PL
Patrick Lopatto
University of North Carolina at Chapel Hill0000-0002-9811-8052
math.PRmath.MPmath-phmath.STstat.THstat.MEmath.FAcs.DMcs.DScs.IT
On Valency
published · living versionsW_ez58mdtt·v1 · currentpublished
The Negative Spherical Perceptron: Capacity, Isostatic Jamming, and Full Replica Symmetry Breaking
with P. M. Aronow
1 version
Preprints & journals
41 papers in the corpus · 2014–2026Parisi measure of the Sherrington-Kirkpatrick model with external field2610.00127v1 · Patrick Lopatto2026 · 0 citationsarXiv
Replica symmetry up to the de Almeida-Thouless line in the Sherrington-Kirkpatrick model2604.11921v2 · Patrick Lopatto2026 · 0 citationsarXiv
Maximum cut and maximum bisection in random regular graphs2609.19057v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Quantitative eigenvector universality for generalized Wigner matrices2606.06419v2 · Lucas Benigni, Patrick Lopatto2026 · 0 citationsarXiv
Overlap structure of mixed even $p$-spin models2609.17442v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
One-step TMLE for weighted average treatment effects2604.00198v2 · Yang Liu, Patrick Lopatto, Ivana Malenica2026 · 0 citationsarXiv
Nearly-minimax variance estimation under rough random design2607.13170v3 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
A positive resolution of the gap-entropy conjecture2609.10529v1 · P. M. Aronow, Nathan Kallus, Patrick Lopatto2026 · 0 citationsarXiv
Optimal central limit theorem for bounded random variables in high dimensions2609.07067v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Quantitative Parisi formulas and fluctuations in the Sherrington-Kirkpatrick model2609.09103v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Replica symmetry breaking at arbitrary depth2609.05317v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Adaptive Confidence Sets for Binary Regression without Design Smoothness2608.01309v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Full replica symmetry breaking in the Sherrington-Kirkpatrick model2607.11756v3 · Patrick Lopatto2026 · 0 citationsarXiv
Sobolev convergence of log-determinants for smooth Wigner matrices2605.27222v2 · Giorgio Cipolloni, Patrick Lopatto2026 · 0 citationsarXiv
Minimax unbiased estimation for finite populations with bounded outcomes2605.20572v1 · P. M. Aronow, Patrick Lopatto2026 · 0 citationsarXiv
Mobility Edge for the Anderson Model on Random Regular Graphs2603.14230v2 · Suhan Liu, Patrick Lopatto2026 · 0 citationsarXiv
Fluctuations in Quantum Unique Ergodicity at the Spectral Edge2303.11142v2 · Lucas Benigni, Nixia Chen, Patrick Lopatto et al.2023 · 1 citationarXiv
Maximum gap in complex Ginibre matrices2501.04611v2 · Patrick Lopatto, Moritz Otto2025 · 0 citationsarXiv
Fast computation of exact confidence intervals for randomized experiments with binary outcomes2305.09906v2 · P. M. Aronow, Haoge Chang, Patrick Lopatto2023 · 0 citationsarXiv
Mobility Edge for the Anderson Model on the Bethe Lattice2503.08949v1 · Amol Aggarwal, Patrick Lopatto2025 · 0 citationsarXiv
Randomization-based confidence sets for the local average treatment effect2404.18786v3 · P. M. Aronow, Haoge Chang, Patrick Lopatto2024 · 1 citationarXiv
Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices2312.13335v2 · Paul Bourgade, Patrick Lopatto, Ofer Zeitouni2023 · 2 citationsarXiv
Formulas for odd zeta values and powers of $\pi$2406.00567v2 · Marc Chamberland, Patrick Lopatto2024 · 0 citationsarXiv
Smallest gaps between eigenvalues of real Gaussian matrices2403.09521v2 · Patrick Lopatto, Matthew Meeker2024 · 0 citationsarXiv
Central limit theorem for the complex eigenvalues of Gaussian random matrices2306.10243v2 · Advay Goel, Patrick Lopatto, Xiaoyu Xie2023 · 5 citationsarXiv
Quenched large deviation principles for random projections of $\ell_p^n$ balls2308.00649v1 · Patrick Lopatto, Kavita Ramanan, Xiaoyu Xie2023 · 0 citationsarXiv
Statistical thresholds for Tensor PCA1812.03403v2 · Aukosh Jagannath, Patrick Lopatto, Leo Miolane2018 · 32 citationsAnn. Appl. Probab. (2020), Vol. 30, No. 4, 1910-1933
Mobility Edge for L\'evy Matrices2210.09458v2 · Amol Aggarwal, Charles Bordenave, Patrick Lopatto2022 · 0 citationsarXiv
Fluctuations in local quantum unique ergodicity for generalized Wigner matrices2103.12013v3 · Lucas Benigni, Patrick Lopatto2021 · 22 citationsarXiv
An Improved Lower Bound for Sparse Reconstruction from Subsampled Walsh Matrices1903.12135v3 · Jaros\law B\lasiok, Patrick Lopatto, Kyle Luh et al.2019 · 2 citationsarXiv
Single eigenvalue fluctuations of general Wigner-type matrices2105.01178v4 · Benjamin Landon, Patrick Lopatto, Philippe Sosoe2021 · 10 citationsarXiv
Existence of the free energy for heavy-tailed spin glasses2211.09879v2 · Aukosh Jagannath, Patrick Lopatto2022 · 2 citationsarXiv
Optimal Delocalization for Generalized Wigner Matrices2007.09585v2 · Lucas Benigni, Patrick Lopatto2020 · 21 citationsarXiv
Tail bounds for gaps between eigenvalues of sparse random matrices1901.05948v3 · Patrick Lopatto, Kyle Luh2019 · 11 citationsarXiv
Eigenvector Statistics of L\'{e}vy Matrices2002.09355v3 · Amol Aggarwal, Patrick Lopatto, Jake Marcinek2020 · 19 citationsarXiv
Universality of the least singular value for the sum of random matrices1908.04060v2 · Ziliang Che, Patrick Lopatto2019 · 5 citationsarXiv
Comparison theorem for some extremal eigenvalue statistics1812.10022v3 · Benjamin Landon, Patrick Lopatto, Jake Marcinek2018 · 11 citationsarXiv
GOE Statistics for Levy Matrices1806.07363v3 · Amol Aggarwal, Patrick Lopatto, Horng-Tzer Yau2018 · 32 citationsarXiv
Universality of the least singular value for sparse random matrices1711.00580v2 · Ziliang Che, Patrick Lopatto2017 · 22 citationsarXiv
Simplicial Abel-Jacobi maps and reciprocity laws1502.05459v2 · Jose Ignacio Burgos Gil, Matt Kerr, James D. Lewis et al.2015 · 6 citationsarXiv
Schatten-class Truncated Toeplitz Operators1410.1906v1 · Patrick Lopatto, Richard Rochberg2014 · 11 citationsarXiv
Career total: 69 works. 41 are in this corpus.
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