Patrick Lopatto

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Research Articles

Existence of the Free Energy for Heavy-Tailed Spin Glasses (with A. Jagannath). (arXiv)

Maximum of the Characteristic Polynomial of Wigner Matrices (with P. Bourgade and O. Zeitouni). (in preparation)

Quenched Large Deviation Principles for Projections of Lpn Balls (with K. Ramanan and X. Xie). (preprint, available upon request)

Fast Permutation Inference for Randomized Experiments With Binary Outcomes (with P. M. Aronow and H. Chang). (preprint)

Mobility Edge of Lévy Matrices (with A. Aggarwal and C. Bordenave). (arXiv)

Single Eigenvalue Fluctuations of General Wigner-Type Matrices (with B. Landon and P. Sosoe), to appear in Probability Theory and Related Fields. (arXiv)

Fluctuations in Local Quantum Unique Ergodicity for Generalized Wigner Matrices (with L. Benigni), Communications in Mathematical Physics 391 (2), 2022. (arXiv)

Optimal Delocalization for Generalized Wigner Matrices (with L. Benigni), Advances in Mathematics 396, 2022. (arXiv)

Eigenvector Statistics of Lévy Matrices (with A. Aggarwal and J. Marcinek), Annals of Probability 49 (4), 2021. (arXiv)

Universality of the Least Singular Value for the Sum of Random Matrices (with Z. Che), Electronic Journal of Probability 26, 2021. (arXiv)

An Improved Lower Bound for Sparse Reconstruction from Subsampled Hadamard Matrices (with J. Błasiok, K. Luh, J. Marcinek, and S. Rao), FOCS 2019. (arXiv)

Tail Bounds for Gaps Between Eigenvalues of Sparse Random Matrices (with K. Luh), Electronic Journal of Probability 26, 2021. (arXiv)

Comparison Theorem for Some Extremal Eigenvalue Statistics (with B. Landon and J. Marcinek), Annals of Probability 48 (6), 2020. (arXiv)

Statistical Thresholds for Tensor PCA (with A. Jagannath and L. Miolane), Annals of Applied Probability 30 (4), 2020. (arXiv)

GOE Statistics for Lévy Matrices (with A. Aggarwal and H.-T. Yau), Journal of the European Mathematical Society, 23 (11), 2021. (arXiv)

Universality of the Least Singular Value for Sparse Random Matrices (with Z. Che), Electronic Journal of Probability 24, 2019. (arXiv)

Simplicial Abel–Jacobi Maps and Reciprocity Laws (with M. Kerr and J. Lewis, and an appendix by J. I. Burgos-Gil), Journal of Algebraic Geometry 27 (1), 2018. (arXiv)

Schatten-Class Truncated Toeplitz Operators (with R. Rochberg), Proceedings of the American Mathematical Society 144 (2), 2016. (arXiv)

Formulas for Odd Zeta Values and Powers of π (with M. Chamberland), Journal of Integer Sequences 14 (2), 2011. (journal)