Pseudo-Polynomial Time Algorithm for Computing Moments of Polynomials in Free Semicircular Elements
Operator Algebras
2019-01-31 v2 Data Structures and Algorithms
Probability
Abstract
We consider about calculating 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 . We explicitly give an algorithm for calculating them in polynomial time by rearranging Sch\"utzenberger's algorithm.
Cite
@article{arxiv.1901.08210,
title = {Pseudo-Polynomial Time Algorithm for Computing Moments of Polynomials in Free Semicircular Elements},
author = {Rei Mizuta},
journal= {arXiv preprint arXiv:1901.08210},
year = {2019}
}
Comments
10 pages