The sine process under the influence of a varying potential
| dc.contributor.author | Bothner, Thomas | |
| dc.contributor.author | Deift, Percy | |
| dc.contributor.author | Its, Alexander | |
| dc.contributor.author | Krasovsky, Igor | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2019-04-12T14:29:24Z | |
| dc.date.available | 2019-04-12T14:29:24Z | |
| dc.date.issued | 2018-09 | |
| dc.description.abstract | We review the authors’ recent work where we obtain the uniform large s asymptotics for the Fredholm determinant D(s,γ)≔det(I−γKs↾L2(−1,1)), 0 ≤ γ ≤ 1. The operator Ks acts with kernel Ks(x, y) = sin(s(x − y))/(π(x − y)), and D(s, γ) appears for instance in Dyson’s model of a Coulomb log-gas with varying external potential or in the bulk scaling analysis of the thinned Gaussian unitary ensemble. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Bothner, T., Deift, P., Its, A., & Krasovsky, I. (2018). The sine process under the influence of a varying potential. Journal of Mathematical Physics, 59(9), 091414. https://doi.org/10.1063/1.5050394 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/18840 | |
| dc.language.iso | en | en_US |
| dc.publisher | AIP | en_US |
| dc.relation.isversionof | 10.1063/1.5050394 | en_US |
| dc.relation.journal | Journal of Mathematical Physics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | Author | en_US |
| dc.subject | Fredholm determinant | en_US |
| dc.subject | Euler-Mascheroni constant | en_US |
| dc.subject | asymptotic analysis | en_US |
| dc.title | The sine process under the influence of a varying potential | en_US |
| dc.type | Article | en_US |