التفاصيل البيبلوغرافية
| العنوان: |
Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel. |
| المؤلفون: |
Dai, Dan, Xu, Shuai-Xia, Zhang, Lun |
| المصدر: |
Communications in Mathematical Physics; Mar2021, Vol. 382 Issue 3, p1769-1809, 41p |
| مصطلحات موضوعية: |
STATISTICAL physics, RIEMANN-Hilbert problems, STATISTICAL models, RANDOM matrices, EIGENVALUES, STATISTICS |
| مستخلص: |
The Pearcey kernel is a classical and universal kernel arising from random matrix theory, which describes the local statistics of eigenvalues when the limiting mean eigenvalue density exhibits a cusp-like singularity. It appears in a variety of statistical physics models beyond matrix models as well. We consider the Fredholm determinant of a trace class operator acting on L 2 - s , s with the Pearcey kernel. Based on a steepest descent analysis for a 3 × 3 matrix-valued Riemann-Hilbert problem, we obtain asymptotics of the Fredholm determinant as s → + ∞ , which is also interpreted as large gap asymptotics in the context of random matrix theory. [ABSTRACT FROM AUTHOR] |
|
Copyright of Communications in Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Find this article in full text from Springer Verlag. 
Full Text Finder