Bleher, Pavel M., Deaño, Alfredo (2012) Topological expansion in the cubic random matrix model. International Mathematics Research Notices, 12 (1). pp. 2699-2755. ISSN 1073-7928. (doi:10.1093/imrn/rns126) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70215)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: https://doi.org/10.1093/imrn/rns126 |
Abstract
In this paper, we study the topological expansion in the cubic random matrix model, and we evaluate explicitly the expansion coefficients for genus 0 and 1. For genus 0 our formula coincides with the one in [6]. For higher genus, we obtain the asymptotic behavior of the coefficients in the expansion as the number of vertices of the associated graphs tends to infinity. Our study is based on the Riemann–Hilbert problem, string equations, and the Toda equation.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1093/imrn/rns126 |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Alfredo Deano Cabrera |
| Date Deposited: | 20 Nov 2018 18:02 UTC |
| Last Modified: | 16 Nov 2021 10:25 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70215 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Deaño, Alfredo.
| Creator's ORCID: |
 https://orcid.org/0000-0003-1704-247X
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