Sharp transition of the invertibility of the adjacency matrices of sparse random graphs

Author:

Basak AnirbanORCID,Rudelson Mark

Funder

Directorate for Mathematical and Physical Sciences

Simons Foundation

Infosys Foundation

Science and Engineering Research Board

Department of Atomic Energy, Government of India

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference62 articles.

1. Addario-Berry, L., Eslava, L.: Hitting time theorems for random matrices. Comb. Probab. Comput. 23(5), 635–669 (2014)

2. Bai, Z.D., Silverstein, J.W.: Spectral Analysis of Large Dimensional Random Matrices. Springer Series in Statistics, 2nd edn. Springer, Dordrecht (2010)

3. Banderia, A.S., van Handel, R.: Shrap nonasymptotic bounds on the norm of random matrices with independent entries. Ann. Probab. 44(4), 2479–2506 (2016)

4. Basak, A., Cook, N., Zeitouni, O.: Circular law for the sum of random permutations. Elec. J. Probab. 33, 51 (2018)

5. Basak, A., Dembo, A.: Limiting spectral distribution of sum of unitary and orthogonal matrices. Elec. Commun. Probab. article 69 (2013)

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