196,103 research outputs found
Chebotar\"ev's nonvanishing minors for eigenvectors of random matrices and graphs
No full textFor a matrix we establish a
condition on the Galois group of the characteristic polynomial
that induces nonvanishing of the minors of the eigenvector
matrix of . For recent results by Eberhard
show that, conditionally on the extended Riemann hypothesis, this condition is
satisfied with high probability and hence with high probability the minors of
eigenvector matrices of random integer matrices are nonzero. For random graphs
this yields a novel uncertainty principle, related to Chebotar\"ev's theorem on
the roots of unity and results from Tao and Meshulam. We also show the
application in graph signal processing and the connection to the rank of the
walk matrix
Dr. Duane M. Jackson, Morehouse College, July 2011
No full textThis video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer
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