This simulation uses WebAssembly and the Eigen library to compute eigenvalues
of a Gaussian Orthogonal Ensemble (GOE) matrix. The visualization is done with d3.js.
50
Top 5 Eigenvalues:
5 Eigenvalues around zero:
Top 10 Eigenvalues (Point Process):
20 Eigenvalues Around Zero (Point Process):
Histogram of eigenvalues:
Heatmap of matrix elements:
code
(note: parameters in the code might differ from the ones in
simulation results below)
Link to code
(This simulation is interactive, written in JavaScript, see the source code of this page at the link)
Feel free to use code (unless otherwise specified next to the corresponding link),
data, and visualizations to illustrate your research in talks and papers,
with attribution (CC BY-SA 4.0).
Some images are available in very high resolution upon request.
I can also produce other simulations upon request - email me at lenia.petrov@gmail.com
This material is based upon work supported by the National Science Foundation under Grant DMS-2153869