Aleksandr Logunov (ahli matematik)
Aleksandr Andreyevich Logunov ( Bahasa Rusia : Александр Андреевич Логунов, 5 Disember 1989) merupakan seorang ahli matematik Rusia, pakar dalam analisis harmonik, teori potensi dan analisis geometri .
Logunov menerima Ph.D pada tahun 2015 dari Universiti Negeri Saint Petersburg di bawah Viktor Petrovich Havin(О граничных свойствах гармонических функций, On boundary properties of harmonic functions). Beliau bekerja di Makmal Matematik Chebyshev di Universiti Negeri Saint Petersburg dan di Universiti Tel Aviv .
Logunov menerima, bersama-sama dengan Eugenia Malinnikova, Anugerah Penyelidikan Clay 2017 untuk pengenalan kaedah gabungan geometri baru untuk kajian masalah nilai eigen elips. [1] Pada tahun 2018 beliau menerima Hadiah Salem [2] dan pada tahun 2020 Hadiah EMS Persatuan Matematik Eropah . [3] Untuk tahun 2021 beliau menerima Hadiah Terobosan dalam Matematik - New Horizons dalam Matematik. [4]
Penerbitan terpilih sunting
- Logunov, Alexander (2018). "Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure". Annals of Mathematics. 187 (1): 221–239. arXiv:1605.02587. doi:10.4007/annals.2018.187.1.4.
- with Eugenia Malinnikova: Logunov, Alexander; Malinnikova, Eugenia (2015). "On ratios of harmonic functions". Advances in Mathematics. 274: 241–262. arXiv:1402.2888. doi:10.1016/j.aim.2015.01.009."On ratios of harmonic functions". Advances in Mathematics. 274: 241–262. arXiv:1402.2888. doi:10.1016/j.aim.2015.01.009.
- with Eugenia Malinnikova: Logunov, Alexander; Malinnikova, Eugenia (2016). "Ratios of harmonic functions with the same zero set". Geometric and Functional Analysis. 26 (3): 909–925. arXiv:1506.08041. doi:10.1007/s00039-016-0369-4."Ratios of harmonic functions with the same zero set". Geometric and Functional Analysis. 26 (3): 909–925. arXiv:1506.08041. doi:10.1007/s00039-016-0369-4.
- Logunov, Alexander (2018). "Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture". Annals of Mathematics. 187 (1): 241–262. arXiv:1605.02589. doi:10.4007/annals.2018.187.1.5.
- with Eugenia Malinnikova: Logunov, Alexander; Malinnikova, Eugenia (2018). "Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three". 50 Years with Hardy Spaces. Operator Theory: Advances and Applications. 261. m/s. 333–344. arXiv:1605.02595. doi:10.1007/978-3-319-59078-3_17."Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three". 50 Years with Hardy Spaces. Operator Theory: Advances and Applications. Vol. 261. pp. 333–344. arXiv:1605.02595. doi:10.1007/978-3-319-59078-3_17.