Calculations
Averages of products of matrix elements in the circular ensembles can be calculated using Weingarten functions. For large dimension of the matrix these calculations become impractical, and a numerical method is advantageous. There exist efficient algorithms to generate random matrices in the circular ensembles.
Read more about this topic: Circular Ensemble
Famous quotes containing the word calculations:
“What, really, is wanted from a neighborhood? Convenience, certainly, an absence of major aggravation, to be sure. But perhaps most of all, ideally, what is wanted is a comfortable background, a breathing space of intermission between the intensities of private life and the calculations of public life.”
—Joseph Epstein (b. 1937)
“The vulgar call good fortune that which really is produced by the calculations of genius.”
—Ralph Waldo Emerson (1803–1882)
“Heaven’s calculations don’t follow man’s calculations.”
—Chinese proverb.