On the ratio probability of the smallest eigenvalues in the Laguerre unitary ensemble
We study the probability distribution of the ratio between the second smallest and smallest eigenvalue in the n × n Laguerre unitary ensemble. The probability that this ratio is greater than r > 1 is expressed in terms of an n × n Hankel determinant with a perturbed Laguerre weight. The limit...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
IOP Publishing
2018
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