J. Alt

activity

20152026

most citedSpectral radius of random matrices with independent entries

36 citations · 115 across the 12 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.PR2020

Delocalization transition for critical Erdős-Rényi graphs

Johannes Alt, Raphael Ducatez, Antti Knowles

We analyse the eigenvectors of the adjacency matrix of a critical Erdős-Rényi graph $G (N, d / N)$ , where $d$ is of order $lo g N$ . We show that its spectrum splits into two ph…

math.PR2020

Inhomogeneous Circular Law for Correlated Matrices

Johannes Alt, Torben Krüger

We consider non-Hermitian random matrices $X \in C^{n \times n}$ with general decaying correlations between their entries. For large $n$ , the empirical spectral distributi…