Zero sets of random functions

Approximately half of the roots of a random Littlewood polynomial are inside the disk

Author(s): Yakir, Oren
Published in: Studia Mathematica, Issue 261, 2021, Page(s) 227-240, ISSN 0039-3223
Publisher: Polska Akademia Nauk
DOI: 10.4064/sm201117-28-1

Fluctuations for zeros of Gaussian Taylor series

Author(s): Avner Kiro; Avner Kiro; Alon Nishry
Published in: Journal London Math. Soc., Issue 104, 2021, Page(s) 1172-1203, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12457

The random Weierstrass zeta function I. Existence, uniqueness, fluctuations

Author(s): Mikhail Sodin, Aron Wennman, Oren Yakir
Published in: Journal of Statistical Physics, Issue 190, 2023, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers

Sharp Estimates for Blowing Down Functions in a Denjoy–Carleman Class

Author(s): André Belotto da Silva; Edward Bierstone; Avner Kiro
Published in: IMRN, Issue 13, 2022, Page(s) 9685–9707, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa367

Power substitution in quasianalytic Carleman classes

Author(s): Buhovsky, Lev; Kiro, Avner; Sodin, Sasha
Published in: Israel Journal of Mathematics, Issue 235, 2020, Page(s) 79-90, ISSN 0021-2172
Publisher: Magnes Press

Translation-invariant probability measures on entire functions

Author(s): Buhovsky, Lev; Glucksam, Adi; Logunov, Alexander; Sodin, Mikhail
Published in: Journal d'Analyse Mathématique, Issue 139, 2019, Page(s) 307–339, ISSN 0021-7670
Publisher: Magnes Press

Fluctuations of linear statistics for Gaussian perturbations of the lattice $\mathbb{Z}^d$

Author(s): Yakir, Oren
Published in: Journal of Statistical Physics, Issue 182, 2021, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-021-02730-4

The ‘pits effect’ for entire functions of exponential type and the Wiener spectrum

Author(s): Jacques Benatar; Alexander Borichev; Mikhail Sodin
Published in: Journal of the London Mathematical Society, Issue 104(3), 2021, Page(s) 1433-1451, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12464

The forbidden region for random zeros: appearance of quadrature domains

Author(s): Nishry, Alon; Wennman, Aron
Published in: Commun. Pure Applied Math, 2023, ISSN 1097-0312
Publisher: Wiley and Sons
DOI: 10.1002/cpa.22142

Rigidity for zero sets of Gaussian entire functions

Author(s): Kiro, Avner; Nishry, Alon
Published in: Electron. Commun. Probab, Issue 24, 2019, Page(s) 1-9, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-ecp236

Notes on the Szego minimum problem. I. Measures with deep zeroes

Author(s): Borichev, Alexander; Kononova, Anna; Sodin, Mikhail
Published in: Israel Journal of Mathematics volume, Issue 240, 2020, Page(s) 725-743, ISSN 0021-2172
Publisher: Magnes Press

The random Weierstrass zeta function II. Fluctuations of the electric flux through rectifiable curves

Author(s): Mikhail Sodin, Aron Wennman, Oren Yakir
Published in: Journal of Statistical Physics, Issue 190, 2023, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers

Fluctuations in the number of nodal domains

Author(s): Nazarov, Fedor; Sodin, Mikhail
Published in: J. Math. Phys., Issue 61, 2020, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0018588

Notes on the Szego minimum problem. II. Singular measures

Author(s): Borichev, Alexander; Kononova, Anna; Sodin, Mikhail
Published in: Israel Journal of Mathematics, Issue 240, 2020, Page(s) 745-767, ISSN 0021-2172
Publisher: Magnes Press

Eigenfunctions with Infinitely Many Isolated Critical Points

Author(s): Lev Buhovsky; Alexander Logunov; Mikhail Sodin
Published in: IMRN, Issue 24, 2020, Page(s) 10100-10113, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz181

Measurably entire functions and their growth

Author(s): Adi Glücksam
Published in: Israel Journal of Mathematics, Issue 229/1, 2019, Page(s) 307-339, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-018-1800-3

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

Author(s): Alexander Logunov
Published in: Annals of Mathematics, Issue 187/1, 2018, Page(s) 241-262, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2018.187.1.5

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

Author(s): Alexander Logunov
Published in: Annals of Mathematics, Issue 187/1, 2018, Page(s) 221-239, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2018.187.1.4

On Taylor coefficients of smooth functions

Author(s): Kiro, Avner
Published in: Journal d'Analyse Mathématique, Issue 142, 2020, Page(s) 193–269, ISSN 0021-7670
Publisher: Magnes Press

A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant

Author(s): Buhovsky, Lev; Logunov, Alexander; Malinnikova, Eugenia; Sodin, Mikhail
Published in: Duke Math. J., Issue 171(6), 2022, Page(s) 1349-1378, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2021-0037

Recovering the lattice from its random perturbations

Author(s): Oren Yakir
Published in: IMRN, Issue 8, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa316

Moments of polynomials with random multiplicative coefficients

Author(s): Benatar, Jacques; Nishry, Alon; Rodgers, Brad
Published in: Mathematika, Issue 68, 2022, Page(s) 191-216, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/mtk.12121

Universality for outliers in weakly confined Coulomb-type systems

Author(s): Butez, Raphael; García-Zelada, David; Nishry, Alon; Wennman, Aron
Published in: arXiv, 2021, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2104.03959

Zero distribution of power series and binary correlation of coefficients

Author(s): Benatar, Jacques; Borichev, Alexander; Sodin, Mikhail
Published in: arXiv, 2021, ISSN 2331-8422
Publisher: arXiv

Almost sharp lower bound for the nodal volume of harmonic functions

Author(s): Logunov, Alexander; Priya, Lakshmi; Sartori, Andrea
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2303.07165

A sharp transition in zero overcrowding and undercrowding probabilities for Stationary Gaussian Processes

Author(s): Feldheim, Naomi; Feldheim, Ohad; Priya, Lakshmi
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2303.14808

Fourier uniqueness and non-uniqueness pairs

Author(s): Aleksei Kulikov, Fedor Nazarov, Mikhail Sodin
Published in: arXiv, 2023, ISSN 2331-8442
Publisher: arXiv

Quantitative propagation of smallness for solutions of elliptic equations

Author(s): Alexander Logunov; Alexander Logunov; Alexander Logunov; Eugenia Malinnikova; Eugenia Malinnikova
Published in: Proceedings of the International Congress of Mathematicians (ICM 2018), 2019, Page(s) 2391-2411
Publisher: World Scientific
DOI: 10.1142/9789813272880_0143

Spectra of stationary processes on Z

Author(s): Alexander Borichev, Mikhail Sodin, Benjamin Weiss
Published in: 50 Years with Hardy Spaces A Tribute to Victor Havin, 2018
Publisher: Birkhäuser Basel

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