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From: OsherD on 30 Apr 2010 23:38
From Osher Doctorow

Benoit Collins, Ion Nechita, and Karol Zyczkowski of respectively U.
Ottawa Canada, U. Ottawa Canada, and Jagiellionian U. Krakow Poland,
in "Random graph states, maximal flow, and Fuss-Catalan
distributinos," arXiv: 1003.3075 v1 [quant-ph] 16 Mar 2010, 38 pages,
relate Catalan Numbers (see my recent posts in this thread), Fuss-
Catalan Distributions, and the Unitary Weingarten Function with
Weingarten Calculus to Quantum Entropy.

The Weingarten Function was proven by Collins in 2003 to be factored
under a major domain into a product of ith Catalan Numbers and PI(n -
j)^(-1) where PI is the product of the indicated factors with j
between -d + 1 and d - 1, times (-1)^(d-1). The Weingarten Function
that equals these factor products is symbolized Wg(n, (1, ..., d)).

The Weingarten Function itself Wg(n, sigma) is defined as a function
of a dimensional parameter n and of a permutation sigma on the
symmetric group S_p, with slightly more details for specifying it
which I will not discuss here.

Osher Doctorow
From: OsherD on 30 Apr 2010 23:41
From Osher Doctorow

I meant to type "distributions," not "distributinos".

Osher Doctorow
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