10178
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Eigenvalues of Random Symmetric Matrices
Watch how the eigenvalues of random symmetric matrices approach a universal distribution as the size of the matrix increases.
Contributed by:
Stephen Wolfram
and
Michael Trott
THINGS TO TRY
Slider Zoom
SNAPSHOTS
DETAILS
The eigenvalues (or their differences) are sorted, and plotted in sequence.
With diagonal exponent
, the constant
is added to each element on the diagonal.
RELATED LINKS
Random Matrix
(
Wolfram
MathWorld
)
Wigner's Semicircle Law
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Eigenvalues of Random Symmetric Matrices
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EigenvaluesOfRandomSymmetricMatrices/
Contributed by:
Stephen Wolfram
and
Michael Trott
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Eigenvalues of Cellular Automaton Matrices
Stephen Wolfram
Superimposed Gaussians
Stephen Wolfram
Generic Random Walk and Maximal Entropy Random Walk
Bartlomiej Waclaw
Random Spheres with Power-Law Sizes
Stephen Wolfram
Random Circles with Power-Law Sizes
Stephen Wolfram
Comparing Properties of Chemical Elements
Stephen Wolfram
Properties of Chemical Elements
Stephen Wolfram
Statistical Behavior of a Set of Uniformly Rotating Independent Particles with Random Frequencies
Martina Luigi
Percolation on a Square Grid
Stephen Wolfram
Polynomial Fits of Random Walks
Michael Schreiber
Related Topics
Linear Algebra
Quantum Physics
Random Processes
Statistical Mechanics
Statistics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+