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ResearcherID: F-7954-2015
Scopus Author ID: 56402849400

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Education and qualifications (1)

St.Petersburg State University: St.Petersburg, RU

2012-10-01 to 2015-09-31 | Ph.D. student
Education
Source: Self-asserted source
Alexander Logunov

Works (29)

A DISCRETE HARMONIC FUNCTION BOUNDED ON A LARGE PORTION OF Z<sup>2</sup> IS CONSTANT

Duke Mathematical Journal
2022 | Journal article
DOI: 10.1215/00127094-2021-0037
EID:

2-s2.0-85130260882

Part of ISSN: 00127094
Contributors: Buhovsky, L.; Logunov, A.; Malinnikova, E.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

The sharp upper bound for the area of the nodal sets of dirichlet laplace eigenfunctions

arXiv
2021 | Other
EID:

2-s2.0-85106192248

Part of ISSN: 23318422
Contributors: Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions

Geometric and Functional Analysis
2021 | Journal article
DOI: 10.1007/s00039-021-00581-5
EID:

2-s2.0-85117405417

Part of ISSN: 14208970 1016443X
Contributors: Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem

Journal of Mathematical Physics
2021-06-01 | Journal article
DOI: 10.1063/5.0044798
Contributors: A. Logunov; H. Papazov
Source: check_circle
Crossref
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An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson's log log theorem

arXiv
2020 | Other
EID:

2-s2.0-85112501470

Part of ISSN: 23318422
Contributors: Logunov, A.; Papazov, H.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Eigenfunctions with Infinitely Many Isolated Critical Points

International Mathematics Research Notices
2020 | Journal article
DOI: 10.1093/imrn/rnz181
EID:

2-s2.0-85099179281

Part of ISSN: 16870247 10737928
Contributors: Buhovsky, L.; Logunov, A.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Local version of courant's nodal domain theorem

arXiv
2020 | Other
EID:

2-s2.0-85095481775

Part of ISSN: 23318422
Contributors: Chanillo, S.; Logunov, A.; Malinnikova, E.; Mangoubi, D.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Poisson brackets of partitions of unity on surfaces

Commentarii Mathematici Helvetici
2020 | Journal article
DOI: 10.4171/CMH/481
EID:

2-s2.0-85089398062

Part of ISSN: 14208946 00102571
Contributors: Buhovsky, L.; Logunov, A.; Tanny, S.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

The landis conjecture on exponential decay

arXiv
2020 | Other
EID:

2-s2.0-85095486751

Part of ISSN: 23318422
Contributors: Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Lecture notes on quantitative unique continuation for solutions of second order elliptic equations

arXiv
2019 | Other
EID:

2-s2.0-85095252687

Part of ISSN: 23318422
Contributors: LOGUNOV, A.; MALINNIKOVA, E.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

REVIEW OF YAU’S CONJECTURE ON ZERO SETS OF LAPLACE EIGENFUNCTIONS

arXiv
2019 | Other
EID:

2-s2.0-85093303584

Part of ISSN: 23318422
Contributors: Logunov, A.; Malinnikova, E.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Translation-invariant probability measures on entire functions

Journal d'Analyse Mathematique
2019 | Journal article
DOI: 10.1007/s11854-019-0067-x
EID:

2-s2.0-85074782097

Part of ISSN: 15658538 00217670
Contributors: Buhovsky, L.; Glücksam, A.; Logunov, A.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

QUANTITATIVE PROPAGATION OF SMALLNESS FOR SOLUTIONS OF ELLIPTIC EQUATIONS

Proceedings of the International Congress of Mathematicians (ICM 2018)
2019-05 | Book chapter
DOI: 10.1142/9789813272880_0143
Contributors: Alexander Logunov
Source: Self-asserted source
Alexander Logunov

Eigenfunctions with infinitely many isolated critical points

arXiv
2018 | Other
EID:

2-s2.0-85094528865

Part of ISSN: 23318422
Contributors: Buhovsky, L.; Logunov, A.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Nodal sets of laplace eigenfunctions: Estimates of the hausdorff measure in dimensions two and three

