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For: Evangelou SN, Economou EN. Spectral density singularities, level statistics, and localization in a sparse random matrix ensemble. Phys Rev Lett 1992;68:361-364. [PMID: 10045872 DOI: 10.1103/physrevlett.68.361] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Number Cited by Other Article(s)
1
Aparicio L, Bordyuh M, Blumberg AJ, Rabadan R. A Random Matrix Theory Approach to Denoise Single-Cell Data. PATTERNS 2020;1:100035. [PMID: 33205104 PMCID: PMC7660363 DOI: 10.1016/j.patter.2020.100035] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/15/2020] [Revised: 03/05/2020] [Accepted: 04/02/2020] [Indexed: 02/06/2023]
2
Huang J, Landon B, Yau HT. Transition from Tracy–Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős–Rényi graphs. ANN PROBAB 2020. [DOI: 10.1214/19-aop1378] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
3
Martínez-Martínez CT, Méndez-Bermúdez JA. Information Entropy of Tight-Binding Random Networks with Losses and Gain: Scaling and Universality. ENTROPY 2019;21:e21010086. [PMID: 33266802 PMCID: PMC7514196 DOI: 10.3390/e21010086] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/12/2018] [Revised: 01/01/2019] [Accepted: 01/15/2019] [Indexed: 11/16/2022]
4
Pérez Castillo I, Metz FL. Theory for the conditioned spectral density of noninvariant random matrices. Phys Rev E 2018;98:020102. [PMID: 30253505 DOI: 10.1103/physreve.98.020102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2018] [Indexed: 06/08/2023]
5
Gera R, Alonso L, Crawford B, House J, Mendez-Bermudez JA, Knuth T, Miller R. Identifying network structure similarity using spectral graph theory. APPLIED NETWORK SCIENCE 2018;3:2. [PMID: 30839726 PMCID: PMC6214265 DOI: 10.1007/s41109-017-0042-3] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/27/2017] [Accepted: 06/18/2017] [Indexed: 06/02/2023]
6
Slanina F. Localization in random bipartite graphs: Numerical and empirical study. Phys Rev E 2017;95:052149. [PMID: 28618645 DOI: 10.1103/physreve.95.052149] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/11/2016] [Indexed: 06/07/2023]
7
Fernandes HA, da Silva R, Caparica AA, de Felício JRD. Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line. Phys Rev E 2017;95:042105. [PMID: 28505782 DOI: 10.1103/physreve.95.042105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2016] [Indexed: 06/07/2023]
8
Metz FL, Pérez Castillo I. Large Deviation Function for the Number of Eigenvalues of Sparse Random Graphs Inside an Interval. PHYSICAL REVIEW LETTERS 2016;117:104101. [PMID: 27636476 DOI: 10.1103/physrevlett.117.104101] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2016] [Indexed: 06/06/2023]
9
Méndez-Bermúdez JA, Alcazar-López A, Martínez-Mendoza AJ, Rodrigues FA, Peron TKD. Universality in the spectral and eigenfunction properties of random networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;91:032122. [PMID: 25871069 DOI: 10.1103/physreve.91.032122] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2014] [Indexed: 06/04/2023]
10
Martínez-Mendoza AJ, Alcazar-López A, Méndez-Bermúdez JA. Scattering and transport properties of tight-binding random networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;88:012126. [PMID: 23944433 DOI: 10.1103/physreve.88.012126] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/08/2013] [Indexed: 06/02/2023]
11
Clapa VI, Kottos T, Starr FW. Localization transition of instantaneous normal modes and liquid diffusion. J Chem Phys 2012;136:144504. [DOI: 10.1063/1.3701564] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
12
Slanina F. Equivalence of replica and cavity methods for computing spectra of sparse random matrices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011;83:011118. [PMID: 21405672 DOI: 10.1103/physreve.83.011118] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2010] [Revised: 12/01/2010] [Indexed: 05/30/2023]
13
Ding X, Jiang T. Spectral distributions of adjacency and Laplacian matrices of random graphs. ANN APPL PROBAB 2010. [DOI: 10.1214/10-aap677] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
14
