Extremes in logarithmically correlated fields

Project Information

LogCorrelatedFields

Grant agreement ID: 692452

DOI 10.3030/692452

Project closed

EC signature date 25 May 2016

Start date 1 June 2016

End date 30 June 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 292 500,00

EU contribution € 1 292 500,00

Coordinated by

WEIZMANN INSTITUTE OF SCIENCE
Israel

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (31)

A LOCAL CLT FOR LINEAR STATISTICS OF 2D COULOMB GASES

Author(s): Leblé, Thomas; Zeitouni, Ofer
Published in: Markov Proc. Related Fields, Issue 27, 2021, Page(s) 607-630, ISSN 1024-2953
Publisher: Polymat

Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background

Author(s): Raphael Butez, David García-Zelada
Published in: Annals of applied probability, Issue 32, 2022, Page(s) 392-425, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-aap1682

Concentration of the complexity of spherical pure <i>p</i>-spin models at arbitrary energies

Author(s): Eliran Subag; Ofer Zeitouni
Published in: Journal of Mathematical Physics, Issue 62, 2021, Page(s) 123301, 1-15, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0070582

Spectrum of random perturbations of Toeplitz matrices with finite symbols

Author(s): Anirban Basak, Elliot Paquette, Ofer Zeitouni
Published in: Transactions of the American math. Society, Issue 373, 2020, Page(s) 4099-5023, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8040

Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős–Rényi graphs

Author(s): Fanny Augeri
Published in: Annals Probab., Issue 48, 2020, Page(s) 2404-2448, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1427

A spectral condition for spectral gap: fast mixing in high-temperature Ising models

Author(s): Ronen Eldan; Frederic Koehler; Ofer Zeitouni
Published in: Probability theory and related fields, Issue 182, 2021, Page(s) 1035-1051, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01085-x

Limit law for the cover time of a random walk on a binary tree

Author(s): Amir Dembo, Jay Rosen, Ofer Zeitouni
Published in: Annales de L'institut Henri Poincare (B), Issue 57, 2021, Page(s) 830-855, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/20-aihp1098

Deterministic equivalence for noisy perturbations

Author(s): Martin Vogel, Ofer Zeitouni
Published in: Proceedings of the American Mathematical Society, Issue June 2021, 2021, Page(s) 1, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15499

Law of large numbers and fluctuations in the sub-critical and $L^2$ regions for SHE and KPZ equation in dimension $d\geq 3$

Author(s): Cosco, Clément; Nakajima, Shuta; Nakashima, Makoto
Published in: Stochastic processes and their applications, Issue 151, 2022, Page(s) 127-173, ISSN 0304-4149
Publisher: Elsevier BV
DOI: 10.1016/j.spa.2022.05.010

Large Deviations for the Largest Eigenvalue of Sub-Gaussian Matrices

Author(s): Fanny Augeri, Alice Guionnet, Jonathan Husson
Published in: Communications in Mathematical Physics, Issue 383/2, 2021, Page(s) 997-1050, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04027-9

On the Liouville heat kernel for $k$-coarse MBRW

Author(s): Jian Ding, Ofer Zeitouni, Fuxi Zhang
Published in: Electronic Journal of Probability, Issue 23/0, 2018, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/18-EJP189

The Curie–Weiss model with Complex Temperature: Phase Transitions

Author(s): Mira Shamis, Ofer Zeitouni
Published in: Journal of Statistical Physics, Issue 172/2, 2018, Page(s) 569-591, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-017-1812-0

Eigenvectors of non normal random matrices

Author(s): Florent Benaych-Georges, Ofer Zeitouni
Published in: Electronic Communications in Probability, Issue 23/0, 2018, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/18-ecp171

The Edwards–Wilkinson Limit of the Random Heat Equation in Dimensions Three and Higher

Author(s): Yu Gu, Lenya Ryzhik, Ofer Zeitouni
Published in: Communications in Mathematical Physics, Issue 363/2, 2018, Page(s) 351-388, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3202-0

Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields

Author(s): Wei Wu, Ofer Zeitouni
Published in: Electronic Communications in Probability, Issue 24/0, 2019, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-ecp215

The Maximum of the CUE Field

Author(s): Elliot Paquette, Ofer Zeitouni
Published in: International Mathematics Research Notices, Issue 2018/16, 2017, Page(s) 5028-5119, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx033

The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices

Author(s): Gaultier Lambert, Elliot Paquette
Published in: Probability Theory and Related Fields, Issue 173/1-2, 2019, Page(s) 157-209, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-018-0832-2

Heat Kernel for Liouville Brownian Motion and Liouville Graph Distance

Author(s): Jian Ding, Ofer Zeitouni, Fuxi Zhang
Published in: Communications in Mathematical Physics, Issue volume 371, 2019, Page(s) 561--618, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03467-8

Barrier estimates for a critical Galton–Watson process and the cover time of the binary tree

Author(s): David Belius, Jay Rosen, Ofer Zeitouni
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Issue 55/1, 2019, Page(s) 127-154, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/17-aihp878

Fluctuations of the solutions to the KPZ equation in dimensions three and higher

Author(s): Alexander Dunlap, Yu Gu, Lenya Ryzhik, Ofer Zeitouni
Published in: Probability Theory and Related Fields, 2020, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00938-w

Tightness for the cover time of the two dimensional sphere

Author(s): David Belius, Jay Rosen, Ofer Zeitouni
Published in: Probability Theory and Related Fields, 2020, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00940-2

Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime

Author(s): Gérard Ben Arous, Eliran Subag, Ofer Zeitouni
Published in: Communications on Pure and Applied Mathematics, 2019, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21875

Localization phase transition in stochastic dynamics on networks with hub topology

Author(s): Inbar Seroussi, Nir Sochen
Published in: Physica A: Statistical Mechanics and its Applications, 2020, Page(s) 124636, ISSN 0378-4371
Publisher: Elsevier BV
DOI: 10.1016/j.physa.2020.124636

Maximum of the Characteristic Polynomial for a Random Permutation Matrix

Author(s): Nicholas Cook, Ofer Zeitouni
Published in: Communications on Pure and Applied Mathematics, 2020, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21899

Subsequential tightness for branching random walk in random environment

Author(s): Xaver Kriechbaum
Published in: Electronic Communications in Probability, Issue 26/none, 2021, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ecp386

Universality of Poisson Limits for Moduli of Roots of Kac Polynomials

Author(s): Nick Cook, Hoi Nguyen, Oren Yakir, Ofer Zeitouni
Published in: International Mathematical Research Notices, Issue 2022, 2022, Page(s) 1--36, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac021

Topologically induced metastability in a periodic XY chain

Author(s): Clément Cosco, Assaf Shapira
Published in: Journal of Mathematical Physics, Issue 62/4, 2021, Page(s) 043301, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0004606

The minimum modulus of Gaussian trigonometric polynomials

Author(s): Oren Yakir; Ofer Zeitouni
Published in: Israel Journal of Mathematics, Issue 245, 2021, Page(s) 543-566, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-021-2218-x

Outliers of random perturbations of Toeplitz matrices with finite symbols

Author(s): Anirban Basak, Ofer Zeitouni
Published in: Probability Theory and Related Fields, Issue 178/3-4, 2020, Page(s) 771-826, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-020-00990-x

Moderate deviations for the self-normalized random walk in random scenery

Author(s): Tal Peretz
Published in: Electronic Journal of Probability, Issue 26/none, 2021, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp607

Directed Polymers on Infinite Graphs

Author(s): Clément Cosco, Inbar Seroussi, Ofer Zeitouni
Published in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04034-w