Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure A Logunov
Annals of Mathematics 187 (1), 221-239, 2018
147 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
139 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
55 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
47 2018 The Landis conjecture on exponential decay A Logunov, E Malinnikova, N Nadirashvili, F Nazarov
arXiv preprint arXiv:2007.07034, 2020
34 2020 Review of Yau's conjecture on zero sets of Laplace eigenfunctions A Logunov, E Malinnikova
arXiv preprint arXiv:1908.01639, 2019
27 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
24 2015 Lecture notes on quantitative unique continuation for solutions of second order elliptic equations A Logunov, E Malinnikova
Harmonic Analysis and Applications. IAS/Park City Mathematics Series 27, 1-34, 2019
23 2019 On ratios of harmonic functions A Logunov, E Malinnikova
Advances in Mathematics 274, 241-262, 2015
22 2015 Ratios of harmonic functions with the same zero set A Logunov, E Malinnikova
Geometric and Functional Analysis 26, 909-925, 2016
19 2016 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
16 2021 Eigenfunctions with infinitely many isolated critical points L Buhovsky, A Logunov, M Sodin
International Mathematics Research Notices 2020 (24), 10100-10113, 2020
16 2020 Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimension two and three A Logunov, E Malinnikova
arXiv preprint arXiv:1605.02595, 2016
16 2016 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 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
9 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
9 2019 Poisson brackets of partitions of unity on surfaces L Buhovsky, A Logunov, S Tanny
Commentarii Mathematici Helvetici 95 (2), 247-278, 2020
8 2020 Local version of Courant's nodal domain theorem S Chanillo, A Logunov, E Malinnikova, D Mangoubi
arXiv preprint arXiv:2008.00677, 2020
4 2020 On the boundary behavior of positive solutions of elliptic differential equations A Logunov
St. Petersburg Mathematical Journal 27 (1), 87-102, 2016
3 2016 On the higher dimensional harmonic analog of the Levinson log log theorem A Logunov
Comptes Rendus Mathematique 352 (11), 889-893, 2014
3 2014