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Patrick Lopatto
Patrick Lopatto
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Title
Cited by
Cited by
Year
Statistical thresholds for tensor PCA
A Jagannath, P Lopatto, L Miolane
Annals of Applied Probability 30 (4), 1910-1933, 2020
422020
GOE statistics for Lévy matrices
A Aggarwal, P Lopatto, HT Yau
Journal of the European Mathematical Society 23 (11), 2021
352021
Eigenvector statistics of Lévy matrices
A Aggarwal, P Lopatto, J Marcinek
Annals of Probability 49 (4), 1778-1846, 2021
222021
Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
L Benigni, P Lopatto
Communications in Mathematical Physics 391 (2), 401-454, 2022
202022
Universality of the least singular value for sparse random matrices
Z Che, P Lopatto
Electronic Journal of Probability 24 (9), 1-53, 2019
202019
Optimal delocalization for generalized Wigner matrices
L Benigni, P Lopatto
Advances in Mathematics 396, 108109, 2022
192022
An Improved Lower Bound for Sparse Reconstruction from Subsampled Walsh Matrices
J Blasiok, P Lopatto, K Luh, J Marcinek, S Rao
Discrete Analysis 3, 2023
17*2023
Comparison theorem for some extremal eigenvalue statistics
B Landon, P Lopatto, J Marcinek
Annals of Probability 48 (6), 2894-2919, 2020
122020
Tail bounds for gaps between eigenvalues of sparse random matrices
P Lopatto, K Luh
Electronic Journal of Probability 26, 1-26, 2021
112021
Schatten-class truncated Toeplitz operators
P Lopatto, R Rochberg
Proceedings of the American Mathematical Society 144 (2), 637-649, 2016
112016
Single eigenvalue fluctuations of general Wigner-type matrices
B Landon, P Lopatto, P Sosoe
Probability Theory and Related Fields 188 (1), 1-62, 2024
102024
Simplicial Abel-Jacobi maps and reciprocity laws
JIB Gil, M Kerr, JD Lewis, P Lopatto
Journal of Algebraic Geometry 27 (1), 2018
102018
Mobility Edge of Lévy Matrices
A Aggarwal, C Bordenave, P Lopatto
arXiv preprint arXiv:2210.09458, 2022
82022
Central limit theorem for the complex eigenvalues of Gaussian random matrices
A Goel, P Lopatto, X Xie
arXiv preprint arXiv:2306.10243, 2023
42023
Universality of the least singular value for the sum of random matrices
Z Che, P Lopatto
Electronic Journal of Probability 26, 1-38, 2021
42021
Fluctuations in Quantum Unique Ergodicity at the Spectral Edge
L Benigni, N Chen, P Lopatto, X Xie
arXiv preprint arXiv:2303.11142, 2023
32023
Formulas for Odd Zeta Values and Powers of π
M Chamberland, P Lopatto
Journal of Integer Sequences 14 (2), 3, 2011
32011
Existence of the free energy for heavy-tailed spin glasses
A Jagannath, P Lopatto
arXiv preprint arXiv:2211.09879, 2022
12022
Smallest gaps between eigenvalues of real Gaussian matrices
P Lopatto, M Meeker
arXiv preprint arXiv:2403.09521, 2024
2024
Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices
P Bourgade, P Lopatto, O Zeitouni
arXiv preprint arXiv:2312.13335, 2023
2023
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