Hariharan Narayanan
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Estimating deep Littlewood-Richardson Coefficients
dmtcs:2403 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2014,
DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
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https://doi.org/10.46298/dmtcs.2403
Estimating deep Littlewood-Richardson CoefficientsConference paper
Authors: Hariharan Narayanan 1,2
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Hariharan Narayanan
1 Department of Statistics
2 Department of Mathematics [Seattle]
Littlewood Richardson coefficients are structure constants appearing in the representation theory of the general linear groups $(GL_n)$. The main results of this paper are: 1. A strongly polynomial randomized approximation scheme for Littlewood-Richardson coefficients corresponding to indices sufficiently far from the boundary of the Littlewood Richardson cone. 2. A proof of approximate log-concavity of the above mentioned class of Littlewood-Richardson coefficients.
Hariharan Narayanan;Scott Sheffield, 2024, Large deviations for random hives and the spectrum of the sum of two random matrices, arXiv (Cornell University), 52, 3, 10.1214/24-aop1687, http://arxiv.org/abs/2111.00421.
Hariharan Narayanan;Scott Sheffield;Terence Tao, 2023, Sums of GUE matrices and concentration of hives from correlation decay of eigengaps, Probability Theory and Related Fields, 190, 3-4, pp. 1121-1165, 10.1007/s00440-023-01250-4.