The asymptotic behaviour of the discrete holomorphic map Za via the Riemann-Hilbert method
| dc.contributor.author | Bobenko, Alexander I. | |
| dc.contributor.author | Its, Alexander | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2017-06-02T16:57:52Z | |
| dc.date.available | 2017-06-02T16:57:52Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We study the asymptotic behavior of the discrete analogue of the holomorphic map zaza. The analysis is based on the use of the Riemann–Hilbert approach. Specifically, using the Deift–Zhou nonlinear steepest descent method we prove the asymptotic formulas which were conjectured in 2000. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Bobenko, A. I., & Its, A. (2016). The asymptotic behavior of the discrete holomorphic map $ Z^{a} $ via the Riemann–Hilbert method. Duke Mathematical Journal, 165(14), 2607-2682. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/12818 | |
| dc.language.iso | en | en_US |
| dc.publisher | Duke | en_US |
| dc.relation.journal | Duke Mathematical Journal | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | asymptotic behavior | en_US |
| dc.subject | holomorphic map | en_US |
| dc.subject | Riemann-Hilbert approach | en_US |
| dc.title | The asymptotic behaviour of the discrete holomorphic map Za via the Riemann-Hilbert method | en_US |
| dc.type | Article | en_US |