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LogCorrelatedFields SIGNED

Extremes in logarithmically correlated fields

Total Cost €


EC-Contrib. €






Project "LogCorrelatedFields" data sheet

The following table provides information about the project.


Organization address
address: HERZL STREET 234
postcode: 7610001

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 1˙292˙500 €
 EC max contribution 1˙292˙500 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-AdG
 Funding Scheme ERC-ADG
 Starting year 2016
 Duration (year-month-day) from 2016-06-01   to  2021-12-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    WEIZMANN INSTITUTE OF SCIENCE IL (REHOVOT) coordinator 1˙292˙500.00


 Project objective

The proposed research deals with the extremes of logarithmically correlated fields, in both the Gaussian and non-Gaussian setups. Examples of such fields are branching random walks, the (discrete) two dimensional Gaussian free field, the set of points left uncovered by a random walk on the two dimensional torus at times close to the cover time of the torus, the (absolute) values of the characteristic polynomial of random matrices, Ginzburg-Landau models, and more. The proposal builds on recent progress in the study of the maximum and of the extremal process of the two dimensional Gaussian free field, which was made possible by Gaussian comparisons and the introduction of a refined version of the second moment method. The proposed research will develop the tools needed for building a general and flexible theory applicable to general logarithmically correlated fields. Applications to the multiplicative chaos will also be considered.


year authors and title journal last update
List of publications.
2020 Alexander Dunlap, Yu Gu, Lenya Ryzhik, Ofer Zeitouni
Fluctuations of the solutions to the KPZ equation in dimensions three and higher
published pages: , ISSN: 0178-8051, DOI: 10.1007/s00440-019-00938-w
Probability Theory and Related Fields 2020-01-29
2020 David Belius, Jay Rosen, Ofer Zeitouni
Tightness for the cover time of the two dimensional sphere
published pages: , ISSN: 0178-8051, DOI: 10.1007/s00440-019-00940-2
Probability Theory and Related Fields 2020-01-29
2019 Gérard Ben Arous, Eliran Subag, Ofer Zeitouni
Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime
published pages: , ISSN: 0010-3640, DOI: 10.1002/cpa.21875
Communications on Pure and Applied Mathematics 2020-01-29
2018 Mira Shamis, Ofer Zeitouni
The Curie–Weiss model with Complex Temperature: Phase Transitions
published pages: 569-591, ISSN: 0022-4715, DOI: 10.1007/s10955-017-1812-0
Journal of Statistical Physics 172/2 2019-06-14
2018 Florent Benaych-Georges, Ofer Zeitouni
Eigenvectors of non normal random matrices
published pages: , ISSN: 1083-589X, DOI: 10.1214/18-ecp171
Electronic Communications in Probability 23/0 2019-06-05
2018 Yu Gu, Lenya Ryzhik, Ofer Zeitouni
The Edwards–Wilkinson Limit of the Random Heat Equation in Dimensions Three and Higher
published pages: 351-388, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3202-0
Communications in Mathematical Physics 363/2 2019-06-05
2019 Gaultier Lambert, Elliot Paquette
The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices
published pages: 157-209, ISSN: 0178-8051, DOI: 10.1007/s00440-018-0832-2
Probability Theory and Related Fields 173/1-2 2019-09-04
2019 Wei Wu, Ofer Zeitouni
Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields
published pages: , ISSN: 1083-589X, DOI: 10.1214/19-ecp215
Electronic Communications in Probability 24/0 2019-09-04
2019 Jian Ding, Ofer Zeitouni, Fuxi Zhang
Heat Kernel for Liouville Brownian Motion and Liouville Graph Distance
published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-019-03467-8
Communications in Mathematical Physics 2019-09-04
2019 David Belius, Jay Rosen, Ofer Zeitouni
Barrier estimates for a critical Galton–Watson process and the cover time of the binary tree
published pages: 127-154, ISSN: 0246-0203, DOI: 10.1214/17-aihp878
Annales de l\'Institut Henri Poincaré, Probabilités et Statistiques 55/1 2019-09-04

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