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Pseudo-Polynomial Time Algorithm for Computing Moments of Polynomials in Free Semicircular Elements
January 24, 2019 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Rei Mizuta
arXiv ID
1901.08210
Category
math.OA
Cross-listed
cs.DS,
math.PR
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
We consider about calculating $M$th moments of a given polynomial in free independent semicircular elements in free probability theory. By a naive approach, this calculation requires exponential time with respect to $M$. We explicitly give an algorithm for calculating them in polynomial time by rearranging SchΓΌtzenberger's algorithm.
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