Metz FL, Neri I, Bollé D. Localization transition in symmetric random matrices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010;82:031135. [PMID: 21230053 DOI: 10.1103/physreve.82.031135] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2010] [Indexed: 05/30/2023]
15
Sade M, Kalisky T, Havlin S, Berkovits R. Localization transition on complex networks via spectral statistics. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005;72:066123. [PMID: 16486026 DOI: 10.1103/physreve.72.066123] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/11/2005] [Indexed: 05/06/2023]
16
Semerjian G, Cugliandolo LF. Sparse random matrices: the eigenvalue spectrum revisited. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0305-4470/35/23/303] [Citation(s) in RCA: 80] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
17
Bauer M, Golinelli O. Exactly solvable model with two conductor-insulator transitions driven by impurities. PHYSICAL REVIEW LETTERS 2001;86:2621-2624. [PMID: 11289995 DOI: 10.1103/physrevlett.86.2621] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2000] [Revised: 10/26/2000] [Indexed: 05/23/2023]
18
Araujo M, Medina E, Aponte E. Spectral statistics and dynamics of Lévy matrices. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999;60:3580-8. [PMID: 11970191 DOI: 10.1103/physreve.60.3580] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/1998] [Revised: 05/25/1999] [Indexed: 04/18/2023]
19
Prosen T, Robnik M. Energy level statistics and localization in sparsed banded random matrix ensemble. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/26/5/029] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
20
Berkovits R, Avishai Y. Spectral statistics near the quantum percolation threshold. PHYSICAL REVIEW. B, CONDENSED MATTER 1996;53:R16125-R16128. [PMID: 9983513 DOI: 10.1103/physrevb.53.r16125] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
21
Zharekeshev IK, Kramer B. Scaling of level statistics at the disorder-induced metal-insulator transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1995;51:17239-17242. [PMID: 9978746 DOI: 10.1103/physrevb.51.17239] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
22
Kreynin M, Shapiro B. Density of levels in a generalized matrix ensemble. PHYSICAL REVIEW LETTERS 1995;74:4122-4124. [PMID: 10058421 DOI: 10.1103/physrevlett.74.4122] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
23
Cizeau P, Bouchaud JP. Theory of Lévy matrices. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994;50:1810-1822. [PMID: 9962183 DOI: 10.1103/physreve.50.1810] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
24
Soukoulis CM, Velgakis MJ, Economou EN. One-dimensional localization with correlated disorder. PHYSICAL REVIEW. B, CONDENSED MATTER 1994;50:5110-5118. [PMID: 9976849 DOI: 10.1103/physrevb.50.5110] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
25
Evangelou SN. Level-spacing function P(S) at the mobility edge. PHYSICAL REVIEW. B, CONDENSED MATTER 1994;49:16805-16808. [PMID: 10010850 DOI: 10.1103/physrevb.49.16805] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
26
Hofstetter E, Schreiber M. Relation between energy-level statistics and phase transition and its application to the Anderson model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994;49:14726-14729. [PMID: 10010563 DOI: 10.1103/physrevb.49.14726] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
27
Evangelou SN. Level Statistics and Time Evolution at the Mobility Edge. ACTA ACUST UNITED AC 1994. [DOI: 10.1143/ptps.116.319] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
28
Burleigh DC, Sibert EL. A random matrix approach to rotation–vibration mixing in H2CO and D2CO. J Chem Phys 1993. [DOI: 10.1063/1.464500] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
29
Shklovskii BI, Shapiro B, Sears BR, Lambrianides P, Shore HB. Statistics of spectra of disordered systems near the metal-insulator transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1993;47:11487-11490. [PMID: 10005290 DOI: 10.1103/physrevb.47.11487] [Citation(s) in RCA: 154] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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