The defect of toral Laplace eigenfunctions and arithmetic random waves

Keyphrases

• Eigenfunctions 100%
• Laplace Eigenfunctions 100%
• Arithmetic Random Waves 100%
• Planck Scale 33%
• Spatial Variables 16%
• Probability Measure 16%
• Standard Torus 16%
• Signed Area 16%
• Area Distribution 16%
• Gaussian Probability 16%
• Hexagonal Torus 16%
• Large Defects 16%
• Associated Symmetry 16%
• Schmidt's Subspace Theorem 16%
• Defect Area 16%

Mathematics

• Eigenvector 100%
• Gaussian Distribution 50%
• Variance 37%
• Lower and upper bounds 12%
• Probability Measure 12%
• Spatial Variable 12%
• Subspace Theorem 12%