Objective 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. Fields of science natural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicsapplied mathematicsstatistics and probability Programme(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) Topic(s) ERC-CG-2013-PE1 - ERC Consolidator Grant - Mathematics Call for proposal ERC-2013-CoG See other projects for this call Funding Scheme ERC-CG - ERC Consolidator Grants Host institution HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET EU contribution € 1 175 200,00 Address REALTANODA STREET 13-15 1053 Budapest Hungary See on map Region Közép-Magyarország Budapest Budapest Activity type Other Principal investigator Balazs Szegedy (Dr.) Administrative Contact Peter Pal Palfy (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET Hungary EU contribution € 1 175 200,00 Address REALTANODA STREET 13-15 1053 Budapest See on map Region Közép-Magyarország Budapest Budapest Activity type Other Principal investigator Balazs Szegedy (Dr.) Administrative Contact Peter Pal Palfy (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
