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pro vyhledávání: '"Allan K. Trinh"'
Autor:
Peter J. Forrester, Allan K. Trinh
Publikováno v:
Nuclear Physics B, Vol 938, Iss , Pp 621-639 (2019)
The β ensembles are a class of eigenvalue probability densities which generalise the invariant ensembles of classical random matrix theory. In the case of the Gaussian and Laguerre weights, the corresponding eigenvalue densities are known in terms o
Externí odkaz:
https://doaj.org/article/d8821d2a38f74ca09c46dc5cd65614e0
Autor:
Peter J. Forrester, Allan K. Trinh
Publikováno v:
Studies in Applied Mathematics. 143:315-336
A fundamental question in random matrix theory is to quantify the optimal rate of convergence to universal laws. We take up this problem for the Laguerre β ensemble, characterized by the Dyson parameter β, and the Laguerre weight (Formula presented
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa757b897eb3b79bb6b967f64ca147ef
https://doi.org/10.1111/sapm.12279
https://doi.org/10.1111/sapm.12279
Publikováno v:
Journal of Approximation Theory. 271:105633
Previous works have considered the leading correction term to the scaled limit of various correlation functions and distributions for classical random matrix ensembles and their β generalisations at the hard and soft edge. It has been found that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::200e1b980b3a4e78f67f26182bdaefde
https://doi.org/10.1016/j.jat.2021.105633
https://doi.org/10.1016/j.jat.2021.105633
Autor:
Allan K. Trinh, Peter J. Forrester
Publikováno v:
Nuclear Physics
Nuclear Physics B, Vol 938, Iss, Pp 621-639 (2019)
Nuclear Physics B, Vol 938, Iss, Pp 621-639 (2019)
The $\beta$ ensembles are a class of eigenvalue probability densities which generalise the invariant ensembles of classical random matrix theory. In the case of the Gaussian and Laguerre weights, the corresponding eigenvalue densities are known in te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8730dad85ee40fbcc3c33456aa7af7d
http://repo.scoap3.org/api
http://repo.scoap3.org/api
Autor:
Peter J. Forrester, Allan K. Trinh
Publikováno v:
Physical review. E. 99(3-2)
The recent paper "Finite size effects in the averaged eigenvalue density of Wigner random-sign real symmetric matrices" by G. S. Dhesi and M. Ausloos [Phys. Rev. E 93, 062115 (2016)10.1103/PhysRevE.93.062115] uses the replica method to compute the 1/
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad52a04cd405b70c63838e9e6adeeb77
https://pubmed.ncbi.nlm.nih.gov/30999531
https://pubmed.ncbi.nlm.nih.gov/30999531
Autor:
Peter J. Forrester, Allan K. Trinh
The neighbourhood of the largest eigenvalue $\lambda_{\rm max}$ in the Gaussian unitary ensemble (GUE) and Laguerre unitary ensemble (LUE) is referred to as the soft edge. It is known that there exists a particular centring and scaling such that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d037438abab37b111cf81f0ba247d040
