Extremes in logarithmically correlated fields

Projektinformationen

LogCorrelatedFields

ID Finanzhilfevereinbarung: 692452

DOI 10.3030/692452

Abgeschlossenes Projekt

EK-Unterschriftsdatum 25 Mai 2016

Startdatum 1 Juni 2016

Enddatum 30 Juni 2022

Finanziert unter

• EXCELLENT SCIENCE - European Research Council (ERC)

Gesamtkosten € 1 292 500,00

EU-Beitrag € 1 292 500,00

Koordiniert durch

WEIZMANN INSTITUTE OF SCIENCE
Israel

Ziel

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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › applied mathematics › mathematical physics

Schlüsselbegriffe

• Logarithmically correlated fields. Gaussian free field. Extremal process

Programm/Programme

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme

Thema/Themen

• ERC-ADG-2015 - ERC Advanced Grant

Aufforderung zur Vorschlagseinreichung

ERC-2015-AdG

Finanzierungsplan

ERC-ADG - Advanced Grant

Gastgebende Einrichtung

WEIZMANN INSTITUTE OF SCIENCE

• Netto-EU-Beitrag: € 1 292 500,00
• Adresse: HERZL STREET 234 ; 7610001 Rehovot ; Israel
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 292 500,00

Begünstigte (1)

WEIZMANN INSTITUTE OF SCIENCE

Israel

• Netto-EU-Beitrag: € 1 292 500,00
• Adresse: HERZL STREET 234 ; 7610001 Rehovot
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 292 500,00