Operator Theory: Advances and Applications
2018 | Book
DOI: 10.1007/978-3-319-59078-3_17
EID:

2-s2.0-85044743326
Contributors: Logunov, A.; Malinnikova, E.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Nodal sets of Laplace eigenfunctions: Polynomial upper estimates of the Hausdorff measure

Annals of Mathematics
2018 | Journal article
DOI: 10.4007/annals.2018.187.1.4
EID:

2-s2.0-85039951114
Contributors: Logunov, A.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Nodal sets of Laplace eigenfunctions: Proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture

Annals of Mathematics
2018 | Journal article
DOI: 10.4007/annals.2018.187.1.5
EID:

2-s2.0-85039934016
Contributors: Logunov, A.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Quantitative propagation of smallness for solutions of elliptic equations

Proceedings of the International Congress of Mathematicians, ICM 2018
2018 | Conference paper
EID:

2-s2.0-85086310037
Contributors: Logunov, A.; Laboratory, C.; Malinnikova, E.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Review of Yau’s conjecture on zero sets of Laplace eigenfunctions

Current Developments in Mathematics
2018 | Journal article
DOI: 10.4310/cdm.2018.v2018.n1.a4
Part of ISSN: 1089-6384
Part of ISSN: 2164-4829
Contributors: Alexander Logunov
Source: Self-asserted source
Alexander Logunov

A discrete harmonic function bounded on a large portion of Z<sup>2</sup> is constant

arXiv
2017 | Other
EID:

2-s2.0-85092865472

Part of ISSN: 23318422
Contributors: Buhovsky, L.; Logunov, A.; Malinnikova, E.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Poisson Brackets of Partitions of Unity on Surfaces

arXiv
2017 | Other
EID:

2-s2.0-85094401111

Part of ISSN: 23318422
Contributors: Buhovsky, L.; Logunov, A.; Tanny, S.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Quantitative propagation of smallness for solutions of elliptic equations.

arXiv
2017 | Other
EID:

2-s2.0-85092828521

Part of ISSN: 23318422
Contributors: Logunov, A.; Malinnikova, E.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Translation-invariant probability measures on entire functions

arXiv
2017 | Other
EID:

2-s2.0-85092851726

Part of ISSN: 23318422
Contributors: Buhovsky, L.; Glücksam, A.; Logunov, A.; Sodin, M.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

On the boundary behavior of positive solutions of elliptic differential equations

St. Petersburg Mathematical Journal
2016 | Journal article
DOI: 10.1090/spmj/1377
EID:

2-s2.0-84953790711
Contributors: Logunov, A.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

Ratios of harmonic functions with the same zero set

Geometric and Functional Analysis
2016-06-16 | Journal article
DOI: 10.1007/s00039-016-0369-4
Source: Self-asserted source
Alexander Logunov
grade
Preferred source (of 2)‎

On ratios of harmonic functions

Advances in Mathematics
2015 | Journal article
DOI: 10.1016/j.aim.2015.01.009
WOSUID:

WOS:000352044300008
Contributors: Logunov, Alexander; Malinnikova, Eugenia
Source: Self-asserted source
Alexander Logunov via ResearcherID
grade
Preferred source (of 2)‎

Weak integral conditions for BMO

Proceedings of the American Mathematical Society
2015 | Journal article
EID:

2-s2.0-84927740254
Contributors: Logunov, A.A.; Slavin, L.; Stolyarov, D.M.; Vasyunin, V.; Zatitskiy, P.B.
Source: Self-asserted source
Alexander Logunov via Scopus - Elsevier

On a theorem of Cartwright in higher dimensions

Journal of the London Mathematical Society
2015-12-16 | Journal article
DOI: 10.1112/jlms/jdv060
Source: Self-asserted source
Alexander Logunov
grade
Preferred source (of 2)‎

On the higher dimensional harmonic analog of the Levinson log log theorem

Comptes Rendus Mathematique
2014 | Journal article
DOI: 10.1016/j.crma.2014.09.019
WOSUID:

WOS:000344130600006
Contributors: Logunov, Alexander
Source: Self-asserted source
Alexander Logunov via ResearcherID
grade
Preferred source (of 2)‎
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