planck equation ⋮ The Dirichlet boundary value problems forp-Schrödinger operators on finite networks ⋮ Diffusion and elastic equations on networks ⋮ Generalized inverses of symmetric \(M\)-matrices ⋮ Potential theory for Schrödinger operators on finite networks ⋮ The \(p\)-Schrödinger equations on finite networks ⋮ An MBO scheme for minimizing the graph Ohta-Kawasaki functional ⋮ Diffuse scattering on graphs ⋮ The hitting times of random walks on bicyclic graphs ⋮ Chung-Yau Invariants and Graphs with Symmetric Hitting Times ⋮ Ricci curvature of graphs ⋮ Splines and wavelets on circulant graphs ⋮ Electrical networks and hyperplane arrangements ⋮ Boundary effects on eigen-problems of discrete Laplacian in lattices ⋮ Geometric unfolding of synchronization dynamics on networks ⋮ Matrix computations with the Omega calculus ⋮ Semi-supervised learning with regularized Laplacian

Cites Work