| Full text | |
| Author(s): |
Mendez-Bermudez, J. A.
[1]
;
Ferraz de Arruda, Guilherme
[2, 3]
;
Rodrigues, Francisco A.
[3]
;
Moreno, Yamir
[4, 2, 5]
Total Authors: 4
|
| Affiliation: | [1] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
[2] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, E-50009 Zaragoza - Spain
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estatist, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[4] Inst Sci Interchange, Complex Networks & Syst Lagrange Lab, Turin - Italy
[5] Univ Zaragoza, Dept Theoret Phys, E-50009 Zaragoza - Spain
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 50, n. 49 DEC 8 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
We demonstrate that the normalized localization length beta of the eigenfunctions of diluted (sparse) banded random matrices follows the scaling law beta = x{*} /(1 + x{*}). The scaling parameter of the model is defined as x{*} proportional to (b(eff)(2)/N)(delta), where b(eff) is the average number of non-zero elements per matrix row, N is the matrix size, and delta similar to 1. Additionally, we show that x{*} also scales the spectral properties of the model (up to certain sparsity) characterized by the spacing distribution of eigenvalues. (AU) | |
| FAPESP's process: | 13/26416-9 - Modelling of dynamical processes in complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/07463-1 - Spreading processes on multilayer networks |
| Grantee: | Guilherme Ferraz de Arruda |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 11/50761-2 - Models and methods of e-Science for life and agricultural sciences |
| Grantee: | Roberto Marcondes Cesar Junior |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/25219-2 - Modeling, analysis and simulation of dynamic process on complex networks |
| Grantee: | Guilherme Ferraz de Arruda |
| Support Opportunities: | Scholarships in Brazil - Doctorate |