CORDIS Project
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This research explores sudden changes in various systems, applying topological methods to understand singularities. The project aims to extend the proposer's expertise in topology to modern geometry and algebraic combinatorics through collaboration and training.
In physical sciences, a very challenging problem is the understanding of sudden changes caused by smooth alterations of parameters.
For instance, water suddenly boils, or ice melts.
The back of the camel breaks suddenly under a load of just one more straw.
These abrupt changes are not only present in dynamical systems, but also in biology (e.g. population models, cell growth), and human society (e.g. stock markets).
The proposer studies the mathematical theory of these phenomena, namely uses top…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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