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Hierarchical structure and the extrema of random fields
Third-party funded project |
Project title |
Hierarchical structure and the extrema of random fields |
Principal Investigator(s) |
Belius, David
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Project Members |
Schmidt, Marius Alexander Fröber, Leon
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Organisation / Research unit |
Departement Mathematik und Informatik / Wahrscheinlichkeitstheorie (Belius) |
Project start |
01.06.2018 |
Probable end |
31.05.2022 |
Status |
Completed |
Abstract |
This project studies extreme values in complex systems in the context of probability theory. It focuses on the extreme values of random fields with logarithmically growing correlations. The goal is to exploit approximate hierarchical structure in models from statistical physics, random matrix theory and probabilistic number theory to prove new results about extrema. |
Keywords |
logarithmically correlated random fields; rigorous statistical physics; complex systems; probabilistic number theory; probability theory; extrema of random fields; random fields |
Financed by |
Swiss National Science Foundation (SNSF)
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25/04/2024
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