Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Level-spacing distribution of a fractal matrix   We diagonalize numerically a Fibonacci matrix with fractal Hilbert space
structure of dimension $d_{f}=1.8316...$ We show that the density of states is
logarithmically normal while the corresponding level-statistics can be
described as critical since the nearest-neighbor distribution function
approaches the intermediate semi-Poisson curve. We find that the eigenvector
amplitudes of this matrix are also critical lying between extended and
localized.

13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat