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Correlations between eigenvalues of large random matrices with independent entries.
| Content Provider | Semantic Scholar |
|---|---|
| Author | D'Anna |
| Copyright Year | 1996 |
| Abstract | We derive the connected correlation functions for eigenvalues of large Her-mitian random matrices with independently distributed elements using both a diagrammatic and a renormalization group (RG) inspired approach. With the diagrammatic method we obtain a general form for the one, two and three-point connected Green function for this class of ensembles when matrix elements are identically distributed, and then discuss the derivation of higher order functions by the same approach. Using the RG approach we re-derive the one and two-point Green functions and show they are unchanged by choosing certain ensembles with non-identically distributed elements. Throughout, we compare the Green functions we obtain to those from the class of ensembles with unitary invariant distributions and discuss universality in both ensemble classes. |
| Starting Page | 1399 |
| Ending Page | 1410 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/cond-mat/9508135v2.pdf |
| PubMed reference number | 9964399v1 |
| Volume Number | 53 |
| Issue Number | 2 |
| Journal | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Choose (action) Class Graph - visual representation Inspiration function Normal Statistical Distribution Smoothing (statistical technique) |
| Content Type | Text |
| Resource Type | Article |
