CORDIS Project
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This project investigates the enumeration of large structures under local constraints, focusing on random graphs and hypergraphs. It aims to solve key problems in combinatorics and probability theory, including subgraph counts and the global structure of sparse sets, using advanced mathematical techniques.
The central theme of this proposal is the enumeration of large structures obeying a family of local constraints.
There are numerous well-studied instances of this general problem in combinatorics, probability theory, and statistical physics.
We propose to study a variety of interrelated open problems, spanning extremal and probabilistic combinatorics, Ramsey theory, and large deviation theory, whose unifying theme is the distribution of copies of a given graph in large random graphs.The first…
TEL AVIV UNIVERSITY
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