ODT - THESIS TOPIC: Ágnes Backhausz: Higher-order networks and hypergraph ...


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Thesis topic proposal

Higher-order networks and hypergraph limits

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
mathematics and computing
Doctoral School of Mathematics

Thesis supervisor: Ágnes Backhausz
Location of studies (in Hungarian): HUN-REN Alfréd Rényi Institute of Mathematics
Abbreviation of location of studies: H-REN

Description of the research topic:

The theory of graph limits turned out to be a powerful tool for solving problems in extremal combinatorics and random graphs. The limit object is usually not a graph anymore (e.g. it can be a probability measure or an operator). The goal of the project is to discover extensions of this theory to hypergraphs, describe limit objects of random hypergraphs and higher-order networks, and find applications for mean-field limit theories for dynamics on heterogeneous networks.

Required language skills: English
Further requirements:
This position part of the project BeyondTheEdge; more information and eligibility criteria can be found on the project website Beyond The Edge EU MSCA Doctoral Network. Eligibility criteria: https://cordis.europa.eu/project/id/101120085. Prerequisite

Number of students who can be accepted: 1

Deadline for application: 2024-05-31

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).