On the diffusion geometry of graph Laplacians and applications
From MaRDI portal
Publication:2415409
DOI10.1016/j.acha.2018.04.001zbMath1412.35353arXiv1611.03033OpenAlexW2962894265WikidataQ129904571 ScholiaQ129904571MaRDI QIDQ2415409
Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger
Publication date: 21 May 2019
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.03033
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of graph theory to circuits and networks (94C15) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items
Three conjectures of Ostrander on digraph Laplacian eigenvectors ⋮ The geometry of nodal sets and outlier detection ⋮ Spectral clustering revisited: information hidden in the Fiedler vector ⋮ Detecting localized eigenstates of linear operators ⋮ A Metric on Directed Graphs and Markov Chains Based on Hitting Probabilities
Cites Work
- Sharp \(L^1\)-Poincaré inequalities correspond to optimal hypersurface cuts
- On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\)
- A counterexample to the ``hot spots conjecture
- On the ``hot spots conjecture of J. Rauch
- Brownian motion and the fundamental frequency of a drum
- Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
- Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
- Metastability and low lying spectra in reversible Markov chains
- Nodal geometry, heat diffusion and Brownian motion
- Normalized Cuts Are Approximately Inverse Exit Times
- Lower Bounds on Nodal Sets of Eigenfunctions via the Heat Flow
- Localization of quantum states and landscape functions
- Probabilistic approach to the neumann problem
- On the Location of Maxima of Solutions of Schrödinger's Equation
- Isoperimetric Inequalities and Their Applications
- Unnamed Item
- Unnamed Item
This page was built for publication: On the diffusion geometry of graph Laplacians and applications