Abstract
Abstract
The spectrum of a local random Hamiltonian can be represented generically by the so-called ϵ-free convolution of the probability distributions of its local terms. We establish an isomorphism between the set of ϵ-noncrossing partitions and permutations to study its spectrum. Moreover, we derive some lower and upper bounds for the maximal eigenvalue of the Hamiltonian.
Funder
Collaboration Grants for Mathematicians from Simons Foundation
China Scholarship Council
National Natural Science Foundation of China
Japan Society for the Promotion of Science
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
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