Spectral properties of distance matrices

  title={Spectral properties of distance matrices},
  author={Eug{\`e}ne Bogomolny and Oriol Bohigas and Charles Schmit},
Distance matrices are matrices whose elements are the relative distances between points located on a certain manifold. In all cases considered here all their eigenvalues except one are non-positive. When the points are uncorrelated and randomly distributed we investigate the average density of their eigenvalues and the structure of their eigenfunctions. The… CONTINUE READING