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Limits of discrete structures

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.

Convocatoria de propuestas

ERC-2013-CoG
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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

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Región
Közép-Magyarország Budapest Budapest
Tipo de actividad
Other
Investigador principal
Balazs Szegedy (Dr.)
Contacto administrativo
Peter Pal Palfy (Prof.)
Enlaces
Coste total
Sin datos

Beneficiarios (1)