| Abstract |
The spectrum of a local random Hamiltonian can be represented generically by the so-called $\epsilon$-free convolution of its local terms' probability distributions. We establish an isomorphism between the set of $\epsilon$-noncrossing partitions and permutations to study its spectrum. Moreover, we derive some lower and upper bounds for the largest eigenvalue of the Hamiltonian. |
| Authors |
Benoı̂t Collins  , Zhi Yin , Liang Zhao , Ping Zhong 
|
| Journal Info |
Institute of Physics | Journal of Physics A: Mathematical and Theoretical , vol: 56
, iss: 3
, pages: 035201 - 035201
|
| Publication Date |
1/20/2023 |
| ISSN |
1751-8113 |
Type |
article |
| Open Access |
green
|
| DOI |
https://doi.org/10.1088/1751-8121/acb4c8 |
| Keywords |
Eigenvalue Estimates (Score: 0.490778)
|
