CORDIS Project
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This project focuses on the convergence of large mathematical structures through the lens of ergodic theory and statistical physics. By applying analytical and topological tools, it aims to address open problems in various fields such as combinatorics and probability theory.
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 app…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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