Research could offer clues to key questions on smooth ergodic theory and dynamical systems
The EU-funded Resonances project plans to develop new, original methods to address a number of fundamental questions regarding smooth ergodic theory and dynamical systems. The newly proposed methods should find applications in different areas of mathematics, in particular geometry, number theory and topology. The questions under study are specifically related to resonances, which characterise statistical properties of dynamical systems through the correlation function and the zeta function. The project aims to develop a new theory of resonances and correlation functions for a broader class of systems that are currently not being addressed by any existing theories.
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