Objetivo 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. Ámbito científico natural sciencesmathematicsapplied mathematicsmathematical physics Palabras clave Logarithmically correlated fields. Gaussian free field. Extremal process Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-ADG-2015 - ERC Advanced Grant Convocatoria de propuestas ERC-2015-AdG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-ADG - Advanced Grant Institución de acogida WEIZMANN INSTITUTE OF SCIENCE Aportación neta de la UEn € 1 292 500,00 Dirección HERZL STREET 234 7610001 Rehovot Israel Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 292 500,00 Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo WEIZMANN INSTITUTE OF SCIENCE Israel Aportación neta de la UEn € 1 292 500,00 Dirección HERZL STREET 234 7610001 Rehovot Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 292 500,00
