CORDIS Project
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This research project explores logarithmically correlated fields, focusing on both Gaussian and non-Gaussian scenarios. It aims to develop a comprehensive theory applicable to various mathematical models, including random walks and Ginzburg-Landau models, with potential applications in understanding complex systems.
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 p…
WEIZMANN INSTITUTE OF SCIENCE
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