CORDIS Project
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The project explores advanced concepts in Probability Theory and its applications in Statistical Physics, Computer Science, and Combinatorics. It investigates models in high dimensions, independence sensitivity in boolean functions, and optimal mass allocations, aiming to deepen understanding in these interconnected fi…
The proposed project combines several studies in Probability Theory and its connections with Statistical Physics, Computer Science, Combinatorics and Approximation Theory.
The first two studies aim to uncover the Gibbs-state structure of two statistical physics models in high dimensions - the anti-ferromagnetic 3-state Potts model and the hard-core model.
These studies are intimately related to combinatorial questions of the rigidity of independent sets and proper 3-colorings in the high-dimensi…
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