Objetivo Built on decades of deep research in ergodic theory, Szemeredi's regularity theory and statistical physics, a new subject is emerging whose goal is to study convergence and limits of various structures.The main idea is to regard very large structures in combinatorics and algebra as approximations of infinite analytic objects. This viewpoint brings new tools from analysis and topology into these subjects. The success of this branch of mathematics has already been demonstrated through numerous applications in computer science, extremal combinatorics, probability theory and group theory. The present research plan addresses a number of open problems in additive combinatorics, ergodic theory, higher order Fourier analysis, extremal combinatorics and random graph theory. These subjects are all interrelated through the limit approach. Ámbito científico natural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicsapplied mathematicsstatistics and probability Programa(s) 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) Tema(s) ERC-CG-2013-PE1 - ERC Consolidator Grant - Mathematics Convocatoria de propuestas ERC-2013-CoG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-CG - ERC Consolidator Grants Institución de acogida HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET Aportación de la UE € 1 175 200,00 Dirección REALTANODA STREET 13-15 1053 Budapest Hungría Ver en el mapa Región Közép-Magyarország Budapest Budapest Tipo de actividad Other Investigador principal Balazs Szegedy (Dr.) Contacto administrativo Peter Pal Palfy (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET Hungría Aportación de la UE € 1 175 200,00 Dirección REALTANODA STREET 13-15 1053 Budapest Ver en el mapa Región Közép-Magyarország Budapest Budapest Tipo de actividad Other Investigador principal Balazs Szegedy (Dr.) Contacto administrativo Peter Pal Palfy (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos