Johannes Alt

Publications in peer-reviewed journals

My papers are on arXiv.

1. Brown measures of deformed L∞-valued circular elements,
   preprint (2024), 49 pp., arXiv:2409.15405,
   with T. Krüger.
2. Spectrum occupies pseudospectrum for random matrices with diagonal deformation and variance profile,
   preprint (2024), 41 pp., arXiv:2404.17573, 
   with Torben Krüger.
3. Localized phase for the Erdős–Rényi graph,
   Comm. Math. Phys. 405, 9 (2024), 74 pp., extended arXiv version: arXiv:2305.16294,
   with Raphaël Ducatez and Antti Knowles.
4. The completely delocalized region of the Erdős–Rényi graph,
   Electron. Commun. Probab. 27 (2022), paper no. 10, 9 pp., arXiv:2109.03227,
   with Raphaël Ducatez and Antti Knowles.
5. Poisson statistics and localization at the spectral edge of sparse Erdős–Rényi graphs,
   Ann. Probab. 51 (2023), no. 1, 277-358, arXiv:2106.12519,
   with Raphaël Ducatez and Antti Knowles.
6. Local elliptic law,
   Bernoulli 28 (2022), no.2, 866-909, arXiv:2102.03335,
   with Torben Krüger.
7. Delocalization transition for critical Erdős-Rényi graphs,
   Comm. Math. Phys. 388 (2021), no.1, 507-579, arXiv:2005.14180,
   with Raphaël Ducatez and Antti Knowles.
8. Inhomogeneous Circular Law for Correlated Matrices,
   J. Funct. Anal. 281 (2021), no. 7, 109120, arXiv:2005.13533,
   with Torben Krüger.
9. Spectral radius of random matrices with independent entries,
   Probab. Math. Phys. 2 (2021), no. 2, 221-280, arXiv:1907.13631,
   with László Erdős and Torben Krüger.
10. Extremal eigenvalues of critical Erdős-Rényi graphs,
    Ann. Probab. 49 (2021), no. 3, 1347-1401, arXiv:1905.03243,
    with Raphaël Ducatez and Antti Knowles.
11. The Dyson equation with linear self-energy: spectral bands, edges and cusps,
    Doc. Math. 25 (2020), 1421-1539, arXiv:1804.07752,
    with László Erdős and Torben Krüger.
12. Correlated random matrices: Band rigidity and Edge universality,
    Ann. Probab. 48 (2020), no. 2, 963-1001, arXiv:1804.07744,
    with László Erdős, Torben Krüger and Dominik Schröder.
13. Singularities of the density of states of random Gram matrices,
    Electron. Commun. Probab. 22 (2017), paper no. 63, 13 pp., arXiv:1708.08442.
14. Location of the spectrum of Kronecker random matrices,
    Ann. Inst. H. Poincaré Probab. Statist. 55 (2019), no. 2, 661-696, arXiv:1706.08343,
    with László Erdős, Torben Krüger and Yuriy Nemish.
15. Local inhomogeneous circular law,
    Ann. Appl. Probab. 28 (2018), no. 1, 148-203, arXiv:1612.07776,
    with László Erdős and Torben Krüger.
16. Local law for random Gram matrices,
    Electron. J. Probab. 22 (2017), paper no. 25, 41 pp., arXiv:1606.07353,
    with László Erdős and Torben Krüger.
17. The local semicircle law for random matrices with a fourfold symmetry,
    J. Math. Phys. 56 (2015), no. 10, arXiv:1506.04683.

Proceedings

1. Spectral radius of random matrices with independent entries,
   Oberwolfach Rep. 16 (2019), no.4, p. 3471.