CORDIS Project
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This project explores geometric and probabilistic combinatorics, focusing on discrete isoperimetric relations and their applications. It investigates the threshold behavior of random graphs and the relationships between faces of polytopes, aiming to advance understanding in these mathematical areas.
We consider problems in geometric and probabilistic combinatorics and discuss some applications to and connections with other areas.One underlying theme of our proposal is discrete isoperimetric relations.On the probabilistic side we discuss applications of Fourier analysis of Boolean functions to the study of threshold behavior of random graphs and other stochastic models, and propose ten directions for this emerging theory.
One crucial problem is the study of near equality cases of Harper's i…
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