Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898391 | Journal of Geometry and Physics | 2016 | 14 Pages |
Abstract
We derive the Do and Norbury recursion formula for the one-loop mean of an irregular spectral curve from a variant of replica method by BrezÃn and Hikami. We express this recursion in special times in which all terms W1(g) of the genus expansion of the one-loop mean are polynomials. We generalize this recursion to the case of generalized Laguerre ensembles corresponding to unicellular bicolored maps with different weights of vertices of different colors.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Leonid O. Chekhov,