Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold [PDF]
arXiv, 2017 We study concentration phenomena of eigenfunctions of the Laplacian on closed Riemannian manifolds. We prove that the volume measure of a closed manifold concentrates around nodal sets of eigenfunctions exponentially. Applying the method of Colding and Minicozzi we also prove restricted exponential concentration inequalities and restricted Sogge-type ...
arxiv
Neural Geometry Processing via Spherical Neural Surfaces
Computer Graphics Forum, EarlyView.Abstract Neural surfaces (e.g., neural map encoding, deep implicit, and neural radiance fields) have recently gained popularity because of their generic structure (e.g., multi‐layer perceptron) and easy integration with modern learning‐based setups. Traditionally, we have a rich toolbox of geometry processing algorithms designed for polygonal meshes to
Romy Williamson, Niloy J. Mitra
wiley +1 more source
Correction to My Paper “On Titchmarsh-kodaira’s Formula Concerning Weyl-Stone’s Eigenfunction Expansion” in Nagoya Mathematical Journal, Vol. 1 (1950), 49–58 [PDF]
, 1953 Kôsaku Yosida
openalex +1 more source
S‐ACORD: Spectral Analysis of COral Reef Deformation
Computer Graphics Forum, EarlyView.Abstract We propose an efficient pipeline to register, detect, and analyze changes in 3D models of coral reefs captured over time. Corals have complex structures with intricate geometric features at multiple scales. 3D reconstructions of corals (e.g., using Photogrammetry) are represented by dense triangle meshes with millions of vertices.
Naama Alon‐Borissiouk +3 more
wiley +1 more source
Iterative Method for Solution of the One-Dimensional Wave Equation: Eigenvalues and Eigenfunctions for L-J (12, 6) and Exponential (α, 6) Interatomic Potentials [PDF]
, 1963 Halstead Harrison, Richard B. Bernstein
openalex +2 more sources
Spectral Properties of the Laplace Operator with Variable Dependent Boundary Conditions in a Disk
AxiomsIn this work, we study the spectral properties of the Laplace operator with variable dependent boundary conditions in a disk. The boundary conditions include periodic and antiperiodic boundary conditions as well as the generalized Samarskii–Ionkin-type ...
Aishabibi Dukenbayeva, Makhmud Sadybekov
doaj +1 more source
Singularity at the origin of the Schrodinger Eigenfunction in the Coulomb field [PDF]
, 1948 Gentaro Araki
openalex +1 more source
Value distribution for eigenfunctions of desymmetrized quantum maps [PDF]
arXiv, 2001 We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous paper it was observed that there are quantum symmetries of the quantum map - a commutative group of unitary operators which commute with the map, which we called ``Hecke ...
arxiv
Clustering Longitudinal Data: A Review of Methods and Software Packages
International Statistical Review, EarlyView.Summary Clustering of longitudinal data is becoming increasingly popular in many fields such as social sciences, business, environmental science, medicine and healthcare. However, it is often challenging due to the complex nature of the data, such as dependencies between observations collected over time, missingness, sparsity and non‐linearity, making ...
Zihang Lu
wiley +1 more source
On the limit of the coefficients of the eigenfunction series associated with a certain non-self-adjoint differential system [PDF]
, 1956 Luna I. Mishoe, Gloria C. Ford
openalex +1 more source