| Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure A Logunov Annals of Mathematics 187 (1), 221-239, 2018 | 173 | 2018 |
| Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture A Logunov Annals of Mathematics 187 (1), 241-262, 2018 | 164 | 2018 |
| Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three A Logunov, E Malinnikova 50 Years with Hardy Spaces: A Tribute to Victor Havin, 333-344, 2018 | 77 | 2018 |
| Quantitative propagation of smallness for solutions of elliptic equations A Logunov, E Malinnikova Proceedings of the International Congress of Mathematicians (ICM 2018) (In 4 …, 2018 | 68 | 2018 |
| The Landis conjecture on exponential decay A Logunov, E Malinnikova, N Nadirashvili, F Nazarov Inventiones mathematicae, 1-44, 2025 | 56 | 2025 |
| Lecture notes on quantitative unique continuation for solutions of second order elliptic equations A Logunov, E Malinnikova arXiv preprint arXiv:1903.10619, 2019 | 34 | 2019 |
| Review of Yau's conjecture on zero sets of Laplace eigenfunctions A Logunov, E Malinnikova arXiv preprint arXiv:1908.01639, 2019 | 33 | 2019 |
| Weak integral conditions for BMO A Logunov, L Slavin, D Stolyarov, V Vasyunin, P Zatitskiy Proceedings of the American Mathematical Society 143 (7), 2913-2926, 2015 | 31 | 2015 |
| The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions A Logunov, E Malinnikova, N Nadirashvili, F Nazarov Geometric and Functional Analysis 31 (5), 1219-1244, 2021 | 29 | 2021 |
| On ratios of harmonic functions A Logunov, E Malinnikova Advances in Mathematics 274, 241-262, 2015 | 27 | 2015 |
| Ratios of harmonic functions with the same zero set A Logunov, E Malinnikova Geometric and Functional Analysis 26 (3), 909-925, 2016 | 25 | 2016 |
| Eigenfunctions with infinitely many isolated critical points L Buhovsky, A Logunov, M Sodin International Mathematics Research Notices 2020 (24), 10100-10113, 2020 | 20 | 2020 |
| A discrete harmonic function bounded on a large portion of is constant L Buhovsky, A Logunov, E Malinnikova, M Sodin Duke mathematical journal 171 (6), 1349-1378, 2022 | 17 | 2022 |
| Translation-invariant probability measures on entire functions L Buhovsky, A Glücksam, A Logunov, M Sodin Journal d'Analyse Mathematique 139 (1), 307-339, 2019 | 12 | 2019 |
| A discrete harmonic function bounded on a large portion of is constant L Buhovsky, A Logunov, E Malinnikova, M Sodin arXiv preprint arXiv:1712.07902, 2017 | 11 | 2017 |
| Local version of Courant’s nodal domain theorem S Chanillo, A Logunov, E Malinnikova, D Mangoubi Journal of differential geometry 126 (1), 49-63, 2024 | 9 | 2024 |
| Poisson brackets of partitions of unity on surfaces L Buhovsky, A Logunov, S Tanny Commentarii Mathematici Helvetici 95 (2), 247-278, 2020 | 8 | 2020 |
| Almost sharp lower bound for the nodal volume of harmonic functions A Logunov, L Priya ME, A Sartori Communications on Pure and Applied Mathematics 77 (12), 4328-4389, 2024 | 5 | 2024 |
| On the higher dimensional harmonic analog of the Levinson log log theorem A Logunov Comptes Rendus Mathematique 352 (11), 889-893, 2014 | 4 | 2014 |
| An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem A Logunov, H Papazov Journal of Mathematical Physics 62 (6), 2021 | 3 | 2021 |
