Obiettivo 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 isoperimetric inequality.On the geometric side we discuss the relation between the number of (k-1)-dimensional faces and the number of k-dimensional faces for complexes that can be embedded in 2k-dimensions. We also consider metrical and algorithmical problems on graphs of polytopes and Helly-type theorems. Campo scientifico natural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatorics Programma(i) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Invito a presentare proposte ERC-2012-ADG_20120216 Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-AG - ERC Advanced Grant Istituzione ospitante THE HEBREW UNIVERSITY OF JERUSALEM Contributo UE € 1 376 504,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israele Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Gil Kalai (Prof.) Contatto amministrativo Hani Ben-Yehuda (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto THE HEBREW UNIVERSITY OF JERUSALEM Israele Contributo UE € 1 376 504,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Gil Kalai (Prof.) Contatto amministrativo Hani Ben-Yehuda (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
