Aleksandr Logunov
#33,171
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Russian mathematician
Aleksandr Logunov 's AcademicInfluence.com Rankings
Aleksandr Logunov mathematics Degrees
Mathematics
#1462
World Rank
#2393
Historical Rank
Geometry
#73
World Rank
#123
Historical Rank
Algebraic Geometry
#120
World Rank
#127
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Measure Theory
#4316
World Rank
#5081
Historical Rank
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Mathematics
Aleksandr Logunov 's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics Moscow State University
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Why Is Aleksandr Logunov Influential?
(Suggest an Edit or Addition)According to Wikipedia, Aleksandr Andreyevich Logunov is a Russian mathematician, specializing in harmonic analysis, potential theory, and geometric analysis. Logunov received his Candidate of Sciences in 2015 from the Saint Petersburg State University under Viktor Petrovich Havin with thesis . He works at the Chebyshev Mathematics Laboratory of the Saint Petersburg State University and at the University of Tel Aviv.
Aleksandr Logunov 's Published Works
Published Works
- Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture (2016) (115)
- Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure (2016) (108)
- Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three (2016) (57)
- QUANTITATIVE PROPAGATION OF SMALLNESS FOR SOLUTIONS OF ELLIPTIC EQUATIONS (2017) (25)
- Weak integral conditions for BMO (2013) (18)
- Lecture notes on quantitative unique continuation for solutions of second order elliptic equations (2019) (17)
- On ratios of harmonic functions (2014) (16)
- Review of Yau's conjecture on zero sets of Laplace eigenfunctions (2019) (15)
- Translation-invariant probability measures on entire functions (2017) (13)
- Ratios of harmonic functions with the same zero set (2015) (12)
- The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions (2021) (11)
- Poisson brackets of partitions of unity on surfaces (2017) (10)
- Eigenfunctions with Infinitely Many Isolated Critical Points (2018) (10)
- A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant (2017) (5)
- A discrete harmonic function bounded on a large portion of Z2 is constant (2022) (4)
- Local version of Courant's nodal domain theorem (2020) (3)
- On the Boundary Behavior of Positive Solutions of Elliptic Differential Equations (2013) (2)
- On the higher-dimensional harmonic analog of the Levinson log log theorem (2014) (2)
- Collapsing Superstring Conjecture (2018) (2)
- An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem (2020) (1)
- Ratios of harmonic functions with the same zero set (2016) (0)
- A P ] 2 8 N ov 2 01 7 QUANTITATIVE PROPAGATION OF SMALLNESS FOR SOLUTIONS OF ELLIPTIC EQUATIONS (2018) (0)
- A P ] 2 6 M ay 2 01 9 Nodal sets of Laplace eigenfunctions : estimates of the Hausdorff measure in dimensions two and three (2019) (0)
- On a theorem of Cartwright in higher dimensions (2014) (0)
- Exact expansions of Hankel transforms and related integrals (2019) (0)
- Almost sharp lower bound for the nodal volume of harmonic functions (2023) (0)
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