CORDIS Project
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This project addresses fundamental questions in the ergodic theory of parabolic dynamical systems, focusing on their quantitative aspects. It aims to develop a unified approach to studying ergodicity and periodic orbits in various mathematical contexts.
The ergodic theory of parabolic dynamical systems is an area in smooth ergodic theory that is relevant for its connections to mathematical physics and to analytic number theory.
A dynamical system is parabolic whenever its orbits diverge at an intermediate (often polynomial) rate between bounded/logarithmic (called elliptic) and exponential (called hyperbolic) rate.The proposal tackles several outstanding questions in the ergodic theory of parabolic flows with emphasis on quantitative aspects…
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