CORDIS Project
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This project explores the connections between dynamical systems, ergodic theory, and number theory, aiming to solve key open problems in these areas. It focuses on multidimensional averages, stability in polynomial rings, and the randomness of arithmetic functions, contributing to the mathematical understanding of comp…
The last two decade have witnessed a new spring for dynamical systems.
The field - initiated by Poincare in the study of the N-body problem - has become essential in the understanding of seemingly far off fields such as combinatorics, number theory, and theoretical computer science.
In particular, ideas from ergodic theory played an important role in the resolution of long standing open problems in combinatorics and number theory. A striking example is the role of dynamics on nilmanifolds in the…
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