Discrete Nodal Domain Theorems
Spectral Theory
2007-05-23 v1
Abstract
We give a detailed proof for two discrete analogues of Courant's Nodal Domain Theorem.
Keywords
Cite
@article{arxiv.math/0009120,
title = {Discrete Nodal Domain Theorems},
author = {E. Brian Davies and Josef Leydold and Peter F. Stadler},
journal= {arXiv preprint arXiv:math/0009120},
year = {2007}
}
Related papers
View all related →
Spectral Theory · Mathematics
Courant's Nodal Domain Theorem for Positivity Preserving Forms
Matthias Keller, Michael Schwarz
2017-12-21
Spectral Theory · Mathematics
On Courant's nodal domain property for linear combinations of eigenfunctions, Part II
Pierre Bérard, Bernard Helffer
2022-01-04
Classical Analysis and ODEs · Mathematics
On a discrete approach to lower bounds in discrepancy theory
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante, Alessandro Monguzzi
2025-03-06
Analysis of PDEs · Mathematics
On Courant's nodal domain property for linear combinations of eigenfunctions, Part I
Pierre Bérard, Bernard Helffer
2022-01-11
Analysis of PDEs · Mathematics
The divergence theorem and nonlocal counterparts
Solveig Hepp, Moritz Kassmann
2024-03-06
Analysis of PDEs · Mathematics
A Courant nodal domain theorem for linearized mean field type equations
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
2023-07-25
Classical Analysis and ODEs · Mathematics
On the discrete analogues of Appell function $F_2$
Ravi Dwivedi, Vivek Sahai
2024-09-13
Spectral Theory · Mathematics
Pleijel nodal domain theorem in non-smooth setting
Nicolò De Ponti, Sara Farinelli, Ivan Yuri Violo
2023-09-27
Analysis of PDEs · Mathematics
Local version of Courant's nodal domain theorem
S. Chanillo, A. Logunov, E. Malinnikova, D. Mangoubi
2024-06-06
Analysis of PDEs · Mathematics
Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions
Corentin Léna
2016-12-15
Combinatorics · Mathematics
Simple Proofs of two Dirac-type Theorems Involving Connectivity
Karlen Mosesyan, Mher Nikoghosyan, Zhora Nikoghosyan
2009-07-27
Mathematical Physics · Physics
Extensions of Noether's Second Theorem: from continuous to discrete systems
Peter E. Hydon, Elizabeth L. Mansfield
2015-05-27
Commutative Algebra · Mathematics
Duality and Tameness
Marc Chardin, Steven Dale Cutkosky, Juergen Herzog, Hema Srinivasan
2007-05-23
Classical Analysis and ODEs · Mathematics
Duality of orthogonal polynomials on a finite set
Alexei Borodin
2015-06-26
Differential Geometry · Mathematics
On eigenfunctions and nodal sets of the Witten-Laplacian
Ruifeng Chen, Jing Mao, Chuanxi Wu
2026-02-10
Algebraic Topology · Mathematics
Construction of the discrete Morse complex in the non-compact case
Michał Kukieła
2012-04-03
Analysis of PDEs · Mathematics
Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and {\AA}. Pleijel's analyses
Pierre Bérard, Bernard Helffer
2022-01-11
Complex Variables · Mathematics
Domains of Holomorphy
V. Nestoridis
2017-05-30
Algebraic Geometry · Mathematics
Supplement to the paper "On existence of log minimal models II"
Caucher Birkar
2011-04-27
Exactly Solvable and Integrable Systems · Physics
A Laplace ladder of discrete Laplace equations
Maciej Nieszporski
2016-09-08
Mathematical Physics · Physics
2D discrete Hodge-Dirac operator on the torus
Volodymyr Sushch
2024-05-27
Dynamical Systems · Mathematics
A concise proof of the Multiplicative Ergodic Theorem on Banach spaces
Cecilia González-Tokman, Anthony Quas
2016-12-05
Chaotic Dynamics · Physics
Counting nodal domains
Georg Foltin
2007-05-23
Algebraic Geometry · Mathematics
A differential analog of a theorem of Chevalley
Victor G. Kac
2014-01-17
General Physics · Physics
Discrete Noether Currents
Gerhart Seidl
2026-02-09