Objectif 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-dimensional cubic lattice. The third study aims to investigate the notion of independence sensitivity of a boolean function, a notion coming from computer science and error-correcting codes, in the context of complex statistical physics functions such as the percolation crossing function. In the fourth study we will investigate the existence and geometric properties of optimal allocations of mass in an infinite volume setting. This study continues recent developments on factor-map extensions of spatial processes. In the final study, we aim to use probabilistic and analytic tools to answer a long-standing question in approximation theory: how well can Lebesgue measure on the sphere be approximated by a prescribed number of point masses? These studies will significantly extend our understanding of probability theory and its related fields. Champ scientifique natural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicsapplied mathematicsstatistics and probability Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Appel à propositions FP7-PEOPLE-2010-RG Voir d’autres projets de cet appel Régime de financement MC-IRG - International Re-integration Grants (IRG) Coordinateur TEL AVIV UNIVERSITY Contribution de l’UE € 100 000,00 Adresse RAMAT AVIV 69978 Tel Aviv Israël Voir sur la carte Type d’activité Higher or Secondary Education Establishments Contact administratif Lea Pais (Ms.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée
