Multiplicative Statistics for Orthogonal and Symplectic Ensembles
Records, range, and longest increasing subsequences of random walks
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Fis Sao Carlos, Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Inst Fis, Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | PHYSICA SCRIPTA; v. 94, n. 11 NOV 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We investigate the statistical properties of eigenvalues of pseudo-Hermitian random matrices whose eigenvalues are real or complex conjugate. It is shown that when the spectrum splits into separated sets of real and complex conjugate eigenvalues, the real ones show characteristics of an intermediate incomplete spectrum, that is, of a so-called thinned ensemble. On the other hand, the complex ones show repulsion compatible with cubic-order repulsion of non-normal matrices for the real matrices, but higher order repulsion for the complex and quaternion matrices. (AU) | |
| FAPESP's process: | 19/00184-0 - Pseudo-Hermitian Hamiltonians and the Fermi-Pasta-Ulam Problem |
| Grantee: | Gabriel Marinello de Souza Santos